{"id":5965,"date":"2020-10-13T12:09:08","date_gmt":"2020-10-13T06:39:08","guid":{"rendered":"http:\/\/astan.lk\/al_virtualclassroom\/?p=5965"},"modified":"2020-10-13T12:09:27","modified_gmt":"2020-10-13T06:39:27","slug":"ideal-gas-model","status":"publish","type":"post","link":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/","title":{"rendered":"Ideal gas model"},"content":{"rendered":"<p>The temperature, pressure, volume and the amount (moles) of substance of a gas are the factors that affect the behaviour of a gas.The ideal gas equation can be described as a relationship of the above four variables regarding a gas.<\/p>\n<p><strong> PV = nRT<\/strong> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0The constant R = 8.314 J K<sup>-1<\/sup> mol<sup>-1<\/sup> \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2022 Any gas which obeys the above relationship under any given temperature and pressure is referred as an ideal gas.<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Derivation of Boyle law from the ideal gas equation PV= nRT<\/strong><\/span><\/p>\n<p>For a fixed mass of gas at constant temperature the product nT is constant. As R is constant \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 nRT = k (a constant)<\/p>\n<p><strong> \u00a0 PV = k<\/strong><\/p>\n<p><strong>That is the pressure of a fixed mass of gas at constant temperature is inversely proportional to the volume of the gas (Boyle Law).<\/strong><\/p>\n<p><strong><span style=\"text-decoration: underline;\">Derivation of Charles law from the ideal gas equation<\/span><\/strong><\/p>\n<p><a href=\"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/cl.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8469\" src=\"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/cl.png\" alt=\"cl\" width=\"585\" height=\"217\" \/><\/a><\/p>\n<p><strong><span style=\"text-decoration: underline;\">Derivation of Avogadro&#8217;s law from the ideal gas equation<\/span><\/strong><\/p>\n<p><a href=\"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/Untitled-1-9.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-8474\" src=\"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/Untitled-1-9.png\" alt=\"Untitled-1\" width=\"612\" height=\"395\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"text-decoration: underline;\"><strong>\u2022 Molar volume<\/strong><\/span><\/p>\n<p>The molar volume of a gas is the volume of one mole of gas. Molar volume of a gas varies with temperature and pressure. Volume of one mole of a gas at 0 \u00b0C and 1 atm is defined as the molar volume of a gas at standard temperature and pressure.<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Alternative forms of ideal gas equation<\/span><\/strong><\/p>\n<p>PV = nRT<\/p>\n<p><strong>PV = (w\/M)RT<\/strong><\/p>\n<p><strong>PM = (w\/V) RT \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 PM = dRT \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 where d- density<\/strong><\/p>\n<p><strong>P = (n\/V)RT \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 P = cRT<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The temperature, pressure, volume and the amount (moles) of substance of a gas are the factors that affect the behaviour of a gas.The ideal gas equation can be described as a relationship of the above four variables regarding a gas. PV = nRT \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [&hellip;]<\/p>\n","protected":false},"author":842,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[14,1658],"tags":[],"class_list":["post-5965","post","type-post","status-publish","format-standard","hentry","category-chemistry","category-unit-04"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Ideal gas model - Learning &amp; Education Portal<\/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:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ideal gas model - Learning &amp; Education Portal\" \/>\n<meta property=\"og:description\" content=\"The temperature, pressure, volume and the amount (moles) of substance of a gas are the factors that affect the behaviour of a gas.The ideal gas equation can be described as a relationship of the above four variables regarding a gas. 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PV = nRT \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [&hellip;]","og_url":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/","og_site_name":"Learning &amp; Education Portal","article_published_time":"2020-10-13T06:39:08+00:00","article_modified_time":"2020-10-13T06:39:27+00:00","og_image":[{"url":"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/cl.png","type":"","width":"","height":""}],"author":"Admin","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Admin","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/#article","isPartOf":{"@id":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/"},"author":{"name":"Admin","@id":"https:\/\/astan.lk\/al_virtualclassroom\/#\/schema\/person\/ffb0504e2cfb71518790b2fffd668c59"},"headline":"Ideal gas model","datePublished":"2020-10-13T06:39:08+00:00","dateModified":"2020-10-13T06:39:27+00:00","mainEntityOfPage":{"@id":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/"},"wordCount":228,"commentCount":0,"publisher":{"@id":"https:\/\/astan.lk\/al_virtualclassroom\/#organization"},"image":{"@id":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/#primaryimage"},"thumbnailUrl":"http:\/\/astan.lk\/al_virtualclassroom\/wp-content\/uploads\/2017\/01\/cl.png","articleSection":["Chemistry","Unit 04"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/","url":"https:\/\/astan.lk\/al_virtualclassroom\/ideal-gas-model\/","name":"Ideal gas model - Learning &amp; 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