{"id":255864,"date":"2025-07-13T10:38:11","date_gmt":"2025-07-13T10:38:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=255864"},"modified":"2025-07-13T10:38:14","modified_gmt":"2025-07-13T10:38:14","slug":"at-equilibrium-3-00-mol-of-hi-gas-are-found","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/13\/at-equilibrium-3-00-mol-of-hi-gas-are-found\/","title":{"rendered":"At equilibrium, 3.00 mol of HI gas are found."},"content":{"rendered":"\n<p>At equilibrium, 3.00 mol of HI gas are found. How many moles of H2 and I2 are present at equilibrium? (Give your answer to two decimal places.)<br>For the reaction, H2 + I2 &lt;&#8212;-&gt; 2HI the initial mixture contains 6.50 mol H2, 8.30 mol I2, and no moles of HI. At equilibrium, 3.00 mol of HI gas are found. How many moles of H2 and I2 are present at equilibrium? (Give your answer to two decimal places.)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve this equilibrium problem, we&#8217;ll use an <strong>ICE table<\/strong> (Initial, Change, Equilibrium) to track the changes in the amounts of reactants and products as the reaction proceeds.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Write the balanced chemical equation<\/h3>\n\n\n\n<p>H2(g)+I2(g)\u21cc2HI(g)H_2(g) + I_2(g) \\rightleftharpoons 2HI(g)H2\u200b(g)+I2\u200b(g)\u21cc2HI(g)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Define initial moles and changes<\/h3>\n\n\n\n<p>From the problem, we know the initial moles and the amount of HI at equilibrium.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Initial moles<\/strong>:\n<ul class=\"wp-block-list\">\n<li>H2 = 6.50 mol<\/li>\n\n\n\n<li>I2 = 8.30 mol<\/li>\n\n\n\n<li>HI = 0 mol<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>At equilibrium<\/strong>:\n<ul class=\"wp-block-list\">\n<li>HI = 3.00 mol<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Set up the ICE table<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th><\/th><th>H2 (mol)<\/th><th>I2 (mol)<\/th><th>HI (mol)<\/th><\/tr><\/thead><tbody><tr><td>Initial<\/td><td>6.50<\/td><td>8.30<\/td><td>0<\/td><\/tr><tr><td>Change<\/td><td>-x<\/td><td>-x<\/td><td>+2x<\/td><\/tr><tr><td>Equilibrium<\/td><td>6.50 &#8211; x<\/td><td>8.30 &#8211; x<\/td><td>3.00<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Use the equilibrium concentration of HI to find x<\/h3>\n\n\n\n<p>Since 2 moles of HI are produced for every 1 mole of H2 and I2 that react, the change in moles of HI will be <strong>2x<\/strong>. At equilibrium, 3.00 mol of HI is present, so we can set up the equation:2x=3.00\u2009mol2x = 3.00 \\, \\text{mol}2x=3.00mol<\/p>\n\n\n\n<p>Solving for xxx:x=3.002=1.50\u2009molx = \\frac{3.00}{2} = 1.50 \\, \\text{mol}x=23.00\u200b=1.50mol<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Calculate the equilibrium amounts of H2 and I2<\/h3>\n\n\n\n<p>Now that we know x=1.50x = 1.50x=1.50 mol, we can substitute this into the expressions for the equilibrium amounts of H2 and I2.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>H2 at equilibrium<\/strong>: 6.50\u22121.50=5.00\u2009mol6.50 &#8211; 1.50 = 5.00 \\, \\text{mol}6.50\u22121.50=5.00mol<\/li>\n\n\n\n<li><strong>I2 at equilibrium<\/strong>: 8.30\u22121.50=6.80\u2009mol8.30 &#8211; 1.50 = 6.80 \\, \\text{mol}8.30\u22121.50=6.80mol<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>At equilibrium, the moles of each substance are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>H2<\/strong>: 5.00 mol<\/li>\n\n\n\n<li><strong>I2<\/strong>: 6.80 mol<\/li>\n\n\n\n<li><strong>HI<\/strong>: 3.00 mol (given in the problem)<\/li>\n<\/ul>\n\n\n\n<p>Thus, the number of moles of H2 and I2 at equilibrium are <strong>5.00 mol<\/strong> and <strong>6.80 mol<\/strong>, respectively.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-511.jpeg\" alt=\"\" class=\"wp-image-255865\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>At equilibrium, 3.00 mol of HI gas are found. How many moles of H2 and I2 are present at equilibrium? (Give your answer to two decimal places.)For the reaction, H2 + I2 &lt;&#8212;-&gt; 2HI the initial mixture contains 6.50 mol H2, 8.30 mol I2, and no moles of HI. At equilibrium, 3.00 mol of HI [&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-255864","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255864","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=255864"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/255864\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=255864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=255864"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=255864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}