{"id":222476,"date":"2025-05-31T11:06:09","date_gmt":"2025-05-31T11:06:09","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=222476"},"modified":"2025-05-31T11:06:11","modified_gmt":"2025-05-31T11:06:11","slug":"calculate-the-formula-mass-of-sodium-carbonate-decahydrate-na2co3%c2%b710h2o-in-atomic-mass-units-amu-or-u","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/31\/calculate-the-formula-mass-of-sodium-carbonate-decahydrate-na2co3%c2%b710h2o-in-atomic-mass-units-amu-or-u\/","title":{"rendered":"Calculate the formula mass of sodium carbonate decahydrate, Na2CO3\u00b710H2O, in atomic mass units (amu or u)."},"content":{"rendered":"\n<p>Calculate the formula mass of sodium carbonate decahydrate, Na2CO3\u00b710H2O, in atomic mass units (amu or u).<\/p>\n\n\n\n<p>formula mass:<\/p>\n\n\n\n<p>amu<\/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<h3 class=\"wp-block-heading\"><strong>Formula Mass of Sodium Carbonate Decahydrate (Na\u2082CO\u2083\u00b710H\u2082O)<\/strong><\/h3>\n\n\n\n<p>To calculate the formula mass (also called molecular weight or molar mass) of <strong>sodium carbonate decahydrate<\/strong>, we sum the atomic masses of all the atoms in its chemical formula:<\/p>\n\n\n\n<p><strong>Chemical Formula:<\/strong> Na\u2082CO\u2083\u00b710H\u2082O<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Atomic Masses (rounded to 2 decimal places)<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sodium (Na) = 22.99 u<\/li>\n\n\n\n<li>Carbon (C) = 12.01 u<\/li>\n\n\n\n<li>Oxygen (O) = 16.00 u<\/li>\n\n\n\n<li>Hydrogen (H) = 1.008 u<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Count the atoms in the compound<\/h4>\n\n\n\n<p><strong>Na\u2082CO\u2083:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 Sodium (Na): 2 \u00d7 22.99 = 45.98 u<\/li>\n\n\n\n<li>1 Carbon (C): 1 \u00d7 12.01 = 12.01 u<\/li>\n\n\n\n<li>3 Oxygen (O): 3 \u00d7 16.00 = 48.00 u<\/li>\n<\/ul>\n\n\n\n<p><strong>10H\u2082O (10 Water molecules):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>10 \u00d7 (2 Hydrogen + 1 Oxygen) =<\/li>\n\n\n\n<li>Hydrogen: 10 \u00d7 2 \u00d7 1.008 = 20.16 u<\/li>\n\n\n\n<li>Oxygen: 10 \u00d7 16.00 = 160.00 u<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Add all the components together<\/h4>\n\n\n\n<p>Total&nbsp;formula&nbsp;mass=45.98+12.01+48.00+20.16+160.00=286.15&nbsp;amu\\text{Total formula mass} = 45.98 + 12.01 + 48.00 + 20.16 + 160.00 = \\boxed{286.15\\ \\text{amu}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>The formula mass of a compound, also known as the molecular weight, is the sum of the average atomic masses of all the atoms present in its chemical formula, expressed in atomic mass units (amu or u). In this case, the compound is <strong>sodium carbonate decahydrate (Na\u2082CO\u2083\u00b710H\u2082O)<\/strong>, which means it contains the regular sodium carbonate unit plus ten water molecules as waters of hydration.<\/p>\n\n\n\n<p>First, we calculate the contribution of each element. Sodium carbonate (Na\u2082CO\u2083) consists of two sodium atoms, one carbon atom, and three oxygen atoms. The atomic masses are taken from the periodic table: sodium (22.99 u), carbon (12.01 u), and oxygen (16.00 u). Summing these gives the mass of the anhydrous salt.<\/p>\n\n\n\n<p>Next, we account for the ten water molecules. Each water molecule consists of two hydrogen atoms and one oxygen atom. Multiply the number of each type of atom by their respective atomic masses and then by 10 (for ten molecules), and add the result to the previous subtotal.<\/p>\n\n\n\n<p>The total formula mass combines the contributions from both the salt and the water. This gives a final value of <strong>286.15 amu<\/strong>. This value is crucial in chemistry when determining how much of this compound is needed in a reaction, particularly in stoichiometric calculations and when preparing solutions.<\/p>\n\n\n\n<p>Understanding formula mass also helps in interpreting chemical equations, as it allows conversion between moles and grams, and it is essential for lab-scale calculations and industrial chemistry.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner7-164.jpeg\" alt=\"\" class=\"wp-image-222477\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the formula mass of sodium carbonate decahydrate, Na2CO3\u00b710H2O, in atomic mass units (amu or u). formula mass: amu The Correct Answer and Explanation is: Formula Mass of Sodium Carbonate Decahydrate (Na\u2082CO\u2083\u00b710H\u2082O) To calculate the formula mass (also called molecular weight or molar mass) of sodium carbonate decahydrate, we sum the atomic masses of all [&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 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