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</div><h2>SL Paper 2</h2><div class="specification">
<p>An ideal monatomic gas is kept in a container of volume 2.1 × 10<sup>–4</sup> m<sup>3</sup>, temperature 310 K and pressure 5.3 × 10<sup>5</sup> Pa.</p>
</div>
<div class="specification">
<p>The volume of the gas in (a) is increased to 6.8 × 10<sup>–4</sup> m<sup>3</sup> at constant temperature.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by an ideal gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the number of atoms in the gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in J, the internal energy of the gas.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in Pa, the new pressure of the gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, in terms of molecular motion, this change in pressure.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>a gas in which there are no intermolecular forces</p>
<p><strong><em>OR</em></strong></p>
<p>a gas that obeys the ideal gas law/all gas laws at all pressures, volumes and temperatures</p>
<p><strong><em>OR</em></strong></p>
<p>molecules have zero PE/only KE</p>
<p> </p>
<p><em>Accept atoms/particles.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>N</em> = <strong>«</strong>\(\frac{{pV}}{{kT}} = \frac{{5.3 \times {{10}^5} \times 2.1 \times {{10}^{ - 4}}}}{{1.38 \times {{10}^{ - 23}} \times 310}}\)<strong>»</strong> 2.6 × 10<sup>22</sup></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>For one atom<span class="Apple-converted-space"> <em>U</em> = \(\frac{3}{2}\)<em>kT</em></span><strong>»</strong> \(\frac{3}{2}\) × 1.38 × 10<sup>–23</sup> × 310 / 6.4 × 10<sup>–21</sup> <strong>«</strong>J<strong>»</strong></p>
<p><em>U = </em><strong>«</strong>2.6 × 10<sup>22</sup> × \(\frac{3}{2}\) × 1.38 × 10<sup>–23</sup> × 310<strong>»</strong> 170 <strong>«</strong>J<strong>»</strong></p>
<p> </p>
<p> <em>Allow ECF from (a)(ii)</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer</em></p>
<p><em>Allow use of U</em> = \(\frac{3}{2}\)<em>pV</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>p</em><sub>2</sub> = <strong>«</strong>5.3 × 10<sup>5</sup> × \(\frac{{2.1 \times {{10}^{ - 4}}}}{{6.8 \times {{10}^{ - 4}}}}\)<strong>»</strong> 1.6 × 10<sup>5</sup> <strong>«</strong>Pa<strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>volume has increased and<strong>» </strong>average velocity/KE remains unchanged</p>
<p><strong>«</strong>so<strong>» </strong>molecules collide with the walls less frequently/longer time between collisions with the walls</p>
<p><strong>«</strong>hence<strong>» </strong>rate of change of momentum at wall has decreased</p>
<p><strong>«</strong>and so pressure has decreased<strong>»</strong></p>
<p> </p>
<p><em>The idea of average must be included</em></p>
<p><em>Decrease in number of collisions is not sufficient for MP2. Time must be included.</em></p>
<p><em>Accept atoms/particles.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A closed box of fixed volume 0.15 m<sup>3</sup> contains 3.0 mol of an ideal monatomic gas. The temperature of the gas is 290 K.</p>
</div>
<div class="specification">
<p>When the gas is supplied with 0.86 kJ of energy, its temperature increases by 23 K. The specific heat capacity of the gas is 3.1 kJ kg<sup>–1</sup> K<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the pressure of the gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in kg, the mass of the gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the average kinetic energy of the particles of the gas.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to the kinetic model of an ideal gas, how an increase in temperature of the gas leads to an increase in pressure.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>\(\frac{{3.0 \times 8.31 \times 290}}{{0.15}}\)<strong>»</strong></p>
<p>48 <strong>«</strong>kPa<strong>»</strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>mass = <strong>«</strong>\(\frac{{860}}{{3100 \times 23}}\)<strong>»</strong> 0.012 <strong>«</strong>kg<strong>»</strong></p>
<p> </p>
<p><em>Award </em><strong><em>[1] </em></strong><em>for a bald correct answer.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{3}{2}\) 1.38 × 10<sup>–23</sup> × 313 = 6.5 × 10<sup>–21</sup> <strong>«</strong>J<strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>larger temperature implies larger (average) speed/larger (average) KE of molecules/particles/atoms</p>
<p>increased force/momentum transferred to walls (per collision) / more frequent collisions with walls</p>
<p>increased force leads to increased pressure because P = F/A (as area remains constant)</p>
<p> </p>
<p><em>Ignore any mention of PV = nRT.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about thermal properties of matter.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, in terms of the energy of its molecules, why the temperature of a pure substance does not change during melting.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Three ice cubes at a temperature of 0°C are dropped into a container of water at a temperature of 22°C. The mass of each ice cube is 25 g and the mass of the water is 330 g. The ice melts, so that the temperature of the water decreases. The thermal capacity of the container is negligible.</p>
<p>The following data are available.</p>
<p style="padding-left: 30px;">Specific latent heat of fusion of ice \( = \) 3.3 \( \times \) 10<sup>5</sup>J kg<sup>–1</sup></p>
<p style="padding-left: 30px;">Specific heat capacity of water \( = \) 4.2 \( \times \) 10<sup>3</sup> J kg<sup>–1</sup> K<sup>–1</sup></p>
<p>Calculate the final temperature of the water when all of the ice has melted. Assume that no thermal energy is exchanged between the water and the surroundings.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">energy supplied/bonds broken/heat absorbed;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">increases potential energy;</span></p>
<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">no change in kinetic energy (so no change in temperature); </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 5">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 5">
<div class="layoutArea">use of <em>M</em> \( \times \) 4.2 \( \times \) 10<sup>3</sup> \( \times \) ∆<em>θ </em></div>
<div class="layoutArea"><em>ml </em>\( = \) 75 \( \times \) 10<sup>–3</sup> \( \times \) 3.3 \( \times \) 10<sup>5</sup> / 24750 J;<br>recognition that melted ice warms and water cools to common final temperature;</div>
<div class="layoutArea">3.4ºC;
<em><br></em></div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question">
<p>This question is about internal energy.</p>
<p>(i) Mathilde raises the temperature of water in an electric kettle to boiling point. Once the water is boiling steadily, she measures the change in the mass of the kettle and its contents over a period of time.</p>
<p>The following data are available.</p>
<p style="padding-left: 30px;">Initial mass of kettle and water = 1.880 kg<br>Final mass of kettle and water = 1.580 kg<br>Time between mass measurements = 300 s<br>Power dissipation in the kettle = 2.5 kW</p>
<p>Determine the specific latent heat of vaporization of water.</p>
<p>(ii) Outline why your answer to (b)(i) is an overestimate of the specific latent heat of vaporization of water.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>(i) mass lost in 300 s=(1.880-1.580)=0.3 (kg);<br>(energy supplied=750 kJ) (do not award credit for this line)<br><em>L</em>=2.5 MJ kg<sup>–1</sup>; <em>(unit must appear correctly here)<br>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<p>(ii) energy will be transferred to surroundings; } <em>(accept energy is lost by/from kettle to surroundings)</em><br>so calculated energy to water is too large / change in mass too large;<br>(hence overestimate)<br><em>Award <strong>[0]</strong> for a bald correct answer.</em><br><em>Treat references to energy gained by kettle as neutral; the kettle is at a </em><em>constant temperature.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about energy.</p>
<p class="p1">At its melting temperature, molten zinc is poured into an iron mould. The molten zinc becomes a solid without changing temperature.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why a given mass of molten zinc has a greater internal energy than the same mass of solid zinc at the same temperature.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Molten zinc cools in an iron mould. </p>
<p class="p1">The temperature of the iron mould was 20° C before the molten zinc, at its melting temperature, was poured into it. The final temperature of the iron mould and the solidified zinc is 89° C.</p>
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Mass of iron mould <span class="Apple-converted-space"> </span>\( = 12{\text{ kg}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Mass of zinc <span class="Apple-converted-space"> </span>\( = 1.5{\text{ kg}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific heat capacity of iron <span class="Apple-converted-space"> </span>\( = 440{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific latent heat of fusion of zinc <span class="Apple-converted-space"> </span>\( = 113{\text{ kJ}}\,{\text{k}}{{\text{g}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Melting temperature of zinc <span class="Apple-converted-space"> </span>\( = 420{\text{ }}^\circ {\text{C}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Using the data, determine the specific heat capacity of zinc.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">same temperature so (average) kinetic energy (of atoms/molecules) the same;</p>
<p class="p1">(interatomic) potential energy of atoms is greater for liquid / energy is needed to separate the atoms; } <em>(do not allow “forces are weaker” arguments)</em></p>
<p class="p1">internal energy = potential energy + kinetic energy; <em>(allow BOD for clear algebra)</em></p>
<p class="p1">(so internal energy is greater)</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">energy lost by freezing zinc \( = 1.5 \times 113000{\text{ }}( = 170000{\text{ J}})\); } <em>(watch for power of ten error)</em></p>
<p class="p1">energy gained by iron \( = 12 \times 440 \times [89 - 20]{\text{ }}( = 364000{\text{ J}})\);</p>
<p class="p1">energy lost by cooling solid zinc \( = {\text{195000 (J)}}\);</p>
<p class="p1">specific heat capacity of zinc \(\frac{{195000}}{{1.5 \times [420 - 89]}} = 390{\text{ (J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}})\);</p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for an answer of 733 </em><span class="s1"><em>(kJ</em>\(\,\)<em>kg<sup>–1</sup>K<sup>–1</sup>) </em></span><em>(1.5 </em>\( \times \) <em>113 was used).</em></p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p2">thermal energy lost by zinc = thermal energy gained by iron;</p>
<p class="p1">indication that thermal energy lost by zinc has a latent heat contribution and a specific heat contribution expressed algebraically or numerically;</p>
<p class="p1">substitution correct;</p>
<p class="p1">answer;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many candidates scored at least two marks on this straightforward recall of material from the syllabus. In weak answers it was not always clear that the statements of energy referred to molecules, atoms or particles in the solid or liquid. There was also confusion as to whether the melting process involved an increase or decrease in potential energy.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The calculation was well done by many with substantial numbers of correct answers. A common error was a failure to read the units of specific latent heat of the zinc correctly and thus to incur a power of ten error. This lost some though not all of the marks. Solutions that incurred zero or a low score were characterised by ill-presented and unexplained numbers showing that the candidate had little idea of the correct approach to the problem. Examiners expected the answer to this question to begin with “Energy lost by zinc = energy gained by iron” and to proceed step by step from there.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about energy resources. <strong>Part 2 </strong>is about thermal physics.</p>
<p class="p1"><strong>Part 1 </strong>Energy resources</p>
<p class="p1">Electricity can be generated using nuclear fission, by burning fossil fuels or using pump storage hydroelectric schemes.</p>
</div>
<div class="specification">
<p class="p1">In a nuclear reactor, outline the purpose of the</p>
</div>
<div class="specification">
<p class="p1">Fission of one uranium-235 nucleus releases 203 MeV.</p>
</div>
<div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about energy resources. <strong>Part 2 </strong>is about thermal physics.</p>
<p class="p1"><strong>Part 2 </strong>Thermal physics</p>
</div>
<div class="specification">
<p class="p1">A mass of 0.22 kg of lead spheres is placed in a well-insulated tube. The tube is turned upside down several times so that the spheres fall through an average height of 0.45 m each time the tube is turned. The temperature of the spheres is found to increase by 8 °C.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-30_om_17.06.57.png" alt="N15/4/PHYSI/SP2/ENG/TZ0/05.f"></p>
<p class="p1"> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline which of the three generation methods above is renewable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">heat exchanger.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">moderator.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the maximum amount of energy, in joule, released by 1.0 g of uranium-235 as a result of fission.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe the main principles of the operation of a pump storage hydroelectric scheme.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A hydroelectric scheme has an efficiency of 92%. Water stored in the dam falls through an average height of 57 m. Determine the rate of flow of water, in \({\text{kg}}\,{{\text{s}}^{ - 1}}\), required to generate an electrical output power of 4.5 MW.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Distinguish between specific heat capacity and specific latent heat.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Discuss the changes to the energy of the lead spheres.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The specific heat capacity of lead is \(1.3 \times {10^2}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\)<span class="s1">. Deduce the number of times that the tube is turned upside down.</span></p>
<div class="marks">[4]</div>
<div class="question_part_label">f.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">pump storage;</p>
