{"id":182595,"date":"2025-01-14T12:35:23","date_gmt":"2025-01-14T12:35:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182595"},"modified":"2025-01-14T12:35:25","modified_gmt":"2025-01-14T12:35:25","slug":"the-accepted-true-density-of-aluminum-is-2-70g-cm3-chem-libretexts-org","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/14\/the-accepted-true-density-of-aluminum-is-2-70g-cm3-chem-libretexts-org\/","title":{"rendered":"The accepted (true) density of aluminum is 2.70g\/cm3 (chem.libretexts.org)"},"content":{"rendered":"\n<p>The accepted (true) density of aluminum is 2.70g\/cm3 (chem.libretexts.org). If a student, after performing an experiment, found the value to be 2.45g\/cm3, calculate the percent error for this value. \u039f 9.3% 9.26% \u039f 25%<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the percent error, the formula used is:<\/p>\n\n\n\n<p>[<br>\\text{Percent Error} = \\left( \\frac{\\left| \\text{Experimental Value} &#8211; \\text{Accepted Value} \\right|}{\\text{Accepted Value}} \\right) \\times 100<br>]<\/p>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Experimental Value<\/strong> = 2.45 g\/cm\u00b3<\/li>\n\n\n\n<li><strong>Accepted Value<\/strong> = 2.70 g\/cm\u00b3<\/li>\n<\/ul>\n\n\n\n<p>Substitute the values into the formula:<\/p>\n\n\n\n<p>[<br>\\text{Percent Error} = \\left( \\frac{\\left| 2.45 &#8211; 2.70 \\right|}{2.70} \\right) \\times 100<br>]<\/p>\n\n\n\n<p>First, calculate the absolute difference between the experimental and accepted values:<\/p>\n\n\n\n<p>[<br>\\left| 2.45 &#8211; 2.70 \\right| = 0.25<br>]<\/p>\n\n\n\n<p>Now divide this by the accepted value (2.70 g\/cm\u00b3):<\/p>\n\n\n\n<p>[<br>\\frac{0.25}{2.70} \\approx 0.0926<br>]<\/p>\n\n\n\n<p>Finally, multiply by 100 to convert the decimal into a percentage:<\/p>\n\n\n\n<p>[<br>0.0926 \\times 100 = 9.26\\%<br>]<\/p>\n\n\n\n<p>Thus, the <strong>percent error<\/strong> is <strong>9.26%<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Percent error is used to measure the accuracy of an experimental value compared to a known or accepted value. It quantifies the discrepancy between the two values as a percentage of the accepted value. A lower percent error indicates a more accurate result, while a higher percent error suggests a larger difference between the experimental and accepted values.<\/p>\n\n\n\n<p>In this case, the experimental value of aluminum\u2019s density (2.45 g\/cm\u00b3) is slightly lower than the accepted value (2.70 g\/cm\u00b3). The calculated percent error of 9.26% indicates that the student&#8217;s result deviated by about 9.26% from the true value. This level of error might suggest experimental inconsistencies such as measurement inaccuracies, impurities in the aluminum sample, or errors in the apparatus used.<\/p>\n\n\n\n<p><br><br><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The accepted (true) density of aluminum is 2.70g\/cm3 (chem.libretexts.org). If a student, after performing an experiment, found the value to be 2.45g\/cm3, calculate the percent error for this value. \u039f 9.3% 9.26% \u039f 25% The Correct Answer and Explanation is : To calculate the percent error, the formula used is: [\\text{Percent Error} = \\left( \\frac{\\left| [&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-182595","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182595","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=182595"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182595\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182595"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182595"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182595"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}