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data-pid="262" title="Mark as favorite" onclick="return false;"><i class="fa fa-star-o"></i></a> </h1> <ol class="breadcrumb"> <li><a href="../../../physics.html"><i class="fa fa-home"></i></a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><a href="../252/thermal.html">Thermal</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><a href="../258/modelling-gases.html">Modelling gases</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><span class="gray">Pressure law</span></li> <span class="pull-right" style="color: #555" title="Suggested study time: 10 minutes"><i class="fa fa-clock-o"></i> 10&apos;</span> </ol> <article id="main-article"> <p><img alt="" src="../../thermal/gas-6.jpg" style="float: left; width: 150px; height: 187px;">The pressure law states that pressure is proportional to temperature, for a fixed amount of gas at constant volume.</p> <hr class="hidden-separator"> <div class="panel panel-turquoise panel-has-colored-body"> <div class="panel-heading"> <div> <p>Key Concepts</p> </div> </div> <div class="panel-body"> <div> <div class="box"> <p style="text-align: center;"><span class="math-tex">\(p\propto T\)</span></p> <ul> <li><span class="math-tex">\(p\)</span>&nbsp;is pressure (Pa)</li> <li><span class="math-tex">\(T\)</span>&nbsp;is temperature (K)</li> </ul> </div> <p style="text-align: center;"><span class="math-tex">\({p_1\over T_1}={p_2\over T_2}\)</span></p> <p>The pressure law is the basis of the Kelvin scale. When gas molecules&nbsp;stop moving,&nbsp;the pressure becomes zero as there are no collisions with the walls. The temperature on the&nbsp;Kelvin scale falls to absolute zero,&nbsp;the lowest temperature possible, as there is no kinetic energy.&nbsp;</p> </div> </div> <div class="panel-footer"> <div>&nbsp;</div> </div> </div> <div class="panel panel-has-colored-body panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Essentials</p> </div> </div> <div class="panel-body"> <div> <div class="panel panel-yellow panel-has-colored-body panel-has-border"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Simulated experiment</p> </div> </div> <div class="panel-body"> <div> <p><img class="sibico" src="../../../img/sibico/video.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="Video">&nbsp;The pressure law can be verified by measuring the pressure of a gas at different temperatures.</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/163919599"></iframe></div> </div> </div> <div class="panel-footer"> <div> <p>&nbsp;</p> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-has-border panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Kinetic theory explanation</p> </div> </div> <div class="panel-body"> <div> <p><img class="sibico" src="../../../img/sibico/video.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="Video">&nbsp;Comparing two equal volumes of gas, we can see that the pressure of the hot one is greater than the cold. This is because the molecules hit the walls harder due to their increased kinetic energy.</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/163912114"></iframe></div> </div> </div> <div class="panel-footer"> <div> <p>&nbsp;</p> </div> </div> </div> </div> </div> <div class="panel-footer"> <div>&nbsp;</div> </div> </div> <div class="panel panel-has-colored-body panel-green"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Test Yourself</p> </div> </div> <div class="panel-body"> <div> <p><em>Use quizzes&nbsp;to practise application of theory.</em>&nbsp;</p> <br><a class="btn btn-primary btn-block text-center" data-toggle="modal" href="#3e4ee8db"><i class="fa fa-play"></i> START QUIZ!</a><div class="modal fade modal-slide-quiz" id="3e4ee8db"> <div class="modal-dialog" style="width: 95vw; max-width: 960px"> <div class="modal-content"> <div class="modal-header slide-quiz-title"> <h4 class="modal-title" style="width: 100%;"> Pressure law <strong class="q-number pull-right"> <span class="counter">1</span>/<span class="total">1</span> </strong> </h4> </div> <div class="modal-body p-xs-3"> <div class="slide-quiz" data-stats="6-65-262" style="opacity: 0"> <div class="exercise shadow-bottom"><div class="q-question"><p>Fill in the blanks to give a statement of the pressure law.</p><p>Word list: directly, inversely, temperature, pressure, volume , kelvin, mass,</p></div><div class="q-answer"><p>The <input type="text" style="height: auto;" data-c=" pressure "> <span class="review"></span> of a fixed <input type="text" style="height: auto;" data-c=" mass "> <span class="review"></span> of gas is <input type="text" style="height: auto;" data-c=" directly "> <span class="review"></span> proportional to the <input type="text" style="height: auto;" data-c=" temperature "> <span class="review"></span> in <input type="text" style="height: auto;" data-c=" kelvin "> <span class="review"></span> provided the <input type="text" style="height: auto;" data-c=" volume "> <span class="review"></span> remain constant.</p></div><div class="q-explanation"></div><div class="slide-q-actions"><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="exercise shadow-bottom"><div class="q-question"><p>Fill in the blanks to give an explanation of the relationship between Pressure and temperature.</p><p>Word list: momentum, kinetic , potential, velocity, temperature, force .</p></div><div class="q-answer"><p>When the <input type="text" style="height: auto;" data-c=" temperature "> <span class="review"></span> of a gas is increased the molecules have greater <input type="text" style="height: auto;" data-c=" kinetic "> <span class="review"></span> energy and therefore higher <input type="text" style="height: auto;" data-c=" velocity "> <span class="review"></span> , this means that the change in <input type="text" style="height: auto;" data-c=" momentum "> <span class="review"></span> when they hit the walls of the container is greater so the <input type="text" style="height: auto;" data-c=" force "> <span class="review"></span> exerted is increased.</p></div><div class="q-explanation"></div><div class="slide-q-actions"><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="exercise shadow-bottom"><div class="q-question"><p>The temperature of a fixed volume of gas is increased from 100&deg;C to 200&deg;C. By what factor will the pressure change?</p></div><div class="q-answer"><p><label class="radio"><input type="radio"> 2/3</label></p><p><label class="radio"><input type="radio"> 2</label></p><p><label class="radio"><input class="c" type="radio"> 3/2</label></p><p><label class="radio"><input type="radio"> 1/2</label></p></div><div class="q-explanation"><p>The temp must be converted to kelvin 573/373 is about 1.5</p></div><div class="slide-q-actions"><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="exercise shadow-bottom"><div class="q-question"><p>The pressure of a fixed volume of gas changes from 100 kPa to 25 kPa when the temperature is reduced from 127&deg;C. What is the final temperature?</p></div><div class="q-answer"><p><label class="radio"><input type="radio"> 32&deg;C</label></p><p><label class="radio"><input type="radio"> 508&deg;C</label></p><p><label class="radio"><input class="c" type="radio"> -173&deg;C</label></p><p><label class="radio"><input type="radio"> 327&deg;C</label></p></div><div class="q-explanation"><p>Convert to K 127 + 273 = 400K</p><p>1/4 P means 1/4 T = 100K which is 100 -273 = -173&deg;C</p></div><div class="slide-q-actions"><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div> </div> </div> <div class="modal-footer slide-quiz-actions"> <div class=""> <div class="pull-left pull-xs-none mb-xs-3"> <button class="btn btn-default d-xs-none btn-prev"> <i class="fa fa-arrow-left"></i>&nbsp;&nbsp;Prev </button> </div> <div class="pull-right pull-xs-none"> <button class="btn btn-success btn-xs-block text-xs-center btn-results" 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