<p class="p1">renewable as can be replaced in short time scale / storage water can be pumped back up to fall again / source will not run out; } <span class="s1"><em>(do not accept “because water is used”)</em></span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(allows coolant to) transfer thermal/heat (energy) from the reactor/(nuclear) reaction to the water/steam;</p>
<p class="p1"><em>Must see reference to transfer – “cooling reactor/heating up water” is not enough.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">reduces speed/kinetic energy of neutrons; <em>(do not allow “particles”) </em></p>
<p class="p1">improves likelihood of fission occurring/U-235 capturing neutrons;</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(203 MeV is equivalent to) \(3.25 \times {10^{ - 11}}\) (J);</p>
<p class="p1">\(6.02 \times {10^{23}}\) nuclei have a mass of 235 (g) / evaluates number of nuclei;</p>
<p class="p1">(\(2.56 \times {10^{21}}\) nuclei produce) \(8.32 \times {10^{10}}\) (J) / multiplies two previous answers;</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1"><em>Award </em><strong><em>[1] </em></strong><em>for correct conversion from eV to J even if rest is incorrect.</em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">water flows between water masses/reservoirs at different levels;</p>
<p class="p1">flow of water drives turbine/generator to produce electricity;</p>
<p class="p1">at off peak times the electricity produced is used to raise water from lower to higher reservoir;</p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of \(\frac{{mgh}}{t}\);</p>
<p class="p1">\(\frac{m}{t} = \frac{{4.5 \times {{10}^6}}}{{0.92 \times 9.81 \times 57}}\); <em>(t is usually ignored, assume 1 s if not seen)</em></p>
<p class="p1">\(8.7 \times {10^3}{\text{ (kg}}\,{{\text{s}}^{ - 1}}{\text{)}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">specific heat capacity is/refers to energy required to change the temperature (without changing state);</p>
<p class="p1">specific latent heat is energy required to change the state/phase without changing the temperature;</p>
<p class="p1"><em>If definitions are given they must include salient points given above.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">gravitational potential energy \( \to \) kinetic energy;</p>
<p class="p1">kinetic energy \( \to \) internal energy/thermal energy/heat energy;</p>
<p class="p1"><em>Do not allow heat.</em></p>
<p class="p1"><em>Two separate energy changes must be explicit.</em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">use of \(mc\Delta T\);</p>
<p class="p1">use of \(n \times mg\Delta h\);</p>
<p class="p1">equating \((c\Delta T = ng\Delta h)\);</p>
<p class="p1">236 <strong><em>or </em></strong>240;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">use of \(\Delta U = mc\Delta T\);</p>
<p class="p1">\((0.22 \times 1.3 \times {10^2} \times 8 = ){\text{ }}229{\text{ (J)}}\);</p>
<p class="p1">\(n \times mg\Delta h = 229{\text{ (J)}}\);</p>
<p class="p1">\(n = \frac{{229}}{{0.22 \times 9.81 \times 0.45}} = 236\) <strong><em>or </em></strong>240; } <em>(allow if answer is rounded up to give complete number of inversions)</em></p>
<p class="p1"><em>Award </em><strong><em>[4] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">f.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The essential difference between specific heat capacity and specific latent heat is that the former refers to a change of temperature without changing state; whereas the latter refers to a change of state without changing temperature. Most candidates just wrote definitions which they had learnt by rote – and omitted the constant temperature for a substance changing state.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This is a question specifically about energy changes so candidates are expected to use accurate language and spell out the changes one by one. Common mistakes were omitting the “gravitational” in gravitational potential energy; referring to “heat” rather than thermal energy; and saying that gravitational potential energy changed to thermal and kinetic energy as if it were a single process.</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was generally well done. There were four marks and the question asks the candidates to “deduce” so it is essential that the argument is transparent. The examiner cannot be expected to search through a mass of numbers in order to carry forward an error.</p>
<div class="question_part_label">f.ii.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about the motion of a ship. <strong>Part 2 </strong>is about melting ice.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1</strong> Motion of a ship</p>
</div>
<div class="specification">
<p class="p1">Some cargo ships use kites working together with the ship’s engines to move the vessel.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_08.36.14.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04_Part1.04.b"></p>
<p class="p1">The tension in the cable that connects the kite to the ship is 250 kN. The kite is pulling the ship at an angle of 39° to the horizontal. The ship travels at a steady speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\) when the ship’s engines operate with a power output of 2.7 MW.</p>
</div>
<div class="specification">
<p class="p1">The ship’s engines are switched off and the ship comes to rest from a speed of \({\text{7 m}}\,{{\text{s}}^{ - 1}}\) in a time of 650 s.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2</strong> Melting ice</p>
</div>
<div class="specification">
<p class="p1">A container of negligible mass, isolated from its surroundings, contains 0.150 kg of ice at a temperature of –18.7 °C. An electric heater supplies energy at a rate of 125 W.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the meaning of work.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the work done on the ship by the kite when the ship travels a distance of 1.0 km.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Show that, when the ship is travelling at a speed of \({\text{8.5 m}}\,{{\text{s}}^{ - 1}}\), the kite provides about 40% of the total power required by the ship.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The kite is taken down and no longer produces a force on the ship. The resistive force \(F\) that opposes the motion of the ship is related to the speed \(v\)<em> </em>of the ship by</p>
<p class="p1">\[F = k{v^2}\]</p>
<p class="p1">where \(k\) is a constant.</p>
<p class="p1">Show that, if the power output of the engines remains at 2.7 MW, the speed of the ship will decrease to about \({\text{7 m}}\,{{\text{s}}^{ - 1}}\). Assume that \(k\) is independent of whether the kite is in use or not.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Estimate the distance that the ship takes to stop. Assume that the acceleration is uniform.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">It is unlikely that the acceleration of the ship will be uniform given that the resistive force acting on the ship depends on the speed of the ship. Using the axes, sketch a graph to show how the speed \(v\) varies with time \(t\) after the ship’s engines are switched off.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-02_om_11.57.32.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04.d.ii"></p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe, with reference to molecular behaviour, the process of melting ice.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">After a time interval of 45.0 s all of the ice has reached a temperature of 0 °C without any melting. Calculate the specific heat capacity of ice.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific heat capacity of water <span class="Apple-converted-space"> </span>\( = 4200{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Specific latent heat of fusion of ice <span class="Apple-converted-space"> </span>\( = 3.30 \times {10^5}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}\)</p>
<p class="p1">Determine the final temperature of the water when the heater supplies energy for a further 600 s.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The whole of the experiment in (f)(i) and (f)(ii) is repeated with a container of negligible mass that is not isolated from the surroundings. The temperature of the surroundings is 18 °C. Comment on the final temperature of the water in (f)(ii).</p>
<div class="marks">[3]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{work done}} = {\text{force}} \times {\text{distance moved}}\);</p>
<p class="p1">(distance moved) in direction of force;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">energy transferred;</p>
<p class="p1">from one location to another;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">\({\text{work done}} = Fs\cos \theta \);</p>
<p class="p1">with each symbol defined;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{horizontal force}} = 250\,000 \times \cos 39^\circ {\text{ }}( = 1.94 \times {10^5}{\text{ N}})\);</p>
<p class="p1">\({\text{work done}} = 1.9 \times {10^8}{\text{ J}}\);</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{power provided by kite}} = (1.94 \times {10^5} \times 8.5 = ){\text{ }}1.7 \times {10^6}{\text{ W}}\);</p>
<p class="p1">\({\text{total power}} = (2.7 + 1.7) \times {10^6}{\text{ W }}( = 4.4 \times {10^6}{\text{ W}})\);</p>
<p class="p1">\({\text{fraction provided by kite}} = \frac{{1.7}}{{2.7 + 1.7}}\);</p>
<p class="p1">38% <strong><em>or </em></strong>0.38; <em>(must see answer to 2</em><span class="s1">+ </span><em>sig figs as answer is given)</em></p>
<p class="p1"><em>Allow answers in the range of 37 to 39% due to early rounding.</em></p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for a reverse argument such as:</em></p>
<p class="p1">if 2.7 MW is 60%;</p>
<p class="p1">then kite power is \(\frac{2}{3} \times 2.7{\text{ MW}} = 1.8{\text{ MW}}\);</p>
<p class="p1">shows that kite power is actually 1.7 MW; <em>(QED)</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(P = (k{v^2}) \times v = k{v^3}\);</p>
<p class="p1">\(\frac{{{v_1}}}{{{v_2}}} = \left( {\sqrt[3]{{\left( {\frac{{{P_1}}}{{{P_2}}}} \right)}} = } \right){\text{ }}\sqrt[3]{{\left( {\frac{{7.7}}{{4.4}}} \right)}}\);</p>
<p class="p1">\({\text{final speed of ship}} = 7.2{\text{ m}}\,{{\text{s}}^{ - 1}}\); <em>(at least 2 sig figs required).</em></p>
<p class="p1"><em>Approximate answer given, marks are for working only.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">correct substitution of 7 or 7.2 into appropriate kinematic equation;</p>
<p class="p1">an answer in the range of 2200 to 2400 m;</p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">starts at \(7.0/7.2{\text{ m}}\,{{\text{s}}^{ - 1}}\); <em>(allow ECF from (d)(i))</em></p>
<p class="p1">correct shape;</p>
<p class="p1"><img src="images/Schermafbeelding_2016-09-02_om_12.00.29.png" alt="N14/4/PHYSI/SP2/ENG/TZ0/04.d.ii/M"></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">in ice, molecules vibrate about a fixed point;</p>
<p class="p1">as their total energy increases, the molecules (partly) overcome the attractive force between them;</p>
<p class="p1">in liquid water the molecules are able to migrate/change position;</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\((Q = ){\text{ }}45.0 \times 125{\text{ }}( = 5625{\text{ J}})\);</p>
<p class="p1">\(c = \left( {\frac{Q}{{m\Delta \theta }} = } \right){\text{ }}2.01 \times {10^3}{\text{ J}}\,{\text{k}}{{\text{g}}^{ - 1}}{{\text{K}}^{ - 1}}\);</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\({\text{energy available}} = 125 \times 600{\text{ }}( = 75000{\text{ J}})\);</p>
<p class="p1">\({\text{energy available to warm the water}} = 75000 - [0.15 \times 3.3 \times {10^5}]{\text{ }}( = 25500{\text{ J}})\);</p>
<p class="p1">\({\text{temperature}} = \left( {\frac{{25500}}{{0.15 \times 4200}} = } \right){\rm{ 40.5 ^\circ C}}\);</p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">ice/water spends more time below 18 °<span class="s2">C</span>;</p>
<p class="p1">so net energy transfer is in to the system;</p>
<p class="p1">so final water temperature is higher;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">ice/water spends less time below 18 °<span class="s2">C</span>;</p>
<p class="p1">so net energy transfer is out of the system;</p>
<p class="p1">so final water temperature is lower;</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This is a “show that” question which means that the candidate is obliged to show their line of reasoning. Very few SL candidates did this.</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was easy using proportionality, but most candidates at SL attempted to calculate k unnecessarily. Even so there were many correct answers.</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A minority of candidates knew that molecules made a transition from being localised to being free to migrate, but had difficulty expressing their answers coherently. Candidates are so used to commenting on the energy transformations when ice melts, that many completely misread the question.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many good answers, although those that did not get the correct answers presented their working in such a way that part marks (ECF) were not able to be given.</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many good answers, although those that did not get the correct answers presented their working in such a way that part marks (ECF) were not able to be given.</p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">The significance of the temperature of the surroundings was ignored by nearly all candidates, but most were able to obtain 2 marks for suggesting that thermal energy would be lost to the surroundings causing a lower final temperature.</p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about the use of energy resources.</p>
</div>
<div class="specification">
<p class="p1">Electrical energy is obtained from tidal energy at La Rance in France.</p>
<p class="p1">Water flows into a river basin from the sea for six hours and then flows from the basin back to the sea for another six hours. The water flows through turbines and generates energy during both flows.</p>
<p class="p1">The following data are available.</p>
<p class="p1"><span class="Apple-converted-space"> </span>Area of river basin <span class="Apple-converted-space"> </span>\( = 22{\text{ k}}{{\text{m}}^{\text{2}}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Change in water level of basin over six hours <span class="Apple-converted-space"> </span>\( = 6.0{\text{ m}}\)</p>
