{"id":205408,"date":"2025-03-24T13:43:50","date_gmt":"2025-03-24T13:43:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205408"},"modified":"2025-03-24T13:43:52","modified_gmt":"2025-03-24T13:43:52","slug":"on-a-hypothetical-relative-mass-scale-the-average-mass-of-the-atoms-of-element-a-was-assigned-a-value-of-64-00-gigs","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/24\/on-a-hypothetical-relative-mass-scale-the-average-mass-of-the-atoms-of-element-a-was-assigned-a-value-of-64-00-gigs\/","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>We are given the following information:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The average mass of the atoms of element A is <strong>64.00 gigs<\/strong>.<\/li>\n\n\n\n<li>The average mass of the atoms of element B is <strong>36.40%<\/strong> that of element A.<\/li>\n\n\n\n<li>The average mass of the atoms of element C is <strong>6.43 times<\/strong> the mass of element A.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the average mass of element B<\/h3>\n\n\n\n<p>We are told that the mass of element B is 36.40% of the mass of element A. To calculate the mass of element B, we multiply the mass of element A by 36.40% (or 0.364):<\/p>\n\n\n\n<p>[<br>\\text{Mass of element B} = 64.00 \\, \\text{gigs} \\times 0.364 = 23.296 \\, \\text{gigs}<br>]<\/p>\n\n\n\n<p>Thus, the average mass of the atoms of element B is <strong>23.296 gigs<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Find the average mass of element C<\/h3>\n\n\n\n<p>Next, we know that the mass of element C is 6.43 times the mass of element A. To calculate the mass of element C, we multiply the mass of element A by 6.43:<\/p>\n\n\n\n<p>[<br>\\text{Mass of element C} = 64.00 \\, \\text{gigs} \\times 6.43 = 411.52 \\, \\text{gigs}<br>]<\/p>\n\n\n\n<p>Thus, the average mass of the atoms of element C is <strong>411.52 gigs<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Round the result<\/h3>\n\n\n\n<p>The problem asks for the mass of element C rounded to the nearest 0.01 gigs. Since 411.52 gigs is already rounded to two decimal places, no further rounding is necessary.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<p>The average mass of the atoms of element C is <strong>411.52 gigs<\/strong>, so the correct answer is:<\/p>\n\n\n\n<p><strong>D) 411.52 gigs<\/strong>.<\/p>\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-1297.png\" alt=\"\" class=\"wp-image-205409\"\/><\/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-205408","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205408","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=205408"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205408\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}