{"id":204570,"date":"2025-03-22T09:04:58","date_gmt":"2025-03-22T09:04:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=204570"},"modified":"2025-03-22T09:05:00","modified_gmt":"2025-03-22T09:05:00","slug":"the-density-of-copper-is-8-961-x-103-kg-m%c2%b3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/22\/the-density-of-copper-is-8-961-x-103-kg-m%c2%b3\/","title":{"rendered":"The density of copper is 8.961 x 103 kg\/m\u00b3"},"content":{"rendered":"\n

The density of copper is 8.961 x 103 kg\/m\u00b3. Convert it into g\/mL<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

To convert the density of copper from ( \\text{kg\/m}^3 ) to ( \\text{g\/mL} ), we need to follow these steps:<\/p>\n\n\n\n

Given:<\/h3>\n\n\n\n

Density of copper = ( 8.961 \\times 10^3 \\, \\text{kg\/m}^3 )<\/p>\n\n\n\n

Step 1: Conversion from kg to g<\/h3>\n\n\n\n

1 kg = 1000 grams. So, to convert the mass from kilograms to grams, we multiply by 1000.<\/p>\n\n\n\n

[
8.961 \\times 10^3 \\, \\text{kg} = 8.961 \\times 10^3 \\times 1000 \\, \\text{g} = 8.961 \\times 10^6 \\, \\text{g}
]<\/p>\n\n\n\n

Step 2: Conversion from cubic meters to milliliters<\/h3>\n\n\n\n

We need to convert the volume from cubic meters (m\u00b3) to milliliters (mL). Since:
[
1 \\, \\text{m} = 100 \\, \\text{cm} = 10^2 \\, \\text{cm}
]
and
[
1 \\, \\text{m}^3 = 10^6 \\, \\text{cm}^3 = 10^3 \\, \\text{mL}
]<\/p>\n\n\n\n

Thus,
[
1 \\, \\text{m}^3 = 10^6 \\, \\text{mL}
]<\/p>\n\n\n\n

Step 3: Apply the conversion factors<\/h3>\n\n\n\n

Now, we convert the density from ( \\text{kg\/m}^3 ) to ( \\text{g\/mL} ). The density in kg\/m\u00b3 can be converted to g\/mL by dividing by ( 10^3 ) (because 1 m\u00b3 = ( 10^6 ) mL, and 1 kg = 1000 g):<\/p>\n\n\n\n

[
\\text{Density in g\/mL} = \\frac{8.961 \\times 10^6 \\, \\text{g}}{10^6 \\, \\text{mL}} = 8.961 \\, \\text{g\/mL}
]<\/p>\n\n\n\n

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

The density of copper is ( \\mathbf{8.961} \\, \\text{g\/mL} ).<\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/h3>\n\n\n\n

This conversion involves two primary steps: first converting the mass from kilograms to grams and then converting the volume from cubic meters to milliliters.<\/p>\n\n\n\n

    \n
  • Kilograms to grams:<\/strong> Since 1 kilogram is equal to 1000 grams, we multiply the given density in kg by 1000 to convert to grams. This increases the magnitude of the mass value by a factor of 1000.<\/li>\n\n\n\n
  • Cubic meters to milliliters:<\/strong> A cubic meter contains 1 million milliliters (since 1 m = 100 cm and 1 m\u00b3 = ( 100 \\times 100 \\times 100 = 10^6 ) cm\u00b3, and 1 cm\u00b3 = 1 mL). Therefore, to convert density in kg\/m\u00b3 to g\/mL, we divide by ( 10^3 ) because there are ( 10^3 ) milliliters in a liter and ( 10^6 ) milliliters in a cubic meter.<\/li>\n<\/ul>\n\n\n\n

    Thus, we arrive at the density of copper in g\/mL as ( 8.961 \\, \\text{g\/mL} ).<\/p>\n","protected":false},"excerpt":{"rendered":"

    The density of copper is 8.961 x 103 kg\/m\u00b3. Convert it into g\/mL The correct answer and explanation is : To convert the density of copper from ( \\text{kg\/m}^3 ) to ( \\text{g\/mL} ), we need to follow these steps: Given: Density of copper = ( 8.961 \\times 10^3 \\, \\text{kg\/m}^3 ) Step 1: Conversion […]<\/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-204570","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/204570","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=204570"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/204570\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=204570"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=204570"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=204570"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}