{"id":160776,"date":"2024-11-03T09:16:41","date_gmt":"2024-11-03T09:16:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160776"},"modified":"2024-11-03T09:16:43","modified_gmt":"2024-11-03T09:16:43","slug":"a-fixed-amount-of-gas-at-25-0-c-occupies-a-volume-of-10-0-l-when-the-pressure-is-629-torr","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/a-fixed-amount-of-gas-at-25-0-c-occupies-a-volume-of-10-0-l-when-the-pressure-is-629-torr\/","title":{"rendered":"A fixed amount of gas at 25.0 \u00b0C occupies a volume of 10.0 L when the pressure is 629 torr"},"content":{"rendered":"\n<p>A fixed amount of gas at 25.0 \u00b0C occupies a volume of 10.0 L when the pressure is 629 torr.<br>Using Charles&#8217;s law, calculate the volume (L) the gas will occupy when the temperature is increased to 121 \u00b0C while maintaining the pressure at 629 torr.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve this problem, we use Charles&#8217;s Law, which states that for a fixed amount of gas at constant pressure, the volume of the gas is directly proportional to its temperature in Kelvin. Mathematically, Charles&#8217;s Law is given as:<\/p>\n\n\n\n<p>[<br>\\frac{V_1}{T_1} = \\frac{V_2}{T_2}<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( V_1 ) and ( V_2 ) are the initial and final volumes of the gas,<\/li>\n\n\n\n<li>( T_1 ) and ( T_2 ) are the initial and final temperatures in Kelvin.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert Temperatures to Kelvin<\/h3>\n\n\n\n<p>To use Charles&#8217;s Law, we need temperatures in Kelvin:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Initial temperature, ( T_1 = 25.0^\\circ \\text{C} + 273.15 = 298.15 \\, \\text{K} )<\/li>\n\n\n\n<li>Final temperature, ( T_2 = 121^\\circ \\text{C} + 273.15 = 394.15 \\, \\text{K} )<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Set up Charles&#8217;s Law<\/h3>\n\n\n\n<p>The initial volume ( V_1 ) is 10.0 L, and we want to find the final volume ( V_2 ) at the higher temperature while maintaining the same pressure (629 torr).<\/p>\n\n\n\n<p>Using Charles&#8217;s Law:<br>[<br>\\frac{10.0 \\, \\text{L}}{298.15 \\, \\text{K}} = \\frac{V_2}{394.15 \\, \\text{K}}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Solve for ( V_2 )<\/h3>\n\n\n\n<p>Rearrange to find ( V_2 ):<br>[<br>V_2 = \\frac{10.0 \\, \\text{L} \\times 394.15 \\, \\text{K}}{298.15 \\, \\text{K}}<br>]<\/p>\n\n\n\n<p>Calculating this:<br>[<br>V_2 \\approx 13.22 \\, \\text{L}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Charles&#8217;s Law helps us understand that when the temperature of a gas increases, the kinetic energy of gas particles also increases. This energy increase causes particles to move more rapidly, exerting greater force on the container&#8217;s walls, and the gas expands if pressure remains constant. Here, we increased the gas temperature from 25\u00b0C to 121\u00b0C, causing a corresponding increase in volume from 10.0 L to 13.22 L. By maintaining pressure constant and only changing temperature, Charles&#8217;s Law predicts this volume change in a predictable, linear relationship, as we observed with our calculation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A fixed amount of gas at 25.0 \u00b0C occupies a volume of 10.0 L when the pressure is 629 torr.Using Charles&#8217;s law, calculate the volume (L) the gas will occupy when the temperature is increased to 121 \u00b0C while maintaining the pressure at 629 torr. The Correct Answer and Explanation is : To solve this [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-160776","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160776","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=160776"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160776\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160776"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160776"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160776"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}