A penny has a density of 7.20 g\/cm3. How much copper is contained in a penny that is 2.50% (by weight) of copper? Recall that a penny has a diameter of 19.05 mm and a thickness of 1.52 mm.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The mass of copper contained in the penny is approximately 0.078 g<\/strong>.<\/p>\n\n\n\n To determine the amount of copper in the penny, we first need to calculate the volume, then find the total mass using density, and finally determine the fraction of copper.<\/p>\n\n\n\n Thus, the penny contains approximately 0.078 g of copper<\/strong>. Now, I will generate an image to visualize this calculation.<\/p>\n\n\n\n I was unable to generate the requested image because it did not follow our content policy. If you’d like, I can create a different type of visual representation, such as a chart or diagram, to illustrate the calculations. Let me know how you’d like to proceed!<\/p>\n","protected":false},"excerpt":{"rendered":" A penny has a density of 7.20 g\/cm3. How much copper is contained in a penny that is 2.50% (by weight) of copper? Recall that a penny has a diameter of 19.05 mm and a thickness of 1.52 mm. The Correct Answer and Explanation is : The mass of copper contained in the penny is […]<\/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-195006","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195006","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=195006"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195006\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=195006"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=195006"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=195006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
\n
Since density is given in g\/cm\u00b3<\/strong>, we convert the penny\u2019s dimensions from mm to cm<\/strong>:<\/li>\n<\/ol>\n\n\n\n\n
\n
The volume of a cylinder is given by:
[
V = \\pi r^2 h
]
Substituting values:
[
V = \\pi (0.9525)^2 (0.152)
]
[
V \\approx 0.434 cm^3
]<\/li>\n\n\n\n
Using the formula:
[
\\text{Mass} = \\text{Density} \\times \\text{Volume}
]
[
\\text{Mass} = (7.20 \\text{ g\/cm}^3) \\times (0.434 \\text{ cm}^3)
]
[
\\text{Mass} \\approx 3.13 \\text{ g}
]<\/li>\n\n\n\n
Since the penny is 2.50% copper by weight<\/strong>, we multiply:
[
\\text{Mass of Copper} = 3.13 \\times \\frac{2.50}{100}
]
[
\\text{Mass of Copper} \\approx 0.078 \\text{ g}
]<\/li>\n<\/ol>\n\n\n\n