<p class="p1"><span class="Apple-converted-space"> </span>Density of water <span class="Apple-converted-space"> </span>\( = 1000{\text{ kg}}\,{{\text{m}}^{ - 3}}\)</p>
</div>
<div class="specification">
<p class="p1">Nuclear reactors are used to generate energy. In a particular nuclear reactor, neutrons collide elastically with carbon-12 nuclei \(\left( {_{\;{\text{6}}}^{{\text{12}}}{\text{C}}} \right)\) that act as the moderator of the reactor. A neutron with an initial speed of \(9.8 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\) collides head-on with a stationary carbon-12 nucleus. Immediately after the collision the carbon-12 nucleus has a speed of \(1.5 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State the difference between renewable and non-renewable energy sources.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i)<span class="Apple-converted-space"> </span>The basin empties over a six hour period. Show that about \(6000{\text{ }}{{\text{m}}^3}\) of water flows through the turbines every second.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show that the average power that the water can supply over the six hour period is about 0.2 GW.</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>La Rance tidal power station has an energy output of \(5.4 \times {10^8}{\text{ kW}}\,{\text{h}}\) per year. Calculate the overall efficiency of the power station. Assume that the water can supply 0.2 GW at all times.</p>
<p class="p2">Energy resources such as La Rance tidal power station could replace the use of</p>
<p class="p2">fossil fuels. This may result in an increase in the average albedo of Earth.</p>
<p class="p2">(iv) <span class="Apple-converted-space"> </span>State <strong>two </strong>reasons why the albedo of Earth must be given as an average value.</p>
<div class="marks">[10]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>State the principle of conservation of momentum.</p>
<p class="p2">(ii) <span class="Apple-converted-space"> </span>Show that the speed of the neutron immediately after the collision is about \(8.0 \times {10^6}{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p2">(iii) <span class="Apple-converted-space"> </span>Show that the fractional change in energy of the neutron as a result of the collision</p>
<p class="p2">is about 0.3.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Estimate the minimum number of collisions required for the neutron to reduce its initial energy by a factor of \({10^6}\).</p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>Outline why the reduction in energy is necessary for this type of reactor to function.</p>
<div class="marks">[10]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">only non-renewable is depleted/cannot re-generate whereas renewable can / consumption rate of non-renewables is greater than formation rate and consumption rate of renewables is less than formation rate;</p>
<p class="p1"><em>Do not allow “cannot be used again”.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>volume released = \((22 \times {10^6} \times 6 = ){\text{ }}1.32 \times {10^8}{\text{ (}}{{\text{m}}^3}{\text{)}}\);</p>
<p class="p1">volume per second \(\frac{{1.32 \times {{10}^8}}}{{6 \times 3600}}{\text{ }}( = 6111{\text{ }}{{\text{m}}^3})\);</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>use of average depth for calculation (3 m);</p>
<p class="p1">gpe lost \(6100 \times 1000 \times 9.81 \times 3\);</p>
<p class="p1">0.18 (GW);</p>
<p class="p2"><span class="s1"><em>Accept </em></span><em>g = 10 m</em>\(\,\)<em>s<sup>–2</sup>.</em></p>
<p class="p1"><em>Award </em><strong><em>[1 max] </em></strong><em>if 6 m is used and an “average” is used at end of solution without mention of average depth.</em></p>
<p class="p1"><span class="s2">(iii) <span class="Apple-converted-space"> </span></span>converts/states output with units; } <em>(allow values quoted from question without unit)</em></p>
<p class="p1">converts/states input with units; } <em>(allow values quoted from question without unit)</em></p>
<p class="p1">calculates efficiency from \(\frac{{{\text{output}}}}{{{\text{input}}}}\) as 0.31;</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1"><em>eg</em>:</p>
<p class="p1">power output \(\frac{{5.4 \times {{10}^8}}}{{365 \times 24 \times 3600}}{\text{ }}\left( { = 17{\text{ kW}}\,{\text{h}}\,{{\text{s}}^{ - 1}}} \right)\);</p>
<p class="p1">\( = 17 \times 3600000 = 6.16 \times {10^7}{\text{ (W)}}\);</p>
<p class="p1">efficiency = \(\left( {\frac{{6.16 \times {{10}^7}}}{{2.0 \times {{10}^8}}} = } \right){\text{ }}31\% \)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)0.31;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">0.2 GW is \(1.752 \times {10^9}{\text{ (kW}}\,{\text{h}}\,{\text{yea}}{{\text{r}}^{ - 1}}{\text{)}}\);</p>
<p class="p1">\(\frac{{5.4 \times {{10}^8}}}{{1.752 \times {{10}^9}}}\);</p>
<p class="p2">efficiency \( = 0.31\);</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>cloud cover / weather conditions;</p>
<p class="p1">latitude;</p>
<p class="p1">time of year / season;</p>
<p class="p1">nature/colour of surface;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><span class="s1">(i) <span class="Apple-converted-space"> </span></span>(total) momentum unchanged before and after collision / momentum of a system is constant; } <em>(allow symbols if explained)</em></p>
<p class="p1">no external forces / isolated system / closed system;</p>
<p class="p1"><em>Do not accept “conserved”.</em></p>
<p class="p1"><span class="s1">(ii) <span class="Apple-converted-space"> </span></span>final momentum of neutron \( = {\text{neutron mass}} \times 9.8 \times {10^6} - 1{\text{u}} \times 12 \times 1.5 \times {10^6}\); } <em>(allow any appropriate and consistent mass unit)</em></p>
<p class="p1">final speed of neutron \( = 8.0\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(8.2 \times {10^6}{\text{ (m}}\,{{\text{s}}^{ - 1}}{\text{)}}\);</p>
<p class="p1">\(\left( { \approx {\text{8.0}} \times {\text{1}}{{\text{0}}^6}{\text{ (m}}\,{{\text{s}}^{ - 1}}{\text{)}}} \right)\)</p>
<p class="p1"><em>Allow use of 1 u for both masses giving an answer of 8.2 </em>\( \times \)<em> 10<sup>6</sup> (m</em>\(\,\)<em>s</em><span class="s2"><em><sup>–1</sup>).</em></span></p>
<p class="p1"><span class="s1">(iii) <span class="Apple-converted-space"> </span></span>initial energy of neutron \( = 8.04 \times {10^{ - 14}}{\text{ (J)}}\) <span style="text-decoration: underline;">and</span> final energy of neutron \( = 5.36 \times {10^{ - 14}}{\text{ (J)}}\); } <em>(both needed)</em></p>
<p class="p1">fractional change in energy \( = \left( {\frac{{(8.04 - 5.36)}}{{8.04}} = } \right){\text{ }}0.33\);</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">fractional change \( = \left( {\frac{{\frac{1}{2}mv_{\text{i}}^2 - \frac{1}{2}mu_{\text{f}}^2}}{{\frac{1}{2}mv_{\text{i}}^2}}} \right)\); }<em>(allow any algebra that shows a subtraction of initial term from final term divided by initial value)</em></p>
<p class="p1">\(\left( { = \frac{{{{(9.8 \times {{10}^6})}^2} - {{(8.0 \times {{10}^6})}^2}}}{{{{(9.8 \times {{10}^6})}^2}}}} \right)\)<em> (allow omission of 10<sup>6</sup>)</em></p>
<p class="p1">\( = 0.33\); <em>(allow 0.30 if 8.2 used)</em></p>
<p class="p1"><em>Do not allow ECF if there is no subtraction of energies in first marking point.</em></p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>\({(0.33)^n} = {10^{ - 6}}\);</p>
<p class="p1">\(n = 13\); <em>(allow n = 12 if 0.3 is used)</em></p>
<p class="p1">(v) <span class="Apple-converted-space"> </span>neutrons produced in fission have large energies;</p>
<p class="p1">greatest probability of (further) fission/absorption (when incident neutrons have thermal energy or low energy);</p>
<p class="p1"><em>Do not accept “reaction” for “fission reaction”.</em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many candidates continue to give weak responses to questions in which they are asked to compare renewable and non-renewable resources. Although the “it cannot be used again” answer has largely disappeared, many candidates still fail to appreciate that the issue is about the rate at which the resource can be replaced.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>This was often well done, although occasional recourse was made to inappropriate physics (see bii). Candidates should note that in questions where the final answer is quoted (typically “Show that …..” questions) candidates are strongly advised to quote answers to one more significant figure than in the question.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>The rare candidate who understood the physics here was able to give a clear account of the solution. Many failed to spot the factor of a half in the water level change and introduced a factor of two later and arbitrarily. Others completely misunderstood the (simple) nature of the problem and used a random equation from the data booklet (usually \(1/3\rho A{v^3}\)). This of course gained no marks. A simple initial diagram would have helped many to avoid errors.</p>
<p class="p1">(iii)<span class="Apple-converted-space"> </span>As in question 1 there were far too many candidates who clearly do not understand and have not practised the problem of converting between energy units. Effective use of units would have made this an easy calculation. Explanations were few and candidates were clearly struggling with this aspect of energy.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>Many candidates were able to give one coherent reason but two distinct answers were rare.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) As is often the case with this question, candidates state that “momentum is conserved” and fail to explain what this means. There was much confusion with energy conservation rules.</p>
<p class="p1">(ii) Calculations of the final speed of the neutron were confused with little or no explanation of the equations. It was often not clear what mass values (if any) were being used in the solution.</p>
<p class="p1">(iii) There were few clear solutions to this problem. Some candidates did not appreciate the meaning of fractional energy change and others were still travelling along the momentum route from an earlier part, scoring few, if any, marks.</p>
<p class="p1">(iv) Candidates had evidently not considered the mechanical issues of moderation in their learning. There was little recognition that the change in fractional energy is 0.33\(n\) where \(n\) is the number of collisions. The most frequent answer was that the change is 0.33\(n\).</p>
<p class="p1">(v) There was more clarity about the reasons for moderation but even so, answers were poorly expressed. Only a minority recognised that the probability of absorption is greatest at low neutron incident energy.</p>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about a lightning discharge. <strong>Part 2 </strong>is about fuel for heating.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 1 </strong>Lightning discharge</p>
</div>
<div class="specification">
<p class="p1">The magnitude of the electric field strength \(E\) between two infinite charged parallel plates is given by the expression</p>
<p class="p1">\[E = \frac{\sigma }{{{\varepsilon _0}}}\]</p>
<p class="p1">where \(\sigma \) is the charge per unit area on one of the plates.</p>
<p class="p1">A thundercloud carries a charge of magnitude 35 C spread over its base. The area of the base is \(1.2 \times {10^7}{\text{ }}{{\text{m}}^{\text{2}}}\).</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Fuel for heating</p>
</div>
<div class="specification">
<p class="p1">A room heater burns liquid fuel and the following data are available.</p>
<p class="p1">\[\begin{array}{*{20}{l}} {{\text{Density of liquid fuel}}}&{ = 8.0 \times {{10}^2}{\text{ kg}}\,{{\text{m}}^{ - 3}}} \\ {{\text{Energy produced by 1 }}{{\text{m}}^{\text{3}}}{\text{ of liquid fuel}}}&{ = 2.7 \times {{10}^{10}}{\text{ J}}} \\ {{\text{Rate at which fuel is consumed}}}&{ = 0.13{\text{ g}}\,{{\text{s}}^{ - 1}}} \\ {{\text{Latent heat of vaporization of the fuel}}}&{ = 290{\text{ kJ}}\,{\text{k}}{{\text{g}}^{ - 1}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A thundercloud can be modelled as a negatively charged plate that is parallel to the ground.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-10_om_07.24.35.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B2.Part1.b"></p>
<p class="p1">The magnitude of the charge on the plate increases due to processes in the atmosphere. Eventually a current discharges from the thundercloud to the ground.</p>
<p class="p1">On the diagram, draw the electric field pattern between the thundercloud base and the ground.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Determine the magnitude of the electric field between the base of the thundercloud and the ground.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>State <strong>two </strong>assumptions made in (c)(i).</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>When the thundercloud discharges, the average discharge current is 1.8 kA. Estimate the discharge time.</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>The potential difference between the thundercloud and the ground before discharge is \(2.5 \times {10^8}{\text{ V}}\). Determine the energy released in the discharge.</p>
<div class="marks">[12]</div>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define the <em>energy density </em>of a fuel.</p>
<div class="marks">[1]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>Use the data to calculate the power output of the room heater, ignoring the power required to convert the liquid fuel into a gas.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>Show why, in your calculation in (b)(i), the power required to convert the liquid fuel into a gas at its boiling point can be ignored.</p>
<div class="marks">[5]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">State, in terms of molecular structure and their motion, <strong>two </strong>differences between a liquid and a gas.</p>
<p class="p1">1.</p>
<p class="p1">2.</p>
<div class="marks">[2]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">force acting per unit charge;</p>
<p class="p1">on positive test / point charge;</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1"><img src="images/Schermafbeelding_2016-11-10_om_07.26.41.png" alt="N10/4/PHYSI/SP2/ENG/TZ0/B2.Part1.b/M"></p>
<p class="p1">lines connecting plate and ground equally spaced in the central region of thundercloud <span style="text-decoration: underline;">and</span> touching both plates; <em>(judge by eye)</em></p>
<p class="p1">edge effects shown; <em>(accept either edge effect A or B shown on diagram)</em></p>
