{"id":182115,"date":"2025-01-13T10:30:39","date_gmt":"2025-01-13T10:30:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182115"},"modified":"2025-01-13T10:30:42","modified_gmt":"2025-01-13T10:30:42","slug":"the-specific-gravity-of-mercury-at-20-c-is-13-546","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/13\/the-specific-gravity-of-mercury-at-20-c-is-13-546\/","title":{"rendered":"The specific gravity of mercury at 20\u00b0 C is (13.546)"},"content":{"rendered":"\n<p>The specific gravity of mercury at 20\u00b0 C is (13.546). Calculate the density of mercury in (lb \/ft), and then calculate the volume in ft occupied by 215 kg of mercury.<\/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 density of mercury in lb\/ft\u00b3 and the volume occupied by 215 kg of mercury, let&#8217;s break the problem into two parts.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the density of mercury in lb\/ft\u00b3<\/h3>\n\n\n\n<p>The specific gravity (SG) of mercury is 13.546. Specific gravity is the ratio of the density of a substance to the density of water at a specified temperature (usually 4\u00b0C, where water&#8217;s density is 1 g\/cm\u00b3).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Formula for density<\/strong>: Density\u00a0(in\u00a0g\/cm\u00b3)=SG\u00d7Density\u00a0of\u00a0water\u00a0(in\u00a0g\/cm\u00b3)\\text{Density (in g\/cm\u00b3)} = \\text{SG} \\times \\text{Density of water (in g\/cm\u00b3)} Since the density of water is 1 g\/cm\u00b3, the density of mercury in g\/cm\u00b3 is simply the specific gravity: Density\u00a0of\u00a0mercury=13.546\u2009g\/cm\u00b3\\text{Density of mercury} = 13.546 \\, \\text{g\/cm\u00b3}<\/li>\n\n\n\n<li><strong>Convert density to lb\/ft\u00b3<\/strong>: 1 g\/cm\u00b3 = 62.43 lb\/ft\u00b3. To convert the density of mercury from g\/cm\u00b3 to lb\/ft\u00b3: Density\u00a0of\u00a0mercury\u00a0(in\u00a0lb\/ft\u00b3)=13.546\u2009g\/cm\u00b3\u00d762.43\u2009lb\/ft\u00b3=844.45\u2009lb\/ft\u00b3\\text{Density of mercury (in lb\/ft\u00b3)} = 13.546 \\, \\text{g\/cm\u00b3} \\times 62.43 \\, \\text{lb\/ft\u00b3} = 844.45 \\, \\text{lb\/ft\u00b3} So, the density of mercury is approximately <strong>844.45 lb\/ft\u00b3<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the volume occupied by 215 kg of mercury<\/h3>\n\n\n\n<p>Next, we calculate the volume occupied by 215 kg of mercury. We know the density of mercury in kg\/m\u00b3 and need to use the following formula for volume:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Convert mass from kg to lb<\/strong>: 215\u2009kg\u00d72.20462=474.99\u2009lb215 \\, \\text{kg} \\times 2.20462 = 474.99 \\, \\text{lb}<\/li>\n\n\n\n<li><strong>Use the formula for volume<\/strong>: Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}} Volume=474.99\u2009lb844.45\u2009lb\/ft\u00b3=0.562\u2009ft\u00b3\\text{Volume} = \\frac{474.99 \\, \\text{lb}}{844.45 \\, \\text{lb\/ft\u00b3}} = 0.562 \\, \\text{ft\u00b3}<\/li>\n<\/ul>\n\n\n\n<p>Thus, the volume occupied by 215 kg of mercury is approximately <strong>0.562 ft\u00b3<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The density of mercury is <strong>844.45 lb\/ft\u00b3<\/strong>.<\/li>\n\n\n\n<li>The volume occupied by 215 kg of mercury is approximately <strong>0.562 ft\u00b3<\/strong>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The specific gravity of mercury at 20\u00b0 C is (13.546). Calculate the density of mercury in (lb \/ft), and then calculate the volume in ft occupied by 215 kg of mercury. The Correct Answer and Explanation is : To calculate the density of mercury in lb\/ft\u00b3 and the volume occupied by 215 kg of mercury, [&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-182115","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182115","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=182115"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182115\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182115"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182115"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}