{"id":11533,"date":"2020-11-30T09:25:18","date_gmt":"2020-11-30T03:55:18","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=11533"},"modified":"2020-11-30T10:43:28","modified_gmt":"2020-11-30T05:13:28","slug":"molar-volume-gas-stp","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/molar-volume-gas-stp\/","title":{"rendered":"What is the Molar Volume of a Gas at STP?"},"content":{"rendered":"<h2>What is the Molar Volume of a Gas at STP?<\/h2>\n<h2>The Mole and the Volume of Gas<\/h2>\n<ol>\n<li>It is rather tricky to find the number of moles of a gas by weighing its mass. Chemists determine the number of moles of any <strong>gas<\/strong> by measuring its volume. However, this cannot be done for solids and liquids.<\/li>\n<li>It is found that under the same temperature and pressure, equal volumes of all gases contain the same number of particles. Therefore, chemists introduced the concept of molar volume.<\/li>\n<li><strong>Molar volume<\/strong> of a gas is defined as the volume of one mole of the gas.<\/li>\n<li>Thus, the molar volume is also the volume occupied by 6.02 x 10<sup>23<\/sup> particles of gas.<\/li>\n<li>The molar volume of any gas is 22.4 dm<sup>3<\/sup> mol<sup>-1<\/sup> at STP or 24 dm<sup>3<\/sup> mol<sup>-1<\/sup> at room conditions.<br \/>\n<strong>Note:<\/strong> STP refers to <strong>standard temperature<\/strong> of 0\u00b0C and pressure of 1 atmosphere. Room conditions refer to the temperature of 25\u00b0C and the pressure of 1 atmosphere.<\/li>\n<li>This means that one mole of any gas occupies the same volume at STP, which is 22.4 dm<sup>3<\/sup>. Under room conditions, one mole of any gas occupies 24 dm<sup>3<\/sup>.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108796 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-1.jpg\" alt=\"What is the Molar Volume of a Gas at STP 1\" width=\"399\" height=\"162\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-1.jpg 399w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-1-300x122.jpg 300w\" sizes=\"(max-width: 399px) 100vw, 399px\" \/> Figure above\u00a0Each of these balloons contains 6.02 x 10<sup>23<\/sup> gas molecules.<\/li>\n<li>The following relationship shows how the volume of a gas can be converted to the number of moles and vice versa.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108797 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-2.jpg\" alt=\"What is the Molar Volume of a Gas at STP 2\" width=\"443\" height=\"89\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-2.jpg 443w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-2-300x60.jpg 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/li>\n<li>In calculations, make sure that the volume of gas and the molar volume are of the same unit, that is, both are in cm<sup>3<\/sup> or both are in dm<sup>3<\/sup>. Remember, <strong>1 dm<sup>3<\/sup> = 1000 cm<sup>3<\/sup><\/strong><\/li>\n<\/ol>\n<p><strong>People also ask<\/strong><\/p>\n<ul>\n<li><span style=\"font-weight: 400;\"><a href=\"https:\/\/cbselibrary.com\/relative-atomic-mass-relative-molecular-mass-element\/\">What is the Relative Atomic Mass and Relative Molecular Mass of an Element?<\/a><\/span><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/one-mole-particles-in-mole\/\"><span style=\"font-weight: 400;\">What is One Mole and How many Particles are in a Mole?<\/span><\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/calculate-molar-mass-substance\/\">How do you Calculate the Molar Mass of a Substance?<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/order-elements-chemical-formula\/\">How do you know the Order of Elements in a Chemical Formula<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/empirical-and-molecular-formula\/\">What is Empirical and Molecular Formula?<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/chemical-equations\/\">How do you Write a Chemical Equation?<\/a><\/li>\n<\/ul>\n<h2>The Mole and the Volume of Gas Problems with Solutions<\/h2>\n<p><strong>1. What is the volume of 0.4 mole of carbon dioxide gas at STP?<\/strong><br \/>\n<strong>[Molar volume: 22.4 dm<sup>3<\/sup> mol<sup>-1<\/sup> at STP]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\nGiven the number of moles of carbon dioxide, CO<sub>2<\/sub> = 0.4 mol<br \/>\nTherefore, the volume of CO<sub>2<\/sub> = number of moles of CO<sub>2<\/sub> x molar volume at STP<br \/>\n= 0.4 x 22.4 dm<sup>3<\/sup> = 8.96 dm<sup>3<\/sup><\/p>\n<p><strong>2. Find the number of moles of ammonia gas contained in a sample of 60 cm<sup>3<\/sup> of the gas at room conditions. [Molar volume: 24 dm<sup>3<\/sup> mol<sup>-1<\/sup> at room conditions]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108798\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-3.jpg\" alt=\"What is the Molar Volume of a Gas at STP 3\" width=\"470\" height=\"325\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-3.jpg 470w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-3-300x207.jpg 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><\/p>\n<h2>The Relationship\u00a0Between Mole, Number of particles, Mass and Volume<\/h2>\n<p>The following shows the relationships between the number of moles, number of particles, mass and volume of gases.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108800 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-4.jpg\" alt=\"What is the Molar Volume of a Gas at STP 4\" width=\"495\" height=\"262\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-4.jpg 495w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-4-300x159.jpg 300w\" sizes=\"(max-width: 495px) 100vw, 495px\" \/><\/p>\n<p>In most calculations, we first convert other quantities such as the number of particles, mass or volume to the number of moles (refer to Table).