<p class="p1">field direction correct;</p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\sigma = \left( {\frac{{35}}{{1.2 \times {{10}^7}}} = } \right){\text{ }}2.917 \times {10^{ - 6}}{\text{ (C}}\,{{\text{m}}^{ - 2}})\);</p>
<p>\(E = \frac{{2.917 \times {{10}^{ - 6}}}}{{8.85 \times {{10}^{ - 12}}}}\);</p>
<p>\( = 3.3 \times {10^5}{\text{ N}}\,{{\text{C}}^{ - 1}}\) <strong><em>or</em></strong> \({\text{V}}\,{{\text{m}}^{ - 1}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>edge of thundercloud parallel to ground;</p>
<p class="p1">thundercloud and ground effectively of infinite length;</p>
<p class="p1">permittivity of air same as vacuum;</p>
<p class="p1">(iii) <span class="Apple-converted-space"> </span>\(t = \frac{Q}{I}\);</p>
<p class="p1">\(t = \frac{{35}}{{1800}}\);</p>
<p class="p1">\( = 20{\text{ m}}\,{\text{s}}\);</p>
<p class="p1">(iv) <span class="Apple-converted-space"> </span>use of energy \( = {\text{p.d.}} \times {\text{charge}}\);</p>
<p class="p1">\({\text{average p.d.}} = 1.25 \times {10^8}{\text{ (V)}}\);</p>
<p class="p1">\({\text{energy released}} = 1.25 \times {10^8} \times 35\);</p>
<p class="p1">\( = 4.4 \times {10^9}{\text{ J}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3 max] </em></strong><em>for 8.8 GJ if average p.d. point omitted.</em></p>
<p class="p1"><em>Accept solution which uses average current </em>\(\left( {from \frac{{charge}}{{time}}} \right)\)<em>.</em></p>
<p class="p1"><em>Allow ecf from (c)(ii).</em></p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">energy (released) per unit mass;</p>
<p class="p1"><em>Accept per unit volume or per kg or per m</em><sup><span class="s1"><em>3</em></span></sup>.</p>
<p class="p1"><em>Do not accept per unit density.</em></p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>volume of fuel used per second \( = \frac{{{\text{rate}}}}{{{\text{density}}}}{\text{ }}\left( { = {\text{1.63}} \times {\text{1}}{{\text{0}}^{ - 7}}{\text{ (}}{{\text{m}}^{\text{3}}})} \right)\);</p>
<p class="p1">\({\text{energy}} = 2.7 \times {10^{10}} \times 1.63 \times {10^{ - 7}}\);</p>
<p class="p1">\( = (4.3875 = ){\text{ }}4.4{\text{ kW}}\);</p>
<p class="p1"><em>Award </em><strong><em>[3] </em></strong><em>for bald correct answer.</em></p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>power required \( = (2.9 \times {10^5} \times 0.13 \times {10^{ - 3}} = ){\text{ }}38{\text{ W}}\);</p>
<p class="p1">small fraction/less than 1% of overall power output / <em>OWTTE</em>;</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">sensible comment comparing molecular structure;</p>
<p class="p1"><em>e.g. liquid molecular structure (more) ordered than that of a gas.</em></p>
<p class="p1"><em>in gas molecules far apart/about 10 molecular spacings apart / in liquid molecules </em><em>close/touching.</em></p>
<p class="p1">sensible comment comparing motion of molecules;</p>
<p class="p1"><em>e.g. in liquid: molecules interchange places with neighbouring molecules / no long</em><br><em>distance motion.</em><br><em>in gases: no long-range order / long distance motion.</em></p>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many omitted the reference to a test charge that is positive.</p>
<div class="question_part_label">Part1.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Common errors were to draw the field lines in the wrong direction, to omit edge effects, and to fail to draw field lines that touch the plates.</p>
<div class="question_part_label">Part1.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) This part was well done.</p>
<p class="p1">(ii) Most candidates could only identify one assumption made in the calculation.</p>
<p class="p1">(iii) The estimation of discharge time was well done.</p>
<p class="p1">(iv) There was a general failure to recognise that the average pd during the discharge is half the maximum (starting) value and this lost a mark.</p>
<div class="question_part_label">Part1.c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A handful of candidates defined energy density as energy converted per unit density, but most gave energy released per unit mass with a minority quoting energy released per unit volume.</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) Again, this was done well by the majority with the usual smattering of significant figure penalties and mistakes in handling powers of ten.</p>
<p class="p1">(ii) Arguments were weak and poorly supported by calculation.</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Candidates found great difficulty in stating the differences between liquids and gases. They often focused on either molecular structure or motion, but not both as required in the question.</p>
<div class="question_part_label">Part2.c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Melting of the Pobeda ice island</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Pobeda ice island forms regularly when icebergs run aground near the Antarctic ice shelf. The “island”, which consists of a slab of pure ice, breaks apart and melts over a period of decades. The following data are available.</p>
<p style="padding-left: 30px;">Typical dimensions of surface of island = 70 km × 35 km<br>Typical height of island = 240 m<br>Average temperature of the island = –35°C<br>Density of sea ice = 920 kg m<sup>–3</sup><br>Specific latent heat of fusion of ice = 3.3×10<sup>5</sup>J kg<sup>–1</sup><br>Specific heat capacity of ice = 2.1×10\(^3\)J kg<sup>–1</sup>K<sup>–1</sup></p>
<p>(i) Distinguish, with reference to molecular motion and energy, between solid ice and liquid water.</p>
<p>(ii) Show that the energy required to melt the island to form water at 0°C is about 2×10<sup>20</sup>J. Assume that the top and bottom surfaces of the island are flat and that it has vertical sides.</p>
<p>(iii) The Sun supplies thermal energy at an average rate of 450 W m<sup>–2</sup> to the surface of the island. The albedo of melting ice is 0.80. Determine an estimate of the time taken to melt the island assuming that the melted water is removed immediately and that no heat is lost to the surroundings.</p>
<div class="marks">[8]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest the likely effect on the average albedo of the region in which the island was floating as a result of the melting of the Pobeda ice island.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) in water, molecules are able to move relative to other molecules, less movement possible in ice / in water, vibration and translation of molecules possible, in ice only vibration;<br>in liquid there is sufficient energy/vibration (from latent heat) to break and re-form inter-molecular bonds;</p>
<p>(ii) mass of ice=70000×35000×240×920(=5.4×10<sup>14</sup>kg);<br>energy to raise ice temperature to 0°C=5.4×10<sup>14</sup>×2.1×10<sup>3</sup>×35(= 3.98×10<sup>19</sup>J);<br>energy to melt ice=5.4×10<sup>14</sup>×3.3×10<sup>5</sup>(=1.8×10<sup>20</sup>J);<br>total= 2.2×10<sup>20</sup>J</p>
<p>(iii) energy incident=450×70000×35000(=1.1×10<sup>12</sup>Js<sup>–1</sup>m<sup>−2</sup>);<br>energy available for melting=1.1×10<sup>12</sup>×0.2(=2.2×10<sup>11</sup>J);<br>time \( = \left( {\frac{{2.2 \times {{10}^{20}}}}{{2.2 \times {{10}^{11}}}} = } \right)9.9 \times {10^8}{\rm{s}}\) <em><strong>or</strong></em> 32 years;</p>
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<p>average albedo of ocean much smaller than (snow and) ice;<br>so average albedo (of Earth) is reduced;</p>
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[N/A]
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[N/A]
<div class="question_part_label">b.</div>
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<p>In an experiment to determine the specific latent heat of fusion of ice, an ice cube is dropped into water that is contained in a well-insulated calorimeter of negligible specific heat capacity. The following data are available.</p>
<p style="padding-left: 30px;">Mass of ice cube = 25g<br>Mass of water = 350g<br>Initial temperature of ice cube = 0˚C<br>Initial temperature of water = 18˚C<br>Final temperature of water = 12˚C<br>Specific heat capacity of water = 4200Jkg<sup>−1</sup>K<sup>−1</sup></p>
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<p>Using the data, estimate the specific latent heat of fusion of ice.</p>
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<p>The experiment is repeated using the same mass of crushed ice.</p>
<p>Suggest the effect, if any, of crushing the ice on</p>
<p>(i) the final temperature of the water.</p>
<p>(ii) the time it takes the water to reach its final temperature.</p>
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<p>use of <em>m</em>×<em>c</em>×<em>θ</em> with correct substitution for either original water or water from melted ice</p>
<p>energy available to melt ice = «8820 – 1260 =» 7560 J</p>
<p>equates 7560 to mL</p>
<p>3.02×10<sup>5</sup>Jkg<sup>–1</sup></p>
<p><strong><em>FOR EXAMPLE</em></strong><br>0.35 × 4200 × (18 – 12) <em><strong>OR</strong></em> 0.025 × 4200 × 12 <br>7560 J <br><em>L</em>=\(\frac{7560}{0.025}\)<br>3.02×10<sup>5</sup>Jkg<sup>–1</sup></p>
<p><em>Award <strong>[3 max]</strong> if energy to warm melted ice as water is ignored (350kJkg<sup>–1</sup>).</em></p>
<p><em>Allow ECF in MP3.</em></p>
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<p>(i)<br>no change in temperature/no effect, the energies exchanged are the same</p>
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<p>(ii)<br>the time will be less/ice melts faster, because surface area is greater <em><strong>or</strong></em> crushed ice has more contact with water</p>
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[N/A]
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[N/A]
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<p><strong>Part 2</strong> Internal energy</p>
<p>Humans generate internal energy when moving, while their core temperature remains approximately constant.</p>
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<p>Distinguish between the concepts of internal energy and temperature.</p>
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<p>An athlete loses 1.8 kg of water from her body through sweating during a training session that lasts one hour.</p>
<p>Estimate the rate of energy loss by the athlete due to sweating. The specific latent heat of evaporation of water is 2.3×10<sup>6 </sup>J kg<sup>–1</sup>.</p>
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<p><em>internal energy:</em><br>total energy of component particles (in the human);<br>comprises potential energy + (random) kinetic energy;</p>
<p><em>temperature: </em><br>measure of average kinetic energy of particles;<br>indicates direction of (natural) flow of thermal energy;<br>internal energy measured in J and temperature measured<br>in K/°C ; <em>(both needed)</em><br><em>(accept alternative suitable units) <br></em></p>
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<p>total energy lost=2.3×10<sup>6</sup>×1.8(=4.14×10<sup>6</sup>J);<br>1.2 kW;</p>
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[N/A]
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[N/A]
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<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about ideal gases and specific heat capacity. <strong>Part 2</strong> is about simple harmonic motion and waves.</p>
<p><strong>Part 1</strong> Ideal gases and specific heat capacity</p>
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<p>State <strong>two</strong> assumptions of the kinetic model of an ideal gas.</p>
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<p>Argon behaves as an ideal gas for a large range of temperatures and pressures. One mole of argon is confined in a cylinder by a freely moving piston.</p>
<p>(i) Define what is meant by the term <em>one mole of argon</em>.</p>
<p>(ii) The temperature of the argon is 300 K. The piston is fixed and the argon is heated at constant volume such that its internal energy increases by 620 J. The temperature of the argon is now 350 K.</p>
<p>Determine the specific heat capacity of argon in J kg<sup>–1 </sup>K<sup>–1</sup> under the condition of constant volume. (The molecular weight of argon is 40)</p>
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<p>At the temperature of 350 K, the piston in (b) is now freed and the argon expands until its temperature reaches 300 K.</p>
<p>Explain, in terms of the molecular model of an ideal gas, why the temperature of argon decreases on expansion.</p>
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<p>point molecules / negligible volume;<br>no forces between molecules except during contact;<br>motion/distribution is random;<br>elastic collisions / no energy lost;<br>obey Newton’s laws of motion;<br>collision in zero time;<br>gravity is ignored;</p>
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<p>(i) the molecular weight of argon in grams / 6.02×10<sup>23</sup> argon<br>atoms / same number of particles as in 12 g of C-12;<br><em>(allow atoms or molecules for particles)</em></p>
<p>(ii) mass of gas = 0.040kg ;<br>specific heat = \(\frac{Q}{{m\Delta T}}\)<em> <strong>or</strong></em> 620 = 0.04×<em>c</em>×50;<br><em>(i.e. correctly aligns substitution with equation)</em><br>\( = \left( {\frac{{620}}{{0.040 \times 50}} = } \right)310{\rm{Jk}}{{\rm{g}}^{{\rm{ - 1}}}}{{\rm{K}}^{{\rm{ - 1}}}}\);<br><br></p>
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<p>temperature is a measure of the average kinetic energy of the molecules;<br><em>(must see “average kinetic” for the mark)</em></p>
<p>energy/momentum to move piston is provided by energy/momentum of molecules that collide with it;<br>the (average) kinetic energy of the gas therefore decreases; <br><em>Do not allow arguments in terms of loss of speed as a result of collision with a moving piston.</em></p>
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<p>Many could only give one sensible assumption of the ideal gas kinetic model. It was very common to see the bald statement that there are no interatomic forces between the molecules. Candidates failed to give the proviso that this is not true during the collisions between molecules and with the walls of the container. Some candidates tried unsuccessfully to convince examiners that the empirical gas laws are in themselves assumptions.</p>
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<p>(i) Many could either define the mole of argon in terms of 12 g of carbon-12 or in terms of a correctly stated Avogadro number. Either was acceptable if clear.</p>
<p>(ii) Although almost all were able to identify the starting point for the calculation of the specific heat capacity of argon, a very common error was to forget that the molar mass is quoted in grams not kilograms. It was therefore common to see answers that were 1000 times too small.</p>
