{"id":163779,"date":"2024-11-09T06:35:49","date_gmt":"2024-11-09T06:35:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163779"},"modified":"2024-11-09T06:35:52","modified_gmt":"2024-11-09T06:35:52","slug":"calculate-the-molar-mass-of-magnesium-sulfate-heptahydrate","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/09\/calculate-the-molar-mass-of-magnesium-sulfate-heptahydrate\/","title":{"rendered":"Calculate the molar mass of magnesium sulfate heptahydrate"},"content":{"rendered":"\n<p>Calculate the molar mass of magnesium sulfate heptahydrate, mgso4\u00b77h2o.<\/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 calculate the molar mass of magnesium sulfate heptahydrate (MgSO\u2084\u00b77H\u2082O), we need to sum up the atomic masses of all the elements in the formula, including those of magnesium sulfate (MgSO\u2084) and the seven water molecules (7H\u2082O).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Atomic Masses<\/h3>\n\n\n\n<p>Here are the atomic masses of the elements involved:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Magnesium (Mg) = 24.305 g\/mol<\/li>\n\n\n\n<li>Sulfur (S) = 32.065 g\/mol<\/li>\n\n\n\n<li>Oxygen (O) = 16.00 g\/mol<\/li>\n\n\n\n<li>Hydrogen (H) = 1.008 g\/mol<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Break down the formula<\/h3>\n\n\n\n<p>The formula for magnesium sulfate heptahydrate is MgSO\u2084\u00b77H\u2082O, which consists of:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>One magnesium atom (Mg)<\/li>\n\n\n\n<li>One sulfur atom (S)<\/li>\n\n\n\n<li>Four oxygen atoms in the sulfate part (SO\u2084)<\/li>\n\n\n\n<li>Seven water molecules (7H\u2082O), where each water molecule consists of two hydrogen atoms and one oxygen atom.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Molar Mass of MgSO\u2084<\/h3>\n\n\n\n<p>Now, we can calculate the molar mass of MgSO\u2084:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mg = 1 \u00d7 24.305 = 24.305 g\/mol<\/li>\n\n\n\n<li>S = 1 \u00d7 32.065 = 32.065 g\/mol<\/li>\n\n\n\n<li>O (from SO\u2084) = 4 \u00d7 16.00 = 64.00 g\/mol<\/li>\n<\/ul>\n\n\n\n<p>So, the molar mass of MgSO\u2084 is:<br>[<br>24.305 + 32.065 + 64.00 = 120.37 \\, \\text{g\/mol}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Molar Mass of 7H\u2082O<\/h3>\n\n\n\n<p>Next, calculate the molar mass of 7 water molecules (7H\u2082O):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>H = 2 \u00d7 1.008 = 2.016 g\/mol (per water molecule)<\/li>\n\n\n\n<li>O = 1 \u00d7 16.00 = 16.00 g\/mol (per water molecule)<\/li>\n<\/ul>\n\n\n\n<p>So, the molar mass of one water molecule is:<br>[<br>2.016 + 16.00 = 18.016 \\, \\text{g\/mol}<br>]<br>For 7 water molecules, the total mass is:<br>[<br>7 \u00d7 18.016 = 126.112 \\, \\text{g\/mol}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Total Molar Mass of MgSO\u2084\u00b77H\u2082O<\/h3>\n\n\n\n<p>Finally, the total molar mass of magnesium sulfate heptahydrate is the sum of the molar masses of MgSO\u2084 and 7H\u2082O:<br>[<br>120.37 + 126.112 = 246.482 \\, \\text{g\/mol}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The molar mass of magnesium sulfate heptahydrate (MgSO\u2084\u00b77H\u2082O) is <strong>246.48 g\/mol<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>This calculation involves adding together the individual atomic masses of magnesium, sulfur, oxygen, and hydrogen, considering their respective counts in the formula. The molecular structure of MgSO\u2084\u00b77H\u2082O is made up of one magnesium sulfate unit (MgSO\u2084) and seven water molecules (7H\u2082O), with the water contributing significantly to the total molar mass due to its mass being calculated for seven molecules instead of just one. The process of summing the molar masses of these components leads us to the final answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the molar mass of magnesium sulfate heptahydrate, mgso4\u00b77h2o. The Correct Answer and Explanation is : To calculate the molar mass of magnesium sulfate heptahydrate (MgSO\u2084\u00b77H\u2082O), we need to sum up the atomic masses of all the elements in the formula, including those of magnesium sulfate (MgSO\u2084) and the seven water molecules (7H\u2082O). Step 1: [&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-163779","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163779","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=163779"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163779\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163779"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163779"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163779"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}