<br \/>\n<strong>Table: Summary of steps in calculations involving the number of moles<\/strong><\/p>\n<table style=\"height: 151px;\" border=\"2\" width=\"670\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"116\"><strong>Conversion<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"173\"><strong>Steps<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"116\">From mass to volume<\/td>\n<td style=\"text-align: center;\" width=\"173\">Mass \u2192 number of moles \u2192 volume<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"116\">From volume to mass<\/td>\n<td style=\"text-align: center;\" width=\"173\">Volume \u2192 number of moles \u2192 mass<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"116\">From volume to number of particles<\/td>\n<td style=\"text-align: center;\" width=\"173\">Volume \u2192 number of moles \u2192 number of particles<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"116\">From number of particles to volume<\/td>\n<td style=\"text-align: center;\" width=\"173\">Number of particles \u2192 number of moles \u2192 volume<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>The Relationship\u00a0Between Mole, Number of particles, Mass and Volume\u00a0Problems with Solutions<\/h2>\n<p><strong>1. What is the volume of 12 g of methane at STP? <\/strong><br \/>\n<strong>[Relative atomic mass: H, 1; C, 12. Molar volume: 22.4 dm<sup>3<\/sup> mol<sup>-1<\/sup> at STP]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108801\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-5.jpg\" alt=\"What is the Molar Volume of a Gas at STP 5\" width=\"442\" height=\"271\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-5.jpg 442w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-5-300x184.jpg 300w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><\/p>\n<p><strong>2. A sample of 120 cm<sup>3<\/sup> of carbon dioxide is collected at room conditions in an experiment. Calculate the mass of the sample of carbon dioxide.<\/strong><br \/>\n<strong>[Relative atomic mass: C, 12; O, 16. Molar volume: 24 dm<sup>3<\/sup> mol<sup>-1<\/sup> at room conditions]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\nGiven the volume of carbon dioxide, CO<sub>2<\/sub>\u00a0= 120 cm<sup>3<\/sup> = 120\/1000 dm<sup>3<\/sup> = 0.12 dm<sup>3<\/sup><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108802\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-6.jpg\" alt=\"What is the Molar Volume of a Gas at STP 6\" width=\"334\" height=\"176\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-6.jpg 334w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-6-300x158.jpg 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><br \/>\nTherefore, the mass of CO<sub>2<\/sub> = number of moles of CO<sub>2<\/sub> \u00d7 molar mass of CO<sub>2<\/sub>\u00a0= 0.005 \u00d7 [12 + 2(16)]<br \/>\n= 0.005 \u00d7 44<br \/>\n= 0.22 g<\/p>\n<p><strong>3. How many hydrogen molecules are there in 6 dm<sup>3<\/sup> of hydrogen gas at room conditions? [Molar volume: 24 dm<sup>3<\/sup> mol<sup>-1<\/sup> at room conditions. Avogadro constant, NA: 6.02 \u00d7 10<sup>23<\/sup>\u00a0mol<sup>-1<\/sup>]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108803\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-7.jpg\" alt=\"What is the Molar Volume of a Gas at STP 7\" width=\"422\" height=\"281\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-7.jpg 422w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-7-300x200.jpg 300w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><\/p>\n<p><strong>4. Find the volume of nitrogen gas in cm<sup>3<\/sup> at STP that consists of 2.408 \u00d7 10<sup>23<\/sup> nitrogen molecules. [Molar volume: 22.4 dm<sup>3<\/sup> mol<sup>-1<\/sup> at STP. Avogadro constant, Na: 6.02 \u00d7 10<sup>23<\/sup> mol<sup>-1<\/sup>]<\/strong><br \/>\n<strong>Solution:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-108805\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-8.jpg\" alt=\"What is the Molar Volume of a Gas at STP 8\" width=\"364\" height=\"303\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-8.jpg 364w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2017\/03\/What-is-the-Molar-Volume-of-a-Gas-at-STP-8-300x250.jpg 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the Molar Volume of a Gas at STP? The Mole and the Volume of Gas It is rather tricky to find the number of moles of a gas by weighing its mass. Chemists determine the number of moles of any gas by measuring its volume. However, this cannot be done for solids and &#8230; <a title=\"What is the Molar Volume of a Gas at STP?\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/molar-volume-gas-stp\/\" aria-label=\"More on What is the Molar Volume of a Gas at STP?\">Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[84],"tags":[4301,4303,4302],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the Molar Volume of a Gas at STP? - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/molar-volume-gas-stp\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Molar Volume of a Gas at STP?\" \/>\n<meta property=\"og:description\" content=\"What is the Molar Volume of a Gas at STP? 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The Mole and the Volume of Gas It is rather tricky to find the number of moles of a gas by weighing its mass. Chemists determine the number of moles of any gas by measuring its volume. However, this cannot be done for solids and ... 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