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<p>Explanations for the decrease in temperature of the gas on expansion were weak. The key to the explanation is that, at the molecular level, temperature is a measure of the average kinetic energy of the particles. This was often missing from the answers..</p>
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<p>This question is about thermal energy transfer.</p>
<p>A hot piece of iron is placed into a container of cold water. After a time the iron and water reach thermal equilibrium. The heat capacity of the container is negligible.</p>
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<p>Define <em>specific heat capacity.</em></p>
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<div class="question_part_label">a.</div>
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<p>The following data are available.</p>
<p style="padding-left: 30px;">Mass of water = 0.35 kg<br>Mass of iron = 0.58 kg<br>Specific heat capacity of water = 4200 J kg<sup>–1</sup>K<sup>–1</sup><br>Initial temperature of water = 20°C<br>Final temperature of water = 44°C<br>Initial temperature of iron = 180°C</p>
<p>(i) Determine the specific heat capacity of iron.</p>
<p>(ii) Explain why the value calculated in (b)(i) is likely to be different from the accepted value.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>the energy required to change the temperature (of a substance) by 1K/°C/unit degree;<br>of mass 1 kg / per unit mass;</p>
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<p>(i) use of <em>mcΔT</em>;<br>0.58×<em>c</em>×[180-44]=0.35×4200×[44-20];<br><em>c</em>=447Jkg<sup>-1</sup>K<sup>-1</sup>≈450Jkg<sup>-1</sup>K<sup>-1</sup>;</p>
<p>(ii) energy would be given off to surroundings/environment / energy would be absorbed by container / energy would be given off through vaporization of water;<br>hence final temperature would be less;<br>hence measured value of (specific) heat capacity (of iron) would be higher;</p>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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[N/A]
<div class="question_part_label">a.</div>
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[N/A]
<div class="question_part_label">b.</div>
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<p>Define <em>internal energy.</em></p>
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<div class="question_part_label">a.</div>
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<p>0.46 mole of an ideal monatomic gas is trapped in a cylinder. The gas has a volume of 21 m<sup>3</sup> and a pressure of 1.4 Pa.</p>
<p>(i) State how the internal energy of an ideal gas differs from that of a real gas.</p>
<p>(ii) Determine, in kelvin, the temperature of the gas in the cylinder.</p>
<p>(iii) The kinetic theory of ideal gases is one example of a scientific model. Identify <strong>one</strong> reason why scientists find such models useful.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>mention <span class="pg-7ls4 pg-7ws4">of </span>atoms/molecules/particles</p>
<p>sum/total of kinetic energy and «mutual/intermolecular» potential energy</p>
<p><em>Do not allow “kinetic energy and potential energy” bald.<br>Do not allow “sum of average ke and pe” unless clearly referring to total ensemble.</em></p>
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<p>i<br>«intermolecular» potential energy/PE of an ideal gas is zero/negligible</p>
<p><br>ii<br><strong>THIS IS FOR USE WITH AN ENGLISH SCRIPT ONLY</strong><br>use of \(T = \frac{{PV}}{{nR}}\) <em><strong>or</strong></em> \(T = \frac{{1.4 \times 21}}{{0.46 \times 8.31}}\)</p>
<p><em>Award mark for correct re-arrangement as shown here not for quotation of Data Booklet version.</em><br><em>Award <strong>[2]</strong> for a bald correct answer in K.</em><br><em>Award <strong>[2 max]</strong> if correct 7.7 K seen followed by –265°C and mark BOD. However, if only –265°C seen, award <strong>[1 max]</strong>.</em><br><br>7.7 K<br><em>Do not penalise use of “°K”</em></p>
<p>ii<br><strong>THIS IS FOR USE WITH A SPANISH SCRIPT ONLY</strong><br>\(T = \frac{{PV}}{{nR}}\)</p>
<p><br>\(T = \frac{{1.4 \times 2.1 \times {{10}^{ - 6}}}}{{0.46 \times 8.31}}\)</p>
<p>T = 7.7 ×10<sup>-6</sup> K<br><em>Award mark for correct re-arrangement as shown here not for quotation of Data Booklet version.</em><br><em>Uses correct unit conversion for volume</em><br><em>Award <strong>[2]</strong> for a bald correct answer in K. Finds solution. Allow an ECF from MP2 if unit not converted, ie candidate uses 21 m3 and obtains 7.7 K</em><br><em>Do not penalise use of “°K”</em></p>
<p> </p>
<p>iii<br>models used to predict/hypothesize</p>
<p>explain</p>
<p>simulate</p>
<p>simplify/approximate <br><em>Allow similar responses which have equivalent meanings. Response needs to identify <strong>one</strong> reason.</em></p>
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[N/A]
<div class="question_part_label">a.</div>
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[N/A]
<div class="question_part_label">b.</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about internal energy and thermal energy (heat). </span></p>
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<p>Distinguish between internal energy and thermal energy.</p>
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<p>Describe, with reference to the energy of the molecules, the difference in internal energy of a piece of iron and the internal energy of an ideal gas.</p>
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<p>A piece of iron is placed in a kiln until it reaches the temperature <em>θ</em> of the kiln. The iron is then quickly transferred to water held in a thermally insulated container. The water is stirred until it reaches a steady temperature. The following data are available.</p>
<p style="padding-left: 60px;">Thermal capacity of the piece of iron = 60JK<sup>–1<br></sup>Thermal capacity of the water = 2.0×10<sup>3</sup>JK<sup>–1<br></sup>Initial temperature of the water = 16°C<br>Final temperature of the water = 45°C</p>
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<p>The thermal capacity of the container and insulation is negligible.</p>
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<div class="column">(i) State an expression, in terms of <em>θ</em> and the above data, for the energy transfer of the iron in cooling from the temperature of the kiln to the final temperature of the water.</div>
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<div class="column">(ii) Calculate the increase in internal energy of the water as the iron cools in the water.</div>
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<div class="column">(iii) Use your answers to (c)(i) and (c)(ii) to determine <em>θ</em>.</div>
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<div class="question_part_label">c.</div>
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<p>internal energy is the total kinetic and potential energy <span style="text-decoration: underline;">of the molecules</span> of a body;<br>thermal energy is a (net) amount of energy transferred between two bodies;<br>at different temperatures;</p>
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<p>the internal energy of the iron is equal to the total KE plus PE of the molecules; the molecules of an ideal gas have only KE so internal energy is the total KE of the molecules;</p>
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<p>(i) 60×[<em>θ</em>−45];</p>
(ii) (2.0×10<sup>3</sup>×29)=5.8×10<sup>4</sup>J;</div>
<div class="column"><br>(iii) 60×[<em>θ</em>−45]=5.8×10<sup>4</sup>;<br><em>θ</em>=1000°C; (<em>allow 1010°C to 3 sig fig</em>)</div>
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<div class="column">Few could repeat the Subject Guide definition of internal energy and relate it to that of the molecules or atoms of the substance under discussion. Understanding of thermal energy was very limited with a widespread failure to describe it in terms of transferred energy. Candidates evidently struggle with this concept.</div>
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<div class="column">The distinction between internal energy of a solid and an ideal gas is not well understood by candidates. The emphasis is on the word “ideal” where no potential energy issues arise. Candidates were poor in their descriptions and explanations.</div>
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<div class="column">The three sub-sections of this question led towards a determination of the final energy when iron at high temperature is added to cold water in a container. There was confusion over both units and ideas. In (i) both K and °C appeared, in (ii) many answers of 29°C were presented for the increase in the internal energy of the water, and in (iii) there were further errors in temperature units and significant errors. Only about half the candidates were able to work towards a full answer in (iii).</div>
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<div class="question_part_label">c.</div>
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<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Thermal concepts</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between internal energy and thermal energy (heat).</p>
<p>Internal energy:</p>
<p>Thermal energy:</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A 300 W immersion heater is placed in a beaker containing 0.25 kg of water at a temperature of 18°C. The heater is switched on for 120 s, after which time the temperature of the water is 45°C. The thermal capacity of the beaker is negligible and the specific heat capacity of water is 4.2×10<sup>3</sup>J kg<sup>–1</sup>K<sup>–1</sup>.</p>
<p>(i) Estimate the change in internal energy of the water.</p>
<p>(ii) Determine the rate at which thermal energy is transferred from the water to the surroundings during the time that the heater is switched on.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The water in (b) is further heated until it starts to boil at constant temperature. It is boiled for 500s measured from the time that it first starts to boil. The mass of water remaining after this time is 0.20kg.</p>
<p>(i) Estimate, using the answer to (b)(ii), the specific latent heat of vaporization of the water.</p>
<p>(ii) Explain, in terms of the energy of the molecules of the water, why the water boils at constant temperature.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>internal energy: </em></p>
<p>the sum of the potential and the (random) kinetic energy of the molecules/particles of a substance;</p>
<p><em> Allow “potential and kinetic” for “sum”. </em></p>
<p><em>thermal energy:</em></p>
<p>the (non-mechanical) transfer of energy between two different bodies as a result of a temperature difference between them;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) (ΔU)=0.25×4.2×10<sup>3</sup>×27(=2.835×10<sup>4</sup>J);<br>=2.8×10<sup>4</sup>(J);<br><em>Award <strong>[2]</strong> for a bald correct final answer of 28 (kJ)<br>Award <strong>[1 max]</strong> if correct energy calculated but the answer goes on to work out a further quantity, for example power. </em></p>
<p>(ii) energy transfer=[300×120] – [2.835×10<sup>4</sup>]=7.65×10<sup>3</sup> (J);<br>rate of transfer=\(\frac{{7.650 \times {{10}^3}}}{{120}} = 64\left( {\rm{W}} \right)\);<br><em>Allow ECF from (b)(i). </em></p>
<p><em>Award <strong>[1 max]</strong> for \(\frac{{(b)(i)answer}}{{120}}\) where answer omits 300×120 term, however only allow this if 120 is seen. Award <strong>[0]</strong> for other numerators and denominators. <br>Accept rounded value from (b)(i) to give 67 (W). </em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) total energy supplied to water=(500×300–500×64=)1.18×10<sup>5</sup>(J) ;</p>
<p>specific latent heat\( = \left( {\frac{Q}{m} = \frac{{1.18 \times {{10}^5}}}{{0.05}} = } \right)2.4 \times {10^6}{\rm{Jk}}{{\rm{g}}^{ - 1}}\);</p>
<p><em>Award <strong>[1 max]</strong> for</em> \(\frac{{500 \times {\rm{answer to (b)(ii)}}}}{{0.05}}\).</p>
<p>(ii) all the thermal energy is used to separate the molecules/break the bonds between molecules; and not to increase their (average) kinetic energy; average kinetic energy is a measure of the temperature (of the water);</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>There was a widespread failure to respond to the command term. “Distinguish” implies some type of comparison but often candidates simply gave definitions (which could in this mark scheme attract full credit). However, only a few received two marks. Explanations of the meaning for thermal energy were weak and usually failed to make clear the need for a temperature difference in the transfer of the energy.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) Many were able to access both marks, but some lost credit by then inserting an extra final step and going part way to the solution to (ii). As these candidates did not fully understand what was meant by “change in internal energy” they could not achieve full marks for this part question.</p>
<p>(ii) This part question was more poorly done than (i). Incorrect solutions included: failures to subtract the 28 kJ arrived at in (b)(i), and incorrect arithmetic.</p>
<div class="question_part_label">b.</div>
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<div class="question" style="padding-left: 20px;">
<p>(i) This was poorly done with most candidates unable to calculate the mass of water that had been vaporized.</p>
<p>(ii) The part question invites the candidates to consider the energy of the molecules and to link this to the constant temperature of the boiling water. Responses were mostly unfocussed with few candidates able to put forward a logical or clearly articulated explanation.</p>
<div class="question_part_label">c.</div>
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<br><hr><br><div class="specification">
<p>The diagram below shows part of a downhill ski course which starts at point A, 50 m above level ground. Point B is 20 m above level ground.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>A skier of mass 65 kg starts from rest at point A and during the ski course some of the gravitational potential energy transferred to kinetic energy.</p>
</div>
<div class="specification">
