{"id":197791,"date":"2025-03-07T16:25:11","date_gmt":"2025-03-07T16:25:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=197791"},"modified":"2025-03-07T16:25:13","modified_gmt":"2025-03-07T16:25:13","slug":"for-the-reaction-represented-by-the-equation-so3h2o-h22so4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/07\/for-the-reaction-represented-by-the-equation-so3h2o-h22so4\/","title":{"rendered":"For the reaction represented by the equation SO3+H2O&#8211;>H22SO4"},"content":{"rendered":"\n<p>For the reaction represented by the equation SO3+H2O&#8211;>H22SO4 how many grams of sulfuric acid (H22SO4) can be produced from 197 g of water and 460g of sulfer trioxide?<\/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 determine how many grams of sulfuric acid (H\u2082SO\u2084) can be produced from the given amounts of water (H\u2082O) and sulfur trioxide (SO\u2083), we need to follow the steps of stoichiometry. Let&#8217;s break it down step-by-step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>Write the balanced chemical equation:<\/strong><\/h3>\n\n\n\n<p>The balanced equation for the reaction is:<\/p>\n\n\n\n<p>[<br>SO_3 + H_2O \\rightarrow H_2SO_4<br>]<\/p>\n\n\n\n<p>This indicates that one mole of sulfur trioxide (SO\u2083) reacts with one mole of water (H\u2082O) to produce one mole of sulfuric acid (H\u2082SO\u2084).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>Calculate the molar masses of the substances involved:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Molar mass of H\u2082O<\/strong>:<br>H\u2082O consists of 2 hydrogen atoms and 1 oxygen atom.<br>Molar mass of H\u2082O = (2 \u00d7 1) + (1 \u00d7 16) = 18 g\/mol.<\/li>\n\n\n\n<li><strong>Molar mass of SO\u2083<\/strong>:<br>SO\u2083 consists of 1 sulfur atom and 3 oxygen atoms.<br>Molar mass of SO\u2083 = (1 \u00d7 32) + (3 \u00d7 16) = 80 g\/mol.<\/li>\n\n\n\n<li><strong>Molar mass of H\u2082SO\u2084<\/strong>:<br>H\u2082SO\u2084 consists of 2 hydrogen atoms, 1 sulfur atom, and 4 oxygen atoms.<br>Molar mass of H\u2082SO\u2084 = (2 \u00d7 1) + (1 \u00d7 32) + (4 \u00d7 16) = 98 g\/mol.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>Determine the limiting reactant:<\/strong><\/h3>\n\n\n\n<p>We are given 197 g of water (H\u2082O) and 460 g of sulfur trioxide (SO\u2083). Let&#8217;s calculate how many moles of each reactant we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Moles of H\u2082O:<br>[<br>\\text{Moles of H\u2082O} = \\frac{\\text{Mass of H\u2082O}}{\\text{Molar mass of H\u2082O}} = \\frac{197 \\, \\text{g}}{18 \\, \\text{g\/mol}} = 10.94 \\, \\text{mol}<br>]<\/li>\n\n\n\n<li>Moles of SO\u2083:<br>[<br>\\text{Moles of SO\u2083} = \\frac{\\text{Mass of SO\u2083}}{\\text{Molar mass of SO\u2083}} = \\frac{460 \\, \\text{g}}{80 \\, \\text{g\/mol}} = 5.75 \\, \\text{mol}<br>]<\/li>\n<\/ul>\n\n\n\n<p>From the balanced equation, we see that the stoichiometric ratio between SO\u2083 and H\u2082O is 1:1, so we need an equal number of moles of both reactants. Since we have fewer moles of SO\u2083 (5.75 mol) than H\u2082O (10.94 mol), <strong>SO\u2083<\/strong> is the limiting reactant.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. <strong>Calculate the moles of H\u2082SO\u2084 produced:<\/strong><\/h3>\n\n\n\n<p>Since SO\u2083 is the limiting reactant and the stoichiometric ratio is 1:1 (1 mole of SO\u2083 produces 1 mole of H\u2082SO\u2084), we will produce 5.75 moles of H\u2082SO\u2084.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. <strong>Convert moles of H\u2082SO\u2084 to grams:<\/strong><\/h3>\n\n\n\n<p>Now, to find the mass of sulfuric acid produced, we multiply the moles of H\u2082SO\u2084 by its molar mass:<\/p>\n\n\n\n<p>[<br>\\text{Mass of H\u2082SO\u2084} = \\text{Moles of H\u2082SO\u2084} \\times \\text{Molar mass of H\u2082SO\u2084}<br>]<\/p>\n\n\n\n<p>[<br>\\text{Mass of H\u2082SO\u2084} = 5.75 \\, \\text{mol} \\times 98 \\, \\text{g\/mol} = 563.5 \\, \\text{g}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The maximum amount of sulfuric acid (H\u2082SO\u2084) that can be produced from 197 g of water and 460 g of sulfur trioxide is <strong>563.5 grams<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>We first determined the molar amounts of water and sulfur trioxide.<\/li>\n\n\n\n<li>We identified sulfur trioxide (SO\u2083) as the limiting reactant since there were fewer moles of SO\u2083 compared to water.<\/li>\n\n\n\n<li>Using the limiting reactant, we calculated the moles of H\u2082SO\u2084 that can be produced and converted that into grams.<br>This gives us the final mass of sulfuric acid, which is 563.5 grams.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>For the reaction represented by the equation SO3+H2O&#8211;>H22SO4 how many grams of sulfuric acid (H22SO4) can be produced from 197 g of water and 460g of sulfer trioxide? The correct answer and explanation is : To determine how many grams of sulfuric acid (H\u2082SO\u2084) can be produced from the given amounts of water (H\u2082O) and [&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-197791","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197791","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=197791"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/197791\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=197791"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=197791"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=197791"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}