The value for the gas constant R is 1.987 cal\/mol\u00b7K or 62.37 L\u00b7mmHg\/mol\u00b7K or 0.08314 L\u00b7bar\/mol\u00b7K. The equality 1 atm = 76 cm Hg is an exact equality. Using this given information, determine how many atm corresponds to exactly 1 bar.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To determine how many atmospheres (atm) correspond to exactly 1 bar, we will first need to utilize the given relationships between units of pressure. Let’s break it down step by step:<\/p>\n\n\n\n The value for the gas constant R is 1.987 cal\/mol\u00b7K or 62.37 L\u00b7mmHg\/mol\u00b7K or 0.08314 L\u00b7bar\/mol\u00b7K. The equality 1 atm = 76 cm Hg is an exact equality. Using this given information, determine how many atm corresponds to exactly 1 bar. The Correct Answer and Explanation is : To determine how many atmospheres (atm) correspond […]<\/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-186585","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/186585","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=186585"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/186585\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=186585"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=186585"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=186585"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
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First, let\u2019s express 1 bar in terms of cm Hg, since we know the relationship between atm and cm Hg.<\/li>\n<\/ol>\n\n\n\n\n
\\frac{1 \\, \\text{atm}}{101,325 \\, \\text{Pa}} = \\frac{x \\, \\text{atm}}{100,000 \\, \\text{Pa}}
] Now, solve for (x), the number of atmospheres in 1 bar: [
x = \\frac{100,000 \\, \\text{Pa}}{101,325 \\, \\text{Pa}} \\, \\text{atm}
] [
x = 0.9869 \\, \\text{atm}
] Thus, 1 bar is equivalent to approximately 0.9869 atm<\/strong>.<\/li>\n<\/ul>\n\n\n\n\n
The value for 1 bar is nearly equal to 1 atm but slightly less. Specifically, 1 bar is about 0.9869 atm<\/strong>. This conversion shows how the two units of pressure relate based on the known physical constants for the atmospheric pressure and the bar measurement.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"