{"id":205671,"date":"2025-03-25T07:21:57","date_gmt":"2025-03-25T07:21:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205671"},"modified":"2025-03-25T07:21:59","modified_gmt":"2025-03-25T07:21:59","slug":"on-a-hypothetical-relative-mass-scale-the-average-mass-of-the-atoms-of-element-a-was-assigned-a-value-of-64-00-gigs-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/25\/on-a-hypothetical-relative-mass-scale-the-average-mass-of-the-atoms-of-element-a-was-assigned-a-value-of-64-00-gigs-3\/","title":{"rendered":"On a hypothetical relative mass scale, the average mass of the atoms of element A was assigned a value of 64.00 gigs"},"content":{"rendered":"\n<p>On a hypothetical relative mass scale, the average mass of the atoms of element A was assigned a value of 64.00 gigs. The average mass of the atoms of element B is 36.40% that of element A, and the average mass of the atoms of element C is 6.43 times the mass of A. What is the average mass of the atoms of element C rounded to the nearest 0.01 gigs?<\/p>\n\n\n\n<p>A) 34.98 gigs<\/p>\n\n\n\n<p>B) 439.70 gigs<\/p>\n\n\n\n<p>C) 87.67 gigs<\/p>\n\n\n\n<p>D) 411.52 gigs<\/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 determine the average mass of the atoms of element C, let&#8217;s follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the given values<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The mass of element A is <strong>64.00 gigs<\/strong>.<\/li>\n\n\n\n<li>The mass of element B is <strong>36.40%<\/strong> of element A: [<br>\\text{Mass of B} = 0.3640 \\times 64.00<br>] [<br>= 23.30 \\text{ gigs}<br>]<\/li>\n\n\n\n<li>The mass of element C is <strong>6.43 times<\/strong> that of element A: [<br>\\text{Mass of C} = 6.43 \\times 64.00<br>] [<br>= 411.52 \\text{ gigs}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Round the Answer<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The calculated mass of element C is <strong>411.52 gigs<\/strong>, which is already rounded to the nearest 0.01 gigs.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Select the Correct Answer<\/h3>\n\n\n\n<p>The correct option is:<\/p>\n\n\n\n<p><strong>D) 411.52 gigs<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The problem involves a hypothetical relative mass scale where different elements have their atomic masses assigned relative to each other. Element A serves as the reference with a mass of <strong>64.00 gigs<\/strong>. The mass of element B is calculated by taking <strong>36.40%<\/strong> of element A, giving <strong>23.30 gigs<\/strong>, though this value isn\u2019t necessary for solving for element C. The mass of element C is found by multiplying the mass of element A by <strong>6.43<\/strong>, yielding <strong>411.52 gigs<\/strong>.<\/p>\n\n\n\n<p>This problem demonstrates proportional reasoning, a fundamental concept in chemistry and physics when dealing with relative atomic masses, isotopic comparisons, or molar ratios. Such calculations are crucial in fields like stoichiometry and atomic physics.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1381.png\" alt=\"\" class=\"wp-image-205672\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>On a hypothetical relative mass scale, the average mass of the atoms of element A was assigned a value of 64.00 gigs. The average mass of the atoms of element B is 36.40% that of element A, and the average mass of the atoms of element C is 6.43 times the mass of A. What [&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-205671","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205671","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=205671"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205671\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205671"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}