{"id":243132,"date":"2025-07-04T12:34:23","date_gmt":"2025-07-04T12:34:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=243132"},"modified":"2025-07-04T12:34:25","modified_gmt":"2025-07-04T12:34:25","slug":"calculate-the-mass-in-grams-of-3-78x1021-molecules-of-n2o5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/calculate-the-mass-in-grams-of-3-78x1021-molecules-of-n2o5\/","title":{"rendered":"Calculate the mass in grams of 3.78×10^21 molecules of N2O5"},"content":{"rendered":"\n

Calculate the mass in grams of 3.78×10^21 molecules of N2O5 (molar mass of N2O5 = 108.02 g\/mol)<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To calculate the mass of 3.78\u00d710213.78 \\times 10^{21}3.78\u00d71021 molecules of N2O5\\text{N}_2\\text{O}_5N2\u200bO5\u200b, we’ll follow these steps:<\/p>\n\n\n\n

Step 1: Convert the number of molecules to moles<\/h3>\n\n\n\n

We know that 1 mole of any substance contains Avogadro’s number of molecules, which is approximately 6.022\u00d710236.022 \\times 10^{23}6.022\u00d71023 molecules.<\/p>\n\n\n\n

To find the number of moles in 3.78\u00d710213.78 \\times 10^{21}3.78\u00d71021 molecules, use the formula:Moles=Number of moleculesAvogadro\u2019s number\\text{Moles} = \\frac{\\text{Number of molecules}}{\\text{Avogadro’s number}}Moles=Avogadro\u2019s numberNumber of molecules\u200b<\/p>\n\n\n\n

Substituting the values:Moles of N2O5=3.78\u00d710216.022\u00d71023=6.28\u00d710\u22123 mol\\text{Moles of } \\text{N}_2\\text{O}_5 = \\frac{3.78 \\times 10^{21}}{6.022 \\times 10^{23}} = 6.28 \\times 10^{-3} \\text{ mol}Moles of N2\u200bO5\u200b=6.022\u00d710233.78\u00d71021\u200b=6.28\u00d710\u22123 mol<\/p>\n\n\n\n

Step 2: Calculate the mass using the molar mass<\/h3>\n\n\n\n

We are given the molar mass of N2O5\\text{N}_2\\text{O}_5N2\u200bO5\u200b as 108.02 g\/mol. Now, to find the mass, we multiply the number of moles by the molar mass:Mass=Moles\u00d7Molar mass\\text{Mass} = \\text{Moles} \\times \\text{Molar mass}Mass=Moles\u00d7Molar mass<\/p>\n\n\n\n

Substituting the values:Mass=6.28\u00d710\u22123 mol\u00d7108.02 g\/mol\\text{Mass} = 6.28 \\times 10^{-3} \\text{ mol} \\times 108.02 \\text{ g\/mol}Mass=6.28\u00d710\u22123 mol\u00d7108.02 g\/molMass=0.679 g\\text{Mass} = 0.679 \\text{ g}Mass=0.679 g<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

The mass of 3.78\u00d710213.78 \\times 10^{21}3.78\u00d71021 molecules of N2O5\\text{N}_2\\text{O}_5N2\u200bO5\u200b is approximately 0.679 grams<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

The key concept in this calculation is the relationship between the number of molecules, moles, and molar mass. First, we convert the number of molecules to moles using Avogadro’s number. Then, knowing that 1 mole of a substance corresponds to its molar mass in grams, we calculate the total mass of the given molecules. This process is essential when working with molecular quantities and converting them to macroscopic measurements like grams.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Calculate the mass in grams of 3.78×10^21 molecules of N2O5 (molar mass of N2O5 = 108.02 g\/mol) The Correct Answer and Explanation is: To calculate the mass of 3.78\u00d710213.78 \\times 10^{21}3.78\u00d71021 molecules of N2O5\\text{N}_2\\text{O}_5N2\u200bO5\u200b, we’ll follow these steps: Step 1: Convert the number of molecules to moles We know that 1 mole of any substance […]<\/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-243132","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243132","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=243132"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/243132\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=243132"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=243132"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=243132"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}