<p>At the side of the course flexible safety nets are used. Another skier of mass 76 kg falls normally into the safety net with speed 9.6 m s<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>From A to B, 24 % of the gravitational potential energy transferred to kinetic energy. Show that the velocity at B is 12 m s<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Some of the gravitational potential energy transferred into internal energy of the skis, slightly increasing their temperature. Distinguish between internal energy and temperature.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The dot on the following diagram represents the skier as she passes point B.<br>Draw and label the vertical forces acting on the skier.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The hill at point B has a circular shape with a radius of 20 m. Determine whether the skier will lose contact with the ground at point B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The skier reaches point C with a speed of 8.2 m s<sup>–1</sup>. She stops after a distance of 24 m at point D.</p>
<p>Determine the coefficient of dynamic friction between the base of the skis and the snow. Assume that the frictional force is constant and that air resistance can be neglected.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the impulse required from the net to stop the skier and state an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, with reference to change in momentum, why a flexible safety net is less likely to harm the skier than a rigid barrier.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{1}{2}{v^2} = 0.24\,{\text{gh}}\)</p>
<p>\(v = 11.9\) «m s<sup>–1</sup>»</p>
<p> </p>
<p><em>Award GPE lost = 65 × 9.81 × 30 = «19130 J»</em></p>
<p><em>Must see the 11.9 value for MP2, not simply 12.</em></p>
<p><em>Allow g = 9.8 ms<sup>–2</sup>.</em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>internal energy is the total KE «and PE» of the molecules/particles/atoms in an object</p>
<p>temperature is a measure of the average KE of the molecules/particles/atoms</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> if there is no mention of molecules/particles/atoms.</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>arrow vertically downwards from dot labelled weight/W/mg/gravitational force/F<sub>g</sub>/F<sub>gravitational</sub> <strong><em>AND</em></strong> arrow vertically upwards from dot labelled reaction force/R/normal contact force/N/F<sub>N</sub></p>
<p>W > R</p>
<p> </p>
<p><em>Do not allow gravity.</em><br><em>Do not award MP1 if additional ‘centripetal’ force arrow is added.</em><br><em>Arrows must connect to dot.</em><br><em>Ignore any horizontal arrow labelled friction.</em><br><em>Judge by eye for MP2. Arrows do not have to be correctly labelled or connect to dot for MP2.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em><br>recognition that centripetal force is required / \(\frac{{m{v^2}}}{r}\) seen</p>
<p>= 468 «N»</p>
<p>W/640 N (weight) is larger than the centripetal force required, so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>recognition that centripetal acceleration is required / \(\frac{{{v^2}}}{r}\) seen</p>
<p>a = 7.2 «ms<sup>–2</sup>»</p>
<p><em>g</em> is larger than the centripetal acceleration required, so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 3</strong></em></p>
<p>recognition that to lose contact with the ground centripetal force ≥ weight</p>
<p>calculation that v ≥ 14 «ms<sup>–1</sup>»</p>
<p>comment that 12 «ms<sup>–1</sup>» is less than 14 «ms<sup>–1</sup>» so the skier does not lose contact with the ground</p>
<p> </p>
<p><em><strong>ALTERNATIVE 4</strong></em></p>
<p>recognition that centripetal force is required / \(\frac{{m{v^2}}}{r}\) seen</p>
<p>calculation that reaction force = 172 «N»</p>
<p>reaction force > 0 so the skier does not lose contact with the ground</p>
<p> </p>
<p> </p>
<p><em>Do not award a mark for the bald statement that the skier does not lose contact with the ground.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em><br>0 = 8.2<sup>2 </sup>+ 2 × <em>a</em> × 24 therefore <em>a</em> = «−»1.40 «m s<sup>−2</sup>»</p>
<p>friction force = <em>ma </em>= 65 × 1.4 = 91 «N»</p>
<p>coefficient of friction = \(\frac{{91}}{{65 \times 9.81}}\) = 0.14</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em><br><em>KE</em> = \(\frac{1}{2}\)<em>mv</em><sup>2</sup> = 0.5 x 65 x 8.2<sup>2</sup> = 2185 «J»</p>
<p>friction force = KE/distance = 2185/24 = 91 «N»</p>
<p>coefficient of friction = \(\frac{{91}}{{65 \times 9.81}}\) = 0.14</p>
<p> </p>
<p><em>Allow ECF from MP1.</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«76 × 9.6»= 730<br>Ns <em><strong>OR</strong></em> kg ms<sup>–1</sup></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>safety net extends stopping time</p>
<p><em>F</em> = \(\frac{{\Delta p}}{{\Delta t}}\) therefore <em>F</em> is smaller «with safety net»</p>
<p><em><strong>OR</strong></em></p>
<p>force is proportional to rate of change of momentum therefore <em>F</em> is smaller «with safety net»</p>
<p> </p>
<p><em>Accept reverse argument.</em></p>
<div class="question_part_label">d.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The first scientists to identify alpha particles by a direct method were Rutherford and Royds. They knew that radium-226 (\({}_{86}^{226}{\text{Ra}}\)) decays by alpha emission to form a nuclide known as radon (Rn).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the missing values in the nuclear equation for this decay.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Rutherford and Royds put some pure radium-226 in a small closed cylinder A. Cylinder A is fixed in the centre of a larger closed cylinder B.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>At the start of the experiment all the air was removed from cylinder B. The alpha particles combined with electrons as they moved through the wall of cylinder A to form helium gas in cylinder B.</p>
<p>The wall of cylinder A is made from glass. Outline why this glass wall had to be very thin.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Rutherford and Royds expected 2.7 x 10<sup>15</sup> alpha particles to be emitted during the experiment. The experiment was carried out at a temperature of 18 °C. The volume of cylinder B was 1.3 x 10<sup>–5</sup> m<sup>3</sup> and the volume of cylinder A was negligible. Calculate the pressure of the helium gas that was collected in cylinder B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Rutherford and Royds identified the helium gas in cylinder B by observing its emission spectrum. Outline, with reference to atomic energy levels, how an emission spectrum is formed.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The work was first reported in a peer-reviewed scientific journal. Outline why Rutherford and Royds chose to publish their work in this way.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>222 <em><strong>AND</strong> </em>4</p>
<p> </p>
<p><em>Both needed.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>alpha particles highly ionizing<br><em><strong>OR</strong></em><br>alpha particles have a low penetration power<br><em><strong>OR</strong></em><br>thin glass increases probability of alpha crossing glass<br><em><strong>OR</strong></em><br>decreases probability of alpha striking atom/nucleus/molecule</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>conversion of temperature to 291 K</p>
<p><em>p</em> = 4.5 x 10<sup>–9</sup> x 8.31 x «\(\frac{{2.91}}{{1.3 \times {{10}^{ - 5}}}}\)»</p>
<p><em><strong>OR</strong></em></p>
<p><em>p</em> = 2.7 x 10<sup>15</sup> x 1.38 x 10<sup>–23</sup> x «\(\frac{{2.91}}{{1.3 \times {{10}^{ - 5}}}}\)»</p>
<p>0.83 or 0.84 «Pa»</p>
<p> </p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electron/atom drops from high energy state/level to low state</p>
<p>energy levels are discrete</p>
<p>wavelength/frequency of photon is related to energy change <em><strong>or</strong> </em>quotes <em>E</em> = <em>hf <strong>or</strong> E</em> = \(\frac{{hc}}{\lambda }\)</p>
<p>and is therefore also discrete</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>peer review guarantees the validity of the work<br><em><strong>OR</strong></em><br>means that readers have confidence in the validity of work</p>
<p> </p>
<p><em>OWTTE</em></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A large cube is formed from ice. A light ray is incident from a vacuum at an angle of 46˚ to the normal on one surface of the cube. The light ray is parallel to the plane of one of the sides of the cube. The angle of refraction inside the cube is 33˚.</p>
<p><img 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"></p>
</div>
<div class="specification">
<p>Each side of the ice cube is 0.75 m in length. The initial temperature of the ice cube is –20 °C.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of light inside the ice cube.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that no light emerges from side AB.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the diagram, the subsequent path of the light ray.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the energy required to melt all of the ice from –20 °C to water at a temperature of 0 °C.</p>
<p style="padding-left: 120px;">Specific latent heat of fusion of ice = 330 kJ kg<sup>–1</sup><br>Specific heat capacity of ice = 2.1 kJ kg<sup>–1</sup> k<sup>–1</sup><br>Density of ice = 920 kg m<sup>–3</sup></p>
<div class="marks">[4]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the difference between the molecular structure of a solid and a liquid.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«<em>v</em> = <em>c</em>\(\frac{{{\text{sin }}i}}{{{\text{sin }}r}}\) =» \(\frac{{3 \times {{10}^8} \times {\text{sin}}\left( {33} \right)}}{{{\text{sin}}\left( {46} \right)}}\)</p>
<p>2.3 x 10<sup>8</sup> «m s<sup>–1</sup>»</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>light strikes AB at an angle of 57°</p>
<p>critical angle is «sin<sup>–1</sup>\(\left( {\frac{{2.3}}{3}} \right)\) =» 50.1°</p>
<p><em>49.2° from unrounded value</em></p>
<p>angle of incidence is greater than critical angle so total internal reflection</p>
<p><strong><em>OR</em></strong></p>
<p>light strikes AB at an angle of 57°</p>
<p>calculation showing sin of “refracted angle” = 1.1</p>
<p>statement that since 1.1>1 the angle does not exist and the light does not emerge</p>
<p><strong><em>[Max 3 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>total internal reflection shown</p>
<p>ray emerges at opposite face to incidence</p>
<p><em>Judge angle of incidence=angle of reflection by eye or accept correctly labelled angles</em></p>
<p><em>With sensible refraction in correct direction</em></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>mass = «<em>volume</em> x <em>density</em>» (0.75)<sup>3</sup> x 920 «= 388 kg»</p>
<p>energy required to raise temperature = 388 x 2100 x 20 «= 1.63 x 10<sup>7</sup> J»</p>
<p>energy required to melt = 388 x 330 x 10<sup>3</sup> «= 1.28 x 10<sup>8</sup> J»</p>
<p>1.4 x 10<sup>8</sup> «J» <em><strong>OR</strong> </em>1.4 x 10<sup>5</sup> «kJ»</p>
<p><em>Accept any consistent units </em></p>
<p><em>Award <strong>[3 max]</strong> for answer which uses density as 1000 kg<sup>–3</sup> (1.5× 10<sup>8</sup> «J»)</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>in solid state, nearest neighbour molecules cannot exchange places/have fixed positions/are closer to each other/have regular pattern/have stronger forces of attraction</p>
<p>in liquid, bonds between molecules can be broken and re-form</p>
<p><em>OWTTE</em></p>
<p><em>Accept converse argument for liquids</em></p>
<p><strong><em>[Max 1 Mark]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about mechanics and thermal physics. <strong>Part 2</strong> is about nuclear physics.</p>
<p><strong>Part 1</strong> Mechanics and thermal physics</p>
<p>The graph shows the variation with time <em>t</em> of the speed <em>v</em> of a ball of mass 0.50 kg, that has been released from rest above the Earth’s surface.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The force of air resistance is <strong>not</strong> negligible. Assume that the acceleration of free fall is <em>g</em> = 9.81ms<sup>−2</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State, without any calculations, how the graph could be used to determine the distance fallen.</p>
<p style="text-align: left;"> </p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) In the space below, draw and label arrows to represent the forces on the ball at 2.0 s.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">(ii) Use the graph opposite to show that the acceleration of the ball at 2.0 s is approximately 4 ms<sup>−2</sup>.</p>
<p style="text-align: left;">(iii) Calculate the magnitude of the force of air resistance on the ball at 2.0 s.</p>
<p style="text-align: left;">(iv) State and explain whether the air resistance on the ball at <em>t</em> = 5.0 s is smaller than, equal to <strong>or</strong> greater than the air resistance at <em>t</em> = 2.0 s.</p>
<p style="text-align: left;"> </p>
<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After 10 s the ball has fallen 190 m.</p>
<p>(i) Show that the sum of the potential and kinetic energies of the ball has decreased by 780 J.</p>
<p>(ii) The specific heat capacity of the ball is 480 J kg<sup>−1</sup> K<sup>−1</sup>. Estimate the increase in the temperature of the ball.</p>
<p>(iii) State an assumption made in the estimate in (c)(ii).</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the area under the curve;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) arrows as shown, with up arrow shorter;</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) drawing of tangent to curve at <em>t</em> = 2.0 s;<br>calculation of slope of tangent in range 3.6 − 4.4ms<sup>−2</sup> ; <br><em>Award <strong>[0]</strong> for calculations without a tangent but do not be particular about size of triangle.</em></p>
<p>(iii) calculation of F = ma = 0.50 × 4 = 2N<br><em>R</em>(= <em>mg</em> −<em>ma</em> = 0.50×9.81− 0.50× 4) ≈ 3N;</p>
<p>(iv) the acceleration is decreasing;<br>and so <em>R</em> is greater;<br><em><strong>or</strong></em><br>air resistance forces increase with speed;<br>since speed at 5.0 s is greater so is resistance force;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) loss of potential energy is <em>mg</em>Δ<em>h</em>=0.50×9.81×190=932J;<br>gain in kinetic energy is \(\frac{1}{2}m{v^2} = \frac{1}{2}0.50 \times {25^2} = 156{\rm{J}}\);<br>loss of mechanical energy is 932–156;<br>≈780J</p>
<p>(ii) <em>mc</em>Δ<em>θ</em>=780J;<br>\(\Delta \theta = \left( {\frac{{780}}{{0.5 \times 480}}} \right) \approx 3{\rm{K}}/{3^ \circ }{\rm{C}}\);<br> <br>(iii) all the lost energy went into heating just the ball / no energy transferred to surroundings / the ball was heated uniformly;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about electric fields and radioactive decay. <strong>Part 2</strong> is about change of phase.</p>
