{"id":251935,"date":"2025-07-11T04:08:16","date_gmt":"2025-07-11T04:08:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=251935"},"modified":"2025-07-11T04:08:18","modified_gmt":"2025-07-11T04:08:18","slug":"the-density-of-liquid-mercury-is-13-6-g-ml","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/11\/the-density-of-liquid-mercury-is-13-6-g-ml\/","title":{"rendered":"The density of liquid mercury is 13.6 g\/mL"},"content":{"rendered":"\n<p>The density of liquid mercury is 13.6 g\/mL. What is its density in units of ? (2.54 cm = 1 in., 2.205 lb = 1 kg)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert the density of liquid mercury from grams per milliliter (g\/mL) to pounds per cubic inch (lb\/in\u00b3), we need to use unit conversion factors.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given Data:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Density of liquid mercury = 13.6 g\/mL<\/li>\n\n\n\n<li>Conversion factors:\n<ul class=\"wp-block-list\">\n<li>1 inch = 2.54 cm<\/li>\n\n\n\n<li>1 pound = 2.205 kg<\/li>\n\n\n\n<li>1 kilogram = 1000 grams<\/li>\n\n\n\n<li>1 mL = 1 cm\u00b3 (since 1 mL is equivalent to 1 cubic centimeter)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Convert grams to pounds<\/h3>\n\n\n\n<p>We know that 1 kg = 1000 grams and 1 pound = 2.205 kg. First, let&#8217;s convert grams to pounds using these factors:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 gram = 1\/1000 kg<\/li>\n\n\n\n<li>1 kg = 2.205 pounds<br>Therefore, the conversion factor from grams to pounds is:<\/li>\n<\/ul>\n\n\n\n<p>11000\u00d72.205=0.002205&nbsp;lb\/gram\\frac{1}{1000} \\times 2.205 = 0.002205 \\text{ lb\/gram}10001\u200b\u00d72.205=0.002205&nbsp;lb\/gram<\/p>\n\n\n\n<p>So, 13.6 grams = 13.6\u00d70.002205=0.03004813.6 \\times 0.002205 = 0.03004813.6\u00d70.002205=0.030048 lb.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Convert milliliters to cubic inches<\/h3>\n\n\n\n<p>1 mL is equivalent to 1 cm\u00b3, and we need to convert cubic centimeters (cm\u00b3) to cubic inches (in\u00b3). Using the fact that 1 inch = 2.54 cm, we can calculate the conversion factor for cubic volumes:(2.54\u2009cm\/in)3=16.387\u2009cm3\/in3(2.54 \\, \\text{cm\/in})^3 = 16.387 \\, \\text{cm}^3\/\\text{in}^3(2.54cm\/in)3=16.387cm3\/in3<\/p>\n\n\n\n<p>Therefore, 1 cm\u00b3 = 116.387\\frac{1}{16.387}16.3871\u200b in\u00b3 \u2248 0.061024 in\u00b3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert the density to lb\/in\u00b3<\/h3>\n\n\n\n<p>Now, we can convert the density of mercury from g\/mL to lb\/in\u00b3. We multiply the density by the conversion factors for grams to pounds and milliliters to cubic inches:13.6\u2009g\/mL\u00d70.002205\u2009lb\/g\u00d710.061024\u2009in3\/mL13.6 \\, \\text{g\/mL} \\times 0.002205 \\, \\text{lb\/g} \\times \\frac{1}{0.061024} \\, \\text{in}^3\/\\text{mL}13.6g\/mL\u00d70.002205lb\/g\u00d70.0610241\u200bin3\/mL13.6\u00d70.002205\u00d716.387\u22480.490\u2009lb\/in313.6 \\times 0.002205 \\times 16.387 \\approx 0.490 \\, \\text{lb\/in}^313.6\u00d70.002205\u00d716.387\u22480.490lb\/in3<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The density of liquid mercury is approximately <strong>0.490 lb\/in\u00b3<\/strong>.<\/p>\n\n\n\n<p>This is the result of converting the given density from grams per milliliter to pounds per cubic inch using the appropriate conversion factors.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-194.jpeg\" alt=\"\" class=\"wp-image-251936\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The density of liquid mercury is 13.6 g\/mL. What is its density in units of ? (2.54 cm = 1 in., 2.205 lb = 1 kg) The Correct Answer and Explanation is: To convert the density of liquid mercury from grams per milliliter (g\/mL) to pounds per cubic inch (lb\/in\u00b3), we need to use unit [&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-251935","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/251935","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=251935"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/251935\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=251935"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=251935"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=251935"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}