{"id":246240,"date":"2025-07-07T03:52:34","date_gmt":"2025-07-07T03:52:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246240"},"modified":"2025-07-07T03:52:36","modified_gmt":"2025-07-07T03:52:36","slug":"given-the-barometric-pressure-of-14-7-psia-29-92-in-hg-abs-make-these-conversion","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/07\/given-the-barometric-pressure-of-14-7-psia-29-92-in-hg-abs-make-these-conversion\/","title":{"rendered":"Given the barometric pressure of 14.7 psia (29.92 in Hg abs) make these conversion"},"content":{"rendered":"\n<p>Given the barometric pressure of 14.7 psia (29.92 in Hg abs) make these conversion: a) 80 psig to psia and to atmosphere, b) 20 in. Hg vacuum to in Hg abs and to psia, c) 10 psia to psi vacuum and to Pa<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let&#8217;s go through each of the conversions one by one, explaining the steps involved:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">a) 80 psig to psia and to atmosphere<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>psig to psia<\/strong>:<br>To convert from <strong>psig (pounds per square inch gauge)<\/strong> to <strong>psia (pounds per square inch absolute)<\/strong>, we need to add the <strong>barometric pressure<\/strong> (14.7 psia). The equation is: psia=psig+atmospheric\u00a0pressure\\text{psia} = \\text{psig} + \\text{atmospheric pressure}psia=psig+atmospheric\u00a0pressure So: 80\u2009psig+14.7\u2009psia=94.7\u2009psia80 \\, \\text{psig} + 14.7 \\, \\text{psia} = 94.7 \\, \\text{psia}80psig+14.7psia=94.7psia Therefore, 80 psig is equivalent to 94.7 psia.<\/li>\n\n\n\n<li><strong>psia to atmosphere<\/strong>:<br>1 atmosphere (atm) is equal to <strong>14.7 psia<\/strong>. To convert from <strong>psia<\/strong> to <strong>atmospheres<\/strong>, we divide by 14.7: 94.7\u2009psia14.7\u2009psia\/atm=6.44\u2009atm\\frac{94.7 \\, \\text{psia}}{14.7 \\, \\text{psia\/atm}} = 6.44 \\, \\text{atm}14.7psia\/atm94.7psia\u200b=6.44atm Therefore, 80 psig is equivalent to 6.44 atm.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">b) 20 in. Hg vacuum to in Hg abs and to psia<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>in Hg vacuum to in Hg abs<\/strong>:<br>To convert from <strong>in Hg vacuum<\/strong> to <strong>in Hg absolute<\/strong>, we subtract the vacuum pressure from standard atmospheric pressure, which is 29.92 in Hg. The formula is: in\u00a0Hg\u00a0abs=29.92\u2009in\u00a0Hg\u221220\u2009in\u00a0Hg\u00a0vacuum\\text{in Hg abs} = 29.92 \\, \\text{in Hg} &#8211; 20 \\, \\text{in Hg vacuum}in\u00a0Hg\u00a0abs=29.92in\u00a0Hg\u221220in\u00a0Hg\u00a0vacuum So: 29.92\u2009in\u00a0Hg\u221220\u2009in\u00a0Hg=9.92\u2009in\u00a0Hg\u00a0abs29.92 \\, \\text{in Hg} &#8211; 20 \\, \\text{in Hg} = 9.92 \\, \\text{in Hg abs}29.92in\u00a0Hg\u221220in\u00a0Hg=9.92in\u00a0Hg\u00a0abs Therefore, 20 in. Hg vacuum is equivalent to 9.92 in. Hg absolute.<\/li>\n\n\n\n<li><strong>in Hg abs to psia<\/strong>:<br>1 in Hg is equal to 0.4912 psia. To convert 9.92 in. Hg absolute to psia: 9.92\u2009in\u00a0Hg\u00a0abs\u00d70.4912\u2009psia\/in\u00a0Hg=4.87\u2009psia9.92 \\, \\text{in Hg abs} \\times 0.4912 \\, \\text{psia\/in Hg} = 4.87 \\, \\text{psia}9.92in\u00a0Hg\u00a0abs\u00d70.4912psia\/in\u00a0Hg=4.87psia Therefore, 20 in. Hg vacuum is equivalent to 4.87 psia.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">c) 10 psia to psi vacuum and to Pa<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>psia to psi vacuum<\/strong>:<br>To convert from <strong>psia<\/strong> to <strong>psi vacuum<\/strong>, we subtract the absolute pressure from atmospheric pressure (14.7 psia): psi\u00a0vacuum=14.7\u2009psia\u221210\u2009psia\\text{psi vacuum} = 14.7 \\, \\text{psia} &#8211; 10 \\, \\text{psia}psi\u00a0vacuum=14.7psia\u221210psia So: 14.7\u2009psia\u221210\u2009psia=4.7\u2009psi\u00a0vacuum14.7 \\, \\text{psia} &#8211; 10 \\, \\text{psia} = 4.7 \\, \\text{psi vacuum}14.7psia\u221210psia=4.7psi\u00a0vacuum Therefore, 10 psia is equivalent to 4.7 psi vacuum.<\/li>\n\n\n\n<li><strong>psia to Pa<\/strong>:<br>1 psia is equal to <strong>6894.76 Pa<\/strong> (since 1 psi = 6894.76 Pa). To convert 10 psia to Pascals: 10\u2009psia\u00d76894.76\u2009Pa\/psia=68,947.6\u2009Pa10 \\, \\text{psia} \\times 6894.76 \\, \\text{Pa\/psia} = 68,947.6 \\, \\text{Pa}10psia\u00d76894.76Pa\/psia=68,947.6Pa Therefore, 10 psia is equivalent to 68,947.6 Pa.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of Results:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a) <strong>80 psig<\/strong> is equal to:\n<ul class=\"wp-block-list\">\n<li>94.7 psia<\/li>\n\n\n\n<li>6.44 atm<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>b) <strong>20 in. Hg vacuum<\/strong> is equal to:\n<ul class=\"wp-block-list\">\n<li>9.92 in. Hg absolute<\/li>\n\n\n\n<li>4.87 psia<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>c) <strong>10 psia<\/strong> is equal to:\n<ul class=\"wp-block-list\">\n<li>4.7 psi vacuum<\/li>\n\n\n\n<li>68,947.6 Pa<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-822.jpeg\" alt=\"\" class=\"wp-image-246241\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Given the barometric pressure of 14.7 psia (29.92 in Hg abs) make these conversion: a) 80 psig to psia and to atmosphere, b) 20 in. Hg vacuum to in Hg abs and to psia, c) 10 psia to psi vacuum and to Pa The Correct Answer and Explanation is: Let&#8217;s go through each of the [&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-246240","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246240","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=246240"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246240\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}