<p><strong>Part 1</strong> Electric fields and radioactive decay</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Change of phase</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Define <em>electric field strength</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A simple model of the proton is that of a sphere of radius 1.0×10<sup>–15</sup>m with charge concentrated at the centre of the sphere. Estimate the magnitude of the field strength at the surface of the proton.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Protons travelling with a speed of 3.9×10<sup>6</sup>ms<sup>–1</sup> enter the region between two charged parallel plates X and Y. Plate X is positively charged and plate Y is connected to earth.</p>
<p><img 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u/nF+Tr+9773hPaikd4ECBAgAABAgQIEKiSwB9UaT92Q4AAAQIECBAgQKBdQMD0h0CAAAECBAgQIFBVAQGzqpx2RoAAAQIECBAgIGD6GyBAgAABAgQIEKiqgIBZVU47I0CAAAECBAgQEDD9DRAgQIAAAQIECFRVQMCsKqedESBAgAABAgQICJj+BggQIECAAAECBKoqIGBWldPOCBAgQIAAAQIEBEx/AwQIECBAgAABAlUVEDCrymlnBAgQIECAAAECAqa/AQIECBAgQIAAgaoKCJhV5bQzAgQIECBAgAABAbOCv4GaSZMrGG1oNQSYV0Oxsn0wr8zrSEfzPlLByrdnXrmZLQhUKiBgVipmPAECBAgQIECAQFkBAbMsj5UECBAgQIAAAQKVCgiYlYoZT4AAAQIECBAgUFZAwCzLYyUBAgQIECBAgEClAgJmpWLGEyBAgAABAgQIlBUQMMvyWEmAAAECBAgQIFCpgIBZqZjxBAgQIECAAAECZQUEzLI8VhIgQIAAAQIECFQqcEJb8ah0o5E4vpo33m3Y3TgSiap+TMyrTjrgDqtl7m98QOr2AdXyLu2MOfPBCRhFIA0BAbOCPpT+Y+F/5CsAq8JQ5lVArHAXzCsEO8LhvI8QcAibMx8Cmk0IVCjgEnmFYIYTIECAAAECBAiUFxAwy/tYS4AAAQIECBAgUKGAgFkhmOEECBAgQIAAAQLlBQTM8j7WEiBAgAABAgQIVCggYFYIZjgBAgQIECBAgEB5AQGzvI+1BAgQIECAAAECFQoImBWCGU6AAAECBAgQIFBeQMAs72MtAQIECBAgQIBAhQJutF4hmOEECBAgQIAAAQLlBZzBLO9jLQECBAgQIECAQIUCAmaFYIYTIECAAAECBAiUFzix/Oq+17bULYs3zt8UB/pe3W3pm+La7RtjweTRXcsG2nbMnA3x1JppcWiLrk29IECAAAECBAgQyEDgCD6DuSfqt3w1vvbFdbF55/6ehzp6Slzy+c/EP8yYHKN6rul41xrNOz4TH7xkbTzdUlo0Ns6csyI+sWJ2TB3X9xZ97sZCAgQIECBAgACB5ASO4BL5+Jh68aJYvXVr3Pz2k3oe2OveFZf3Gy5LQ0fFuDe+Ld7ymuI8ZSmMrv96bFlziXDZU9E7AgQIECBAgECWAkcQMDuOd1RNzLrj7p4h88d18e2GchfQizOY39kSX3/hNTFj9W1lznRmaapoAgQIECBAgMBxLXDkAbPEVwqZa/4uZk/s+ORkyxNxyzVfiobWvm1bG7fE8hWPxIQr1sTqi2v6uYze97aWEiBAgAABAgQIpC1wBJ/B7H1gxVnJuo/HO+ffG03tq8bG1Os2xdcuP6NngGz+fqyZtzA2nHhlPLT58qipwkcuayZN7l2M9wQIECBA4JgLNOxuPOY1KIDAsRCoYsAslf9ibF86OxZs+snBYxl9blz7zbtiQc2YjmPrWP/YW6L2m5+KaUf4hR7BsoPVEwECBAgkLSBoJt0exQ2DQHUukXcVNiGmrbiun0vlB6Jh/VVxxdZXx8LbFx9xuOya0gsCBAgQIECAAIGkBKocMItjGzc9lq98b0zsOMyWJz8Xyzb8KPbsuD0Wr/lRvGHpylh89vikEBRDgAABAgQIECBQPYEqXyLvLKz3pfIJMXFcca/MaZ+Nh9bMiHGdw47w2SXyIwS0OQECBAgcFQGXyI8Ks0kSEqj+Gcz2g+t9qfzFaGo+LxYvm161cJmQoVIIECBAgAABAgS6CQxTwCxm6HWpPIpbF33l/mejnzsXdStp8C/9P8LBWxlJgAABAsdGwH+rjo27WY+twJB+i3xwJbdE877uPyG5P+rXfDLumt79W+WD21O5Uf7FLadjHQECBAgQIEDg6AsM2xnM1oYvxZLl34nXXnFVXDTIG7Af/cM3IwECBAgQIECAQLUFhidgNj8a1829LX4x7fq4ZclVcf1h3yrfVdVL5dVGsT8CBAgQIECAAIGhC1Q/YLbuitr5i2NzXBQ3rLk4Jo0aVXwc8+q4Yc4pHVV2XCov+1vlQz8gWxIgQIAAAQIECBxbgSoHzD2x45YVccvTfxrXbvy7bjdT7/2t8vK/VX5sScxOgAABAgQIECBwJAJVDJil3yK/Na66Y29cuO6z3X4esqO8Xt8qP3gDdpfKj6R5tiVAgAABAgQIpChQtYDZ2rAhFix8MCZcsSqWT5/Qx7G6VN4HikUECBAgQIAAgREnUJWA2dq4KRbNvTn+95lXxq1L3lzmZuqHXypfNfcfYntzNe+OOeJ65IAIECBAgAABAlkJHGHALC6L16+PD73/+ni0aXLM//jcqBk1wPEXl8qvueZtMbpzWNO9ccW8z8QOIbNTxDMBAgQIECBAIGuBIQbMUrB8INYtnRXnXrQy6ppaCoTfxfPP/2Lg2w+17o7vfOvHUdqi89Gyc23MnbciausaB96+cyPPBAgQIECAAAECSQqc0FY8Kqvsmah9z8xYtfNAP5tNjNkbHonV08f1Wt8Su9fPjQtu/EGv5b3ejpkTtU/fFNO6TnH2Wu8tAQIECBAgQIBA0gJDCJhJH4/iCBAgQIAAAQIEjrHAEC+RH+OqTU+AAAECBAgQIJCsgICZbGsURoAAAQIECBDIU0DAzLNvqiZAgAABAgQIJCsgYCbbGoURIECAAAECBPIUEDDz7JuqCRAgQIAAAQLJCgiYybZGYQQIECBAgACBPAUEzDz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQQMPPsm6oJECBAgAABAskKCJjJtkZhBAgQIECAAIE8BQTMPPumagIECBAgQIBAsgICZrKtURgBAgQIECBAIE8BATPPvqmaAAECBAgQIJCsgICZbGsURoAAAQIECBDIU0DAzLNvqiZAgAABAgQIJCsgYCbbGoURIECAAAECBPIUEDDz7JuqCRAgQIAAAQLJCgiYybZGYQQIECBAgACBPAUEzDz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQQMPPsm6oJECBAgAABAskKCJjJtkZhBAgQIECAAIE8BQTMPPumagIECBAgQIBAsgICZrKtURgBAgQIECCQlcCeb8SaDc9kVfJwFStgDpes/RIgQIAAAQLHkcDvor62Nr7XehwdcplDFTDL4FhFgAABAgSOF4Gmpqaor68/Xg636sfZ2rAxbqx19rITVsDslPBMgAABAgSOY4Gbb7op3nvRrJj2538eDz/08HEsMYRDb/5+3Hr156K+ZQjbjtBNBMwR2liHRYAAAQIEKhH4zW9+2z78pz/5aVy5aJGgOUi81saH47p5C2Pdzv2D3OL4GCZgHh99dpQECBAgQKAigWMSNJvr4/71q+Lyc8+L5XXN7fW2Nm6P2qUz44xJk6Om+OeM9yyL2rrGKP9Rxz1Rv+X2WP6e/xoXri9dtm6N5vqvFu+nFPs4Pf7ssvVR39x7Dwdid92XY123uQ6OXRW1W+rjYDXdCYs51v9tnD9tUXy1K1weiKdv/Mv2Oku11pyxLLb3eVaz0rm6zdvaGNs3lIymdBxbaV3n8ZaOr5j3tJmxfP322N37EHvs5nDXdaXjbN0VtSu+HLu7jR3SyzYPAgQIECBA4LgXuOzS+W1/fMqkfv952/nntz304EPD4PT7tn1Pbm37p2ve0/YnXfOf27Zs26/b9v3wlraZp/ZV05ltM1d/r21fr2p+/3xd24bVl7W9pWs/Z7TN/MKP2/Ztu7bbstL+3ti24L6fHdp63w/b1s9/a9sfn3NZ263bnm/7ffua/9vWuO22tgXnnNZu8ifvvqXth/sOrjm04cFX/2/b0rbXt89Zmu/feq/u+X6oc+17sm3LYcdWzPX759q2XF7U3nXMnV6ntb3lmn85zKjYoMP1rW0Lbv6XtsbOQyr2v6mzB+/+Qltjz6orfucM5pBiuY0IECBAgMDxJTBsZzRbHovV77861mzaGd1P9v3+mdpY8JEfx/nr6uKZ3Y3R0FAXtR++ICa2s++Pp+9YGAvW7+p2JvPn8fUbPhY33LEtmrq1pnXXuvjQ2vHx2aeeiR1bV8T0iaMjJr413nHWqw+OKp2xm39prHrspLh249r42PTJMap9zZiYNP3q+Kd7b4gZxTYtO9fG3HmfiR2HnfnsNtlAL4c818/j/sXz45pexxat/xq1s/9bPFJzddz31HPRsPu52LHlw3FmcYhRaDZt3Rx1e3qdxmx9Kr7wkXWx6/yrY/WSGTHp4MFGjJsas9fUxh1zThnoKAa1XsAcFJNBBAgQIECAQEmg6kFz9LRYvasIkLu/GzdfMK4DuSm23v1CfOBL3QLfqMkxbcnauOe6c6M9P8X+qL/znnisK/D955h1Z317yPpft87oGHMg/vWfm+Ivbl4UZ48bXWSoy2P9E89EwxOfi1mTxxRzHYiGDZ+MW548EBMvmh/vrSkt6/kYNfniuPGat7Xvr2XnurhqZV0fl8t7btP3uyOZq/PYfhT3XXF6x+6Ly/G33hN7r/tKrF82K6aOKyXFUTHu7CviEws6xrT8IB7577/sUU7rzm/HQy90j/LdV0+Iacuuiukndl82tNcC5tDcbEWAAAECBI5rgaoHzZgQZ517WofpxJi98lMdIbA785iomb8k5p90MGJG0yPxlW09A1QpZL3iVa/qOAs5Ok5asCQu7SM4tu+1+fFYf+eO4lzfy+P15/xpdMbb7jOW9jf+woUdc5bOCm6I+xoO9BwymHdVmetl8YY3vTEOxuAxcebS1bH07PG9Zu8+5kC8uPelHuv/fd/e+HWxpOWxzbG1r+MYf26845yxPbYZyhsBcyhqtiFAgAABAgTaBboHzccfe3z4VUa9Lma8e3LHPP8nnnnuF90uk/eeflS86tVjO8Jm73WtsWfb5nigqXQ277Q456wJvQccet99zpan4sG6nx5aN6hXR3Ou8gX9wateHX9YGtLyRKz6q/fF8k29v8BUnC1ddklMKr+bAddW4STogHMMy4DSt6Q8CBAgQIAAgTQESkHzg/PmFZeoG4e5oI4zdHc8U1zgbolf7/lt/HsxY+dHCQc/+f7Y+T+f7vG5z/63/Q9x8qmnFJfJnynGH4hnn/1Z8Xx6x2X4/rc6tOZoznVo1r5ejZoyM/76rI2x6snitkotO2Pz0lmx+bYLYuE1i+JvL57az1ncvvZUflm2AXP4/4DLw1lLgAABAgRGksCC+ZfF9rq6IR/Sm//sLbF4yZIhb1/JhqMnn1qcc4x4upKNDhv7q2jYdfjNhw4b1r7g0GX30vnOA7uei5/FtArO8h3Nufo+gq6lo86IBRvuilj80Vi17YWDi5u2xbrFxT83XxCLVl4XH+n6olPXVhW/cIm8YjIbECBAgAABAp0CpWB539b748sbN8bUqVM7F2f2/JvY29zfF18OHkpnqC29Gz1hfAz9U4pHc65+2jDu7Fhw56OxbUPxhZ7St+o7H0XQvH3+zLh4xcNl76HZObzcs4BZTsc6AgQIECBAoE+BNILl6PjD8a+IoYWZ/xivntD5rfFfxbPPD/Zs5uh4zemnVHgp+WjO1We7+lh48DZM65/4ftx364e6Bc3iFlBfWR5LNnS/BVQfmw+waGg9GWCnVhMgQIAAAQIjUyCFYNnavDf2tfO+PE4/9bVD+PxlaePu31of6MtCxW8Bdc05Od759tdVOOfRnKvSv7vxMfXiZbH+u9+KdR+Y0vG50uIWUF/8euzsdQvNSvYsYFaiZSwBAgQIEDhOBVIIlgfpi599fL4h2m9ONPEd8YELXjPEjoyOP5o+I6a2XyFuiRe2bul2T83eu+w250nTY8aUl/UeMMD7ozlX+VJa6j4Vi7b8/PBBxX1G/2LlHbGy816kv94bzaVvTw3xIWAOEc5mBAgQIEDgeBA4NsGyOXY1/Kof3l/Gdx7+QfEt7rEx9bJ5cX77Dcb7GVrcwGjf3v393sZoVM2Fseiijl+uaXowbt/8bD9j9xbfOC99g7yY829mxpReX1nvuvVPmfmqNVd/Rzr45S/Fdx9+ovj18r4e3c60nn5qTO728cy+RpdbJmCW07GOAAECBAgcpwLHJlh2Yhe/UnPn3bG961d6OpcXZxLr1sat25pj9FlXxk3zzxjgUvWh2xh17qHnc/HLNStWxcIppa/sFJeF13wy7urj5uOtDQ/E7Vt/HhPffn3c0seco04+LU7vfSa0tTG+veLquK3+dx1TVmOu1vjtvn0dIbjzdkk9j6jnu77HtGz7+1jY42c2O7dqKQL5b4o3RZB+93nxR52Lh/AsYA4BzSYECBAgQGCkCbzyla9oP6RjGyw7VccUvzn+SFwx7+Oxub7zXNueqN/08fjgwntjz5QPx8YN86Om15nE9q2bvx+f/swjxd0qDz4OPHZ/fKOx813n/rs9j3tzLP7H1XFJKWSWbj4+98NxW11jV4jbXffp+NDc2+IX026IjXfMOfTb3d12EeNeH+ecWQqpxaPp3ljwxlOjpmZmrH3lnJg/tdvl9COdq/XZ2LrxieJM6sFHn8fW2hDf+Or3Bjj+IkzfOCcuXnp73N/D94b4ZO0v4swPrO4zSHdMO6inE9qKx6BGGkSAAAECBAiMWIGmpqZ4af9Lcepppx6jY2yJ3evnxgU3/qCYv/ipyA1fjvftuy8+f/OdUdf+azvF7YGmzImr/+aSeF+fNwTvvn1fh/CmuHb7xljQ73XfIsBu+Wp87YvrYvPO4ibk7Y+xceachTHv/ZfErKm9f5Kx1xzNO6K2896So6fE7Bv/PpbP6e/G5ZXONcCxTVkR2/75gxFdfr1qK71tH3N5/JfiM5gf3XdZfPasf4t7vv1EfO/Ouzp8R8fECy6NBXMviXlVuA+mgNlHDywiQIAAAQIEjrZA9xBVCpiPxOrpff86+NGuzHyVC7hEXrmZLQgQIECAAAECBMoICJhlcKwiQIAAAQIECBCoXEDArNzMFgQIECBAgAABAmUEBMwyOFYRIECAAAECR0ug8xY5pfkOxJ59nbf3OVrzm6eaAgJmNTXtiwABAgQIEBiSQGvjg7Fua2PHts3x+BfvjR2H3QdzSLu20TEQ8C3yY4BuSgIECBAgQKBDoHF9XDhtZTzdH0jH7XUm9bfe8iQFBMwk26IoAgQIECBAgEC+Ai6R59s7lRMgQIAAAQIEkhQQMJNsi6IIECBAgAABAvkKCJj59k7lBAgQIECAAIEkBQTMJNuiKAIECBAgQIBAvgICZr69UzkBAgQIECBAIEkBATPJtiiKAAECBAgQIJCvgICZb+9UToAAAQIECBBIUkDATLItiiJAgAABAgQI5CsgYObbO5UTIECAAAECBJIUEDCTbIuiCBAgQIAAAQL5CgiY+fZO5QQIECBAgACBJAUEzCTboigCBAgQIECAQL4CAma+vVM5AQIECBAgQCBJAQEzybYoigABAgQIECCQr4CAmW/vVE6AAAECBAgQSFJAwEyyLYoiQIAAAQIECOQrIGDm2zuVEyBAgAABAgSSFBAwk2yLoggQIECAAAEC+QoImPn2TuUECBAgQIAAgSQFBMwk26IoAgQIECBAgEC+AgJmvr1TOQECBAgQIEAgSQEBM8m2KIoAAQIECBAgkK+AgJlv71ROgAABAgQIEEhSQMBMsi2KIkCAAAECBAjkKyBg5ts7lRMgQIAAAQIEkhQQMJNsi6IIECBAgAABAvkKCJj59k7lBAgQIECAAIEkBQTMJNuiKAIECBAgQIBAvgICZr69UzkBAgQIECBAIEkBATPJtiiKAAECBAgQIJCvgICZb+9UToAAAQIECBBIUkDATLItiiJAgAABAgQI5CsgYObbO5UTIECAAAECBJIUEDCTbIuiCBAgQIAAAQL5CgiY+fZO5QQIECBAgACBJAUEzCTboigCBAgQIECAQL4CAma+vVM5AQIECBAgQCBJAQEzybYoigABAgQIECCQr4CAmW/vVE6AAAECBAgQSFJAwEyyLYoiQIAAAQIECOQrIGDm2zuVEyBAgAABAgSSFBAwk2yLoggQIECAAAEC+QoImPn2TuUECBAgQIAAgSQFBMwk26IoAgQIECBAgEC+AidWXnpzbF/6jliwqan8pmPmRO3TN8W00b2HPRO175kZq3Ye6L3i4Pt+t+t7uKUECBAgQIAAAQJpCZzQVjwqL6k1muu/Hl9Y++lYt+2FbpuPjokXXBNrb50fU8eN6rb88JetjZti0fuvj0ebWtpXjp4yJ5Z89ENx6fTJUX7Lw/dlCQECBAgQIECAQDoCQ7xEPirGTZ0VS79wd9z89pO6Hc34OG/u7AHDZWmDUZPfFQsvmly8KkLp22+Kb269KRYIl90svSRAgAABAgQI5CkwxIDZcbCjamLWmjWxcMrYjgVN8cDazdHQOgiM1h/Ho99ojNFnXRP33DEnJjltOQg0QwgQIECAAAEC6QscWcAsHd+4N8fiT18ZUzs+a9ny5Odi2YZdUT5jHoiGDbfEhl+eHUtu/uuoES7T/0tRIQECBAgQIEBgkAJHHjCLiUbVXBiLLjqlY8r9Ub/mk3FXQz9f4ilGtTZ8KZat+VG8Yekn4tKaMYMs1TACBAgQIECAAIEcBKoSMCMmxLQV18XsiZ2nMXfEXesej+Y+BV6Mx9ZtjPrx74pFs0/zhZ4+jSwkQIAAAQIECOQrUKWAWQCMmx7LV743JrZbtETTphtjdd2LvWSKb5/XfTqu3xQxe+XVMW2Ab5r32thbAgQIEBjhAi+99FLU19d3/TPCD9fhERixAkO8TVF/Hi8W98icXdwj8ycHB0x8f9R+81OHgmTzo7H8r66Kx8//bDy0ZkaM6283lhMgQIDAcSfw8EMPx4rly2P//v1dxz527Nj43O23x3nnn9e1zAsCBNIXqHLALA64PUQuis3t97csbkE05/aOMFl8sWf9pfHONWNj5RN3xKzx1flmT82k0q2OPAgQIECAQJoCDbsb0yxMVQSGUaB6l8g7i+znUvmhL/Z8LGYKl51angkQIEBghAs4ETLCG+zw+hSo/hnM9ml6Xyo/N6b/px/F4ydeGQ9tvrxqtyXyL22fPbWQAAECBBITcBYzsYYoZ9gFqn8Gs73kXt8qb3oi6na+NuZ/fG7VwuWwy5iAAAECBAgQIEBgSALDFDCLWsadF5dfdnbxQ5AdjynvjTlTX9b5zjMBAgQIECBAgMAIFRi+gBlj4uSak4f1PpcuOYzQv0qHRYAAAQIECGQtcGLW1RfFC5m5d1D9BAgQiHj8scfjg/Pm9Unx8pe/PO5/4IE49bRT+1xvIQEC6QkM4xnM9A5WRQQIECCQpkDpPpd333NPnHTSST0KPPmUk4XLHiLeEMhDIPszmHkwq5IAAQIEBhIohczv/I/H47lnn4u/nDEjvvXoo85aDoRmPYFEBZzBTLQxyiJAgMDxKtB5Kbzz+Xh1cNwEchYQMHPuntoJECBAgAABAgkKDGPAbImfNTTGgc6D3rs39rV2vvFMgAABAgQIECAwUgWGKWC2RnP93XHjnU8dcnvhwfj8hh3RfGiJVwQIECBAgAABAiNQoMo/Fdkc25e+IxZsaipPNWZO1D59U0zrugt7+eHWEiBAgMDxJVD6KWC3oTu+eu5oR5ZAlQPmyMJxNAQIECBwbAQEzGPjblYC1RIYpkvk1SrPfggQIECAAAECBHITEDBz65h6CRAgQIAAAQKJCwiYiTdIeQQIECBAgACB3AQEzNw6pl4CBAgQIECAQOICAmbiDVIeAQIECBAgQCA3AQEzt46plwABAgQIECCQuICAmXiDlEeAAAECBAgQyE1AwMytY+olQIAAAQIECCQuIGAm3iDlESBAgAABAgRyExAwc+uYegkQIECAAAECiQsImIk3SHkECBAgQIAAgdwEBMzcOqZeAgQIECBAgEDiAgJm4g1SHgECBAgQIEAgNwEBM7eOqZcAAQIECBAgkLiAgJl4g5RHgAABAgQIEMhNQMDMrWPqJUCAAAECBAgkLiBgJt4g5REgQIAAAQIEchMQMHPrmHoJECBAgAABAokLCJiJN0h5BAgQIECAAIHcBATM3DqmXgIECBAgQIBA4gICZuINUh4BAgQIECBAIDcBATO3jqmXAAECBAgQIJC4gICZeIOUR4AAAQIECBDITUDAzK1j6iVAgAABAgQIJC4gYCbeIOURIECAAAECBHITEDBz65h6CRAgQIAAAQKJCwiYiTdIeQQIECBAgACB3AQEzNw6pl4CBAgQIECAQOICAmbiDVIeAQIECBAgQCA3AQEzt46plwABAgQIECCQuICAmXiDlEeAAAECBAgQyE1AwMytY+olQIAAAQIECCQuIGAm3iDlESBAgAABAgRyExAwc+uYegkQIECAAAECiQsImIk3SHkECBAgQIAAgdwEBMzcOqZeAgQIECBAgEDiAgJm4g1SHgECBAgQIEAgNwEBM7eOqZcAAQIECBAgkLiAgJl4g5RHgAABAgQIEMhNQMDMrWPqJUCAAAECBAgkLiBgJt4g5REgQIAAAQIEchMQMHPrmHoJECBAgAABAokLCJiJN0h5BAgQIECAAIHcBATM3DqmXgIECBAgQIBA4gIntBWPxGtUHgECBAhUIFAzaXIFow0dToGG3Y3DuXv7JpCsgICZbGsURoAAAQIECBDIU8Al8jz7pmoCBAgQIECAQLICAmayrVEYAQIECBAgQCBPAQEzz76pmgABAgQIECCQrICAmWxrFEaAAAECBAgQyFNAwMyzb6omQIAAAQIECCQrIGAm2xqFESBAgAABAgTyFBAw8+ybqgkQIECAAAECyQoImMm2RmEECBAgQIAAgTwFBMw8+6ZqAgQIECBAgECyAgJmsq1RGAECBAgQIEAgTwEBM8++qZoAAQIECBAgkKyAgJlsaxRGgAABAgQIEMhTQMDMs2+qJkCAAAECBAgkKyBgJtsahREgQIAAAQIE8hQ4Mc+yVU2AAAECwyVQM2nycO06q/027G7Mql7FEkhJ4IS24pFSQWohQIAAAQIECBDIW8Al8rz7p3oCBAgQIECAQHICAmZyLVEQAQIECBAgQCBvAQEz7/6pngABAgQIECCQnICAmVxLFESAAAECBAgQyFtAwMy7f6onQIAAAQIECCQnIGAm1xIFESBAgAABAgTyFhAw8+6f6gkQIECAAAECyQkImMm1REEECBAgQIAAgbwFBMy8+6d6AgQIECBAgEByAgJmci1REAECBAgQIEAgbwEBM+/+qZ4AAQIECBAgkJyAgJlcSxREgAABAgQIEMhbQMDMu3+qJ0CAAAECBAgkJyBgJtcSBREgQIAAAQIE8hY4Me/yVU+AAAECOQjUTJo87GU27G4c9jlMQIDA4AROaCsegxtqFAECBAgQIECAAIGBBVwiH9jICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWEDAHNjICAIECBAgQIAAgQoEBMwKsAwlQIAAAQIECBAYWOD/A7EeeW0UtE6iAAAAAElFTkSuQmCC" alt></p>
<p>A uniform magnetic field also exists in the region between the plates. The direction of the field is such that the protons pass between the plates without deflection.</p>
<p>(i) State the direction of the magnetic field.</p>
<p>(ii) The magnitude of the magnetic field strength is 2.3×10<sup>–4</sup>T. Determine the magnitude of the electric field strength between the plates, stating an appropriate unit for your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Protons can be produced by the bombardment of nitrogen-14 nuclei with alpha particles. The nuclear reaction equation for this process is given below.</p>
<p>\[{}_7^{14}{\rm{N}} + {}_2^4{\rm{He}} \to {\rm{X}} + {}_1^1{\rm{H}}\]</p>
<p>Identify the proton number and nucleon number for the nucleus X.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The following data are available for the reaction in (d).</p>
<p style="padding-left: 30px;">Rest mass of nitrogen-14 nucleus =14.0031 u<br>Rest mass of alpha particle =4.0026 u<br>Rest mass of X nucleus =16.9991 u<br>Rest mass of proton =1.0073 u</p>
<p>Show that the minimum kinetic energy that the alpha particle must have in order for the reaction to take place is about 0.7 Me V.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A nucleus of another isotope of the element X in (d) decays with a half-life \({T_{\frac{1}{2}}}\) to a nucleus of an isotope of fluorine-19 (F-19).</p>
<p>(i) Define the terms <em>isotope</em> and <em>half-life</em>.</p>
<p>(ii) Using the axes below, sketch a graph to show how the number of atoms <em>N</em> in a sample of X varies with time <em>t</em>, from <em>t</em>=0 to \(t = 3{T_{\frac{1}{2}}}\). There are <em>N</em><sub>0</sub> atoms in the sample at <em>t</em>=0.</p>
<p><img 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" alt></p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Water at constant pressure boils at constant temperature. Outline, in terms of the energy of the molecules, the reason for this.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
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<p>In an experiment to measure the specific latent heat of vaporization of water, steam at 100°C was passed into water in an insulated container. The following data are available.</p>
<p style="padding-left: 30px;">Initial mass of water in container = 0.300kg<br>Final mass of water in container = 0.312kg<br>Initial temperature of water in container = 15.2°C<br>Final temperature of water in container = 34.6°C<br>Specific heat capacity of water = 4.18×10<sup>3</sup>Jkg<sup>–1</sup>K<sup>–1</sup></p>
