If the density of pure copper is 8.89 g\/cm (at 20 \u00b0C), calculate the volume (in L) of a copper brick with a mass of 45 kg<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To calculate the volume of the copper brick, we can use the formula for density:<\/p>\n\n\n\n [ Rearranging the formula to solve for volume:<\/p>\n\n\n\n [ Since the given mass is 45 kg and we need to work in grams (because the density is in g\/cm\u00b3), we first convert the mass:<\/p>\n\n\n\n [ The density of pure copper at 20\u00b0C is given as 8.89 g\/cm\u00b3. This means that every 1 cm\u00b3 of copper weighs 8.89 grams.<\/p>\n\n\n\n Now we can substitute the values into the formula to calculate the volume in cubic centimeters:<\/p>\n\n\n\n [ [ 1 liter (L) is equivalent to 1000 cm\u00b3. Therefore, to convert the volume from cubic centimeters to liters, we divide by 1000:<\/p>\n\n\n\n [ The volume of the copper brick is approximately 5.068 L<\/strong>.<\/p>\n\n\n\n Density is a measure of how much mass is contained in a given volume. In this case, the density of copper is 8.89 g\/cm\u00b3, meaning every cubic centimeter of copper weighs 8.89 grams. By using the formula (\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}), we can rearrange it to calculate the volume when mass and density are known. After converting the mass from kilograms to grams, we apply the formula to find the volume in cubic centimeters, and finally convert that to liters since 1 liter is 1000 cm\u00b3. This allows us to determine the volume of the copper brick accurately.<\/p>\n","protected":false},"excerpt":{"rendered":" If the density of pure copper is 8.89 g\/cm (at 20 \u00b0C), calculate the volume (in L) of a copper brick with a mass of 45 kg The correct answer and explanation is : To calculate the volume of the copper brick, we can use the formula for density: [\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}] Rearranging the 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-210078","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210078","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=210078"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/210078\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=210078"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=210078"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=210078"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}
]<\/p>\n\n\n\n
\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}
]<\/p>\n\n\n\nStep 1: Convert mass from kilograms to grams.<\/h3>\n\n\n\n
45 \\, \\text{kg} = 45 \\times 1000 = 45,000 \\, \\text{grams}
]<\/p>\n\n\n\nStep 2: Use the density of copper.<\/h3>\n\n\n\n
Step 3: Calculate the volume in cm\u00b3.<\/h3>\n\n\n\n
\\text{Volume} = \\frac{45,000 \\, \\text{g}}{8.89 \\, \\text{g\/cm}^3}
]<\/p>\n\n\n\n
\\text{Volume} \\approx 5067.6 \\, \\text{cm}^3
]<\/p>\n\n\n\nStep 4: Convert the volume from cm\u00b3 to liters.<\/h3>\n\n\n\n
\\text{Volume} = \\frac{5067.6 \\, \\text{cm}^3}{1000} = 5.068 \\, \\text{L}
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n