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</div><h2>SL Paper 2</h2><div class="specification">
<p>This question is about radioactivity.</p>
<p>Caesium-137&nbsp;\(\left( {{}_{55}^{137}{\rm{Cs}}} \right)\) is a radioactive waste product with a half-life of 30 years that is formed during the fission of uranium. Caesium-137 decays by the emission of a beta-minus (&beta;<sup>&ndash;</sup>) particle to form a nuclide of barium (Ba).</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the nuclear equation for this reaction.</p>
<p><img src="data:image/png;base64,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" alt></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>Determine the fraction of caesium-137 that will have decayed after 120 years.</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>Explain, with reference to the biological effects of ionizing radiation, why it is important that humans should be shielded from the radiation emitted by caesium-137.</p>
<div class="marks">[2]</div>
<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 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>&ndash;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 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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&times;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>
</div>
<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>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<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&deg;C<br>Initial temperature of water = 80&deg;C<br>Specific latent heat of fusion of ice = 3.3&times;10<sup>5</sup>J kg<sup>&ndash;1</sup><br>Specific heat capacity of water = 4200 J kg<sup>&ndash;1</sup>K<sup>&ndash;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>
</div>
<br><hr><br>