<p>Show that the data give a value of about 1.8×10<sup>6</sup>Jkg<sup>–1</sup> for the specific latent heat of vaporization <em>L</em> of water.</p>
<div class="marks">[4]</div>
<div class="question_part_label">h.</div>
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<p>Explain why, other than measurement or calculation error, the accepted value of <em>L</em> is greater than that given in (h).</p>
<div class="marks">[2]</div>
<div class="question_part_label">i.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>the force exerted per unit charge;<br>on a positive small/test charge;</p>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
<p>\(E = \frac{{ke}}{{{r^2}}} = \frac{{9 \times {{10}^9} \times 1.6 \times {{10}^{ - 19}}}}{{{{10}^{ - 30}}}}\);<br>\( = 1.4 \times {10^{21}}{\rm{N}}{{\rm{C}}^{ - 1}}\) <em><strong>or</strong></em> Vm<sup>-1</sup>;</p>
<div class="question_part_label">b.</div>
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<p>(i) into the (plane of the) paper;<br>(ii) <em>Ee</em>=<em>Bev <strong>or</strong></em> <em>E</em>=<em>Bv</em>; <br>=(2.3×10<sup>-4</sup>×3.9×10<sup>6</sup>=)900/897;<br>NC<sup>-1</sup> <em><strong>or</strong></em> Vm<sup>-1</sup>;</p>
<div class="question_part_label">c.</div>
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<p><em>proton number</em>: 8<br><em>nucleon number</em>: 17<br><em>(both needed)</em></p>
<div class="question_part_label">d.</div>
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<p>16.9991u+1.0073u-[14.0031u+4.0026u];<br>=-7.00×10<sup>-4</sup>;<br>7.000×10<sup>-4</sup>×931.5=0.6521MeV;<br>(∼0.7MeV)</p>
<div class="question_part_label">e.</div>
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<p>(i) <em>isotope:</em><br>same proton number/element/number of protons <em><strong>and</strong></em> different number of neutrons/nucleon number/neutron number; } <em>(both needed)</em></p>
<p><em>half-life:</em><br>time for the activity (of a radioactive sample) to fall by half its original value / time for half the radioactive/unstable nuclei/atoms (in a sample) to decay;</p>
<p>(ii) <img src="data:image/png;base64,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" alt></p>
<p>(approximately) exponential shape;<br>minimum of three half lives shown;<br>graph correct at \(\left[ {{T_{\frac{1}{2}}},\frac{{{N_0}}}{2}} \right],\left[ {2{T_{\frac{1}{2}}},\frac{{{N_0}}}{4}} \right],\left[ {3{T_{\frac{1}{2}}},\frac{{{N_0}}}{8}} \right]\);</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>temperature is a measure of the (average) kinetic energy of the molecules;<br>at the boiling point, energy supplied (does not increase the kinetic energy) but (only) increases the potential energy of the molecules/goes into increasing the separation of the molecules/breaking one molecule from another / <em>OWTTE</em>;</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(energy gained by cold water is) 0.300×4180×[34.6-15.2] / 24327;<br>(energy lost by cooling water is) 0.012×4180×[100-34.6] / 3280;<br>(energy lost by condensing steam is) 0.012<em>L</em>;<br>1.75×10<sup>6</sup>(Jkg<sup>-1</sup>)/<br>\(\frac{{\left[ {{\rm{their energy gained by cold water}} - {\rm{their energy lost by cooling water}}} \right]}}{{0.012}}\);</p>
<p><em>Award <strong>[4]</strong> for 1.75×10<sup>6</sup>(Jkg<sup>-1</sup>).</em><br><em>Award <strong>[2 max]</strong> for an answer that ignores cooling of condensed steam.</em></p>
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>some of the energy (of the condensing steam) is lost to the surroundings;<br>so less energy available to be absorbed by water / rise in temperature of the water would be greater if no energy lost;</p>
<div class="question_part_label">i.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">i.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about nuclear reactions. <strong>Part 2</strong> is about thermal energy transfer.</p>
<p><strong>Part 1</strong> Nuclear reactions</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Thermal energy transfer</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the term <em>unified atomic mass unit.</em></p>
<p>(ii) The mass of a nucleus of einsteinium-255 is 255.09 u. Calculate the mass in MeVc<sup>–2</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When particle X collides with a stationary nucleus of calcium-40 (Ca-40), a nucleus of potassium (K-40) and a proton are produced.</p>
<p>\[{}_{20}^{40}{\rm{Ca + X}} \to {}_{19}^{40}{\rm{K + }}{}_1^1{\rm{p}}\]</p>
<p>The following data are available for the reaction.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Identify particle X.</p>
<p>(ii) Suggest why this reaction can only occur if the initial kinetic energy of particle X is greater than a minimum value.</p>
<p>(iii) Before the reaction occurs, particle X has kinetic energy 8.326 MeV. Determine the total combined kinetic energy of the potassium nucleus and the proton.</p>
<div class="marks">[6]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Potassium-38 decays with a half-life of eight minutes.</p>
<p>(i) Define the term <em>radioactive half-life</em>.</p>
<p>(ii) A sample of potassium-38 has an initial activity of 24×10<sup>12</sup>Bq. On the axes below, draw a graph to show the variation with time of the activity of the sample.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(iii) Determine the activity of the sample after 2 hours.</p>
<div class="marks">[5]</div>
<div class="question_part_label">d.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Define the <em>specific latent heat</em> of fusion of a substance.</p>
<p>(ii) Explain, in terms of the molecular model of matter, the relative magnitudes of the specific latent heat of vaporization of water and the specific latent heat of fusion of water.</p>
<div class="marks">[5]</div>
<div class="question_part_label">e.</div>
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<p>A piece of ice is placed into a beaker of water and melts completely.</p>
<p>The following data are available.</p>
<p style="padding-left: 30px;">Initial mass of ice = 0.020 kg<br>Initial mass of water = 0.25 kg<br>Initial temperature of ice = 0°C<br>Initial temperature of water = 80°C<br>Specific latent heat of fusion of ice = 3.3×10<sup>5</sup>J kg<sup>–1</sup><br>Specific heat capacity of water = 4200 J kg<sup>–1</sup>K<sup>–1</sup></p>
<p>(i) Determine the final temperature of the water.</p>
<p>(ii) State <strong>two</strong> assumptions that you made in your answer to part (f)(i).</p>
<div class="marks">[5]</div>
<div class="question_part_label">f.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">one twelfth of the mass of a carbon-12 atom/ </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">\({}_6^{12}{\rm{C}}\);<br>Do not allow nucleus. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">255.09</span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">×</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">931.5 </span><span style="font-size: 12.000000pt; font-family: 'SymbolMT';">= </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">237600</span><span style="font-size: 15.000000pt; font-family: 'SymbolMT'; vertical-align: -2.000000pt;">(</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">MeVc</span><span style="font-size: 7.000000pt; font-family: 'SymbolMT'; vertical-align: 5.000000pt;">−</span><span style="font-size: 7.000000pt; font-family: 'TimesNewRomanPSMT'; vertical-align: 5.000000pt;">2 </span><span style="font-size: 15.000000pt; font-family: 'SymbolMT'; vertical-align: -2.000000pt;">)</span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">;<br></span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">Award </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold; font-style: italic;">[1] </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">for a bald correct answer. </span></p>
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<div class="question_part_label">a.</div>
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<div class="column">(i) neutron/\({}_0^1{\rm{n}}\);</div>
<div class="column"> </div>
<div class="column">(ii) the (rest) mass of the products is greater than that of the reactants;<br>energy must be given to supply this extra mass;</div>
<div class="column"> </div>
<div class="column">(iii) \(\Delta m = \left[ {37216.560 + 938.272} \right] - \left[ {37214.694 + 939.565} \right] = 0.573\left( {{\rm{MeV}}{{\rm{c}}^{ - 2}}} \right)\);<br>energy required for reaction=0.573(MeV);<br>kinetic energy=(8.326-0.573=)7.753(MeV);<br><em>Award <strong>[3]</strong> for a bald correct answer.</em></div>
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<div class="question_part_label">c.</div>
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<div class="layoutArea">(i) time for the activity of a sample to halve / time for half the radioactive <span style="text-decoration: underline;">nuclei</span> to decay;</div>
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<div class="layoutArea">(ii) four data points (0, 24) (8, 12) (16, 6) (24, 3) correct;<br>smooth curve through points;</div>
<div class="layoutArea"><img 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" alt></div>
<div class="layoutArea">(iii) 2 hours (=120 minutes)=15 half-lives;</div>
<div class="layoutArea">activity=\(\frac{{24 \times {{10}^{12}}}}{{{2^{15}}}} = 7.3 \times {10^8}\left( {{\rm{Bq}}} \right)\);</div>
<div class="layoutArea"><em><strong>or</strong></em></div>
<div class="layoutArea">\(\lambda = \frac{{1{\rm{n}}2}}{8};\left( {A = {A_0}{e^{ - \lambda t}}{\rm{ method}}} \right)\);<br>=7.3×10<sup>8</sup>(Bq)<br><em>Award <strong>[2]</strong> for a bald correct answer.</em></div>
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<div class="question_part_label">d.</div>
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<div class="page" title="Page 9">(i) the energy (absorbed/released) when a unit mass/one kg;<br>of liquid freezes (to become solid) <span style="text-decoration: underline;">at constant temperature</span> / of solid melts (to become liquid) <span style="text-decoration: underline;">at constant temperature</span>;</div>
<div class="page" title="Page 9"> </div>
<div class="page" title="Page 9">(ii) potential energy changes during changes of state / bonds are weakened/broken during changes of state;<br>potential energy change is greater for vaporization than fusion / more <span style="text-decoration: underline;">energy</span> is required to break bonds than to weaken them;<br>SLH vaporization is greater than SLH fusion;<br><em>Only award third marking point if first marking point or second marking point is awarded.</em></div>
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<div class="question_part_label">e.</div>
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<div>(i) use of \(\Delta Q = mc\Delta T\) and <em>mL</em>;<br>\(0.020 \times 3.3 \times {10^5} + 0.020 \times 4200 \times \left( {T - 0} \right) = 0.25 \times 4200 \times \left( {80 - T} \right)\);<br><em>T</em>=68(°C);<br><em>Allow<strong> [3]</strong> for a bald correct answer.</em><br><em>Award <strong>[2]</strong> for an answer of T=74°(C) (missed melted ice changing temperature).</em></div>
<div> </div>
<div>(ii) no energy given off to the surroundings/environment;<br>no energy absorbed by beaker;<br>no evaporation of water;</div>
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<div class="question_part_label">f.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) The definition of the unified atomic mass unit relates to the mass of the carbon 12 atom. Few candidates made this reference. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) Almost all were able to convert the mass unit into MeVc</span><span style="font-size: 6.000000pt; font-family: 'Arial'; vertical-align: 5.000000pt;">-2</span><span style="font-size: 10.000000pt; font-family: 'Arial';">. </span></p>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';"> </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) This was well answered with the majority of candidates identifying the neutron. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) Few could relate the mass defect to the energy required to initiate the reaction. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">iii) Many were able to calculate the mass defect but did not realize that in this reaction it is the energy needed to initiate the reaction. This is why the products have more combined mass than the reactants. </span></p>
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</div>
<div class="question_part_label">c.</div>
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<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) The definition of radioactive half-life was often poorly done with few appreciating that half the radioactive nuclei decay into a more stable form. Those that explained that the activity of the sample would halve were more successful. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) Almost all were able to draw the decay curve. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">iii) This was well answered with responses split between those that successfully found the number of half-lives elapsed in 2 hours and going on to find the activity of the sample and those that took the decay constant route. At SL, most successfully found the number of half lives elapsed in 2 hours and were able to find the corresponding activity of the sample. </span></p>
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<div class="question_part_label">d.</div>
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<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) The majority related the latent heat to the energy required for a change of state but few successfully completed the definition by explaining that fusion is the change of state between a solid and liquid at constant temperature. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) This explanation was poorly done with few gaining full marks. Few could relate the change in potential energy during a change of state to fusion and vaporization. </span></p>
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<div class="question_part_label">e.</div>
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<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">i) Of those candidates that established a relevant energy transfer equation, many did not include the heat gained by the ice once it had melted. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ii) Few could state two sources of energy loss that were not included in their energy equation. </span></p>
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<div class="question_part_label">f.</div>
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<br><hr><br>