{"id":265246,"date":"2025-07-21T19:51:35","date_gmt":"2025-07-21T19:51:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=265246"},"modified":"2025-07-21T19:51:36","modified_gmt":"2025-07-21T19:51:36","slug":"what-is-the-volume-in-liters-of-3-02-kg-of-the-liquid","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/what-is-the-volume-in-liters-of-3-02-kg-of-the-liquid\/","title":{"rendered":"What is the volume in liters of 3.02 kg of the liquid"},"content":{"rendered":"\n

A liquid in the lab has a density of 1.17 g\/cm3. What is the volume in liters of 3.02 kg of the liquid? Demonstrate each conversion factor.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To solve this problem, we need to convert the mass of the liquid from kilograms to grams, then use the density formula to find the volume, and finally convert the volume from cubic centimeters (cm\u00b3) to liters (L).<\/p>\n\n\n\n

Step 1: Convert mass from kilograms to grams<\/h3>\n\n\n\n

The mass given is 3.02 kg, and we know that 1 kg is equal to 1000 grams. Therefore:3.02\u2009kg\u00d71000\u2009g1\u2009kg=3020\u2009g3.02 \\, \\text{kg} \\times \\frac{1000 \\, \\text{g}}{1 \\, \\text{kg}} = 3020 \\, \\text{g}3.02kg\u00d71kg1000g\u200b=3020g<\/p>\n\n\n\n

So, the mass of the liquid is 3020 grams.<\/p>\n\n\n\n

Step 2: Use the density formula to find the volume<\/h3>\n\n\n\n

The formula for density is:Density=MassVolume\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}Density=VolumeMass\u200b<\/p>\n\n\n\n

We can rearrange this formula to solve for volume:Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}Volume=DensityMass\u200b<\/p>\n\n\n\n

Given:<\/p>\n\n\n\n

    \n
  • Mass = 3020 g<\/li>\n\n\n\n
  • Density = 1.17 g\/cm\u00b3<\/li>\n<\/ul>\n\n\n\n

    Now, substitute these values into the equation:Volume=3020\u2009g1.17\u2009g\/cm3=2573.50\u2009cm3\\text{Volume} = \\frac{3020 \\, \\text{g}}{1.17 \\, \\text{g\/cm}^3} = 2573.50 \\, \\text{cm}^3Volume=1.17g\/cm33020g\u200b=2573.50cm3<\/p>\n\n\n\n

    So, the volume of the liquid is 2573.50 cubic centimeters (cm\u00b3).<\/p>\n\n\n\n

    Step 3: Convert volume from cubic centimeters to liters<\/h3>\n\n\n\n

    1 liter is equal to 1000 cubic centimeters (cm\u00b3). Therefore, to convert cm\u00b3 to liters, we use the conversion factor:Volume in liters=2573.50\u2009cm31000\u2009cm3\/L=2.5735\u2009L\\text{Volume in liters} = \\frac{2573.50 \\, \\text{cm}^3}{1000 \\, \\text{cm}^3\/\\text{L}} = 2.5735 \\, \\text{L}Volume in liters=1000cm3\/L2573.50cm3\u200b=2.5735L<\/p>\n\n\n\n

    Final Answer:<\/h3>\n\n\n\n

    The volume of the liquid is 2.5735 liters<\/strong>.<\/p>\n\n\n\n

    This method uses unit conversions and density to find the desired result, ensuring that all units are consistent and correctly converted.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    A liquid in the lab has a density of 1.17 g\/cm3. What is the volume in liters of 3.02 kg of the liquid? Demonstrate each conversion factor. The Correct Answer and Explanation is: To solve this problem, we need to convert the mass of the liquid from kilograms to grams, then use the density formula […]<\/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-265246","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265246","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=265246"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/265246\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=265246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=265246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=265246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}