{"id":189817,"date":"2025-02-10T13:48:59","date_gmt":"2025-02-10T13:48:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=189817"},"modified":"2025-02-10T13:49:03","modified_gmt":"2025-02-10T13:49:03","slug":"convert-each-of-the-following-pressures-to-the-units-specified-a-140kpa-to-pa-b-92000pa-to-kpa-c-4-24atm-to-mmhg-and-pa-d-120kpa-to-mmhg","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/10\/convert-each-of-the-following-pressures-to-the-units-specified-a-140kpa-to-pa-b-92000pa-to-kpa-c-4-24atm-to-mmhg-and-pa-d-120kpa-to-mmhg\/","title":{"rendered":"Convert each of the following pressures to the units specified: a 140kPa to Pa b 92000Pa to kPa c 4.24atm to mmHg and Pa d 120kPa to mmHg"},"content":{"rendered":"\n<p>Convert each of the following pressures to the units specified: a 140kPa to Pa b 92000Pa to kPa c 4.24atm to mmHg and Pa d 120kPa to mmHg, atm and bar e 1400mmHg to atm, Pa and bar f 80000Pa to atm, mmHg and bar<\/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>Let&#8217;s go step by step to convert each pressure value to the required units. We will use the following conversion factors for the calculations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Pressure conversions:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 1 \\text{ kPa} = 1,000 \\text{ Pa} )<\/li>\n\n\n\n<li>( 1 \\text{ atm} = 101,325 \\text{ Pa} )<\/li>\n\n\n\n<li>( 1 \\text{ atm} = 760 \\text{ mmHg} )<\/li>\n\n\n\n<li>( 1 \\text{ mmHg} = 133.322 \\text{ Pa} )<\/li>\n\n\n\n<li>( 1 \\text{ bar} = 100,000 \\text{ Pa} )<\/li>\n<\/ul>\n\n\n\n<p>Now, let&#8217;s solve the problems:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(a) Convert <strong>140 kPa<\/strong> to <strong>Pa<\/strong>:<\/h3>\n\n\n\n<p>[<br>140 \\text{ kPa} = 140 \\times 1,000 \\text{ Pa} = 140,000 \\text{ Pa}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(b) Convert <strong>92,000 Pa<\/strong> to <strong>kPa<\/strong>:<\/h3>\n\n\n\n<p>[<br>92,000 \\text{ Pa} = \\frac{92,000}{1,000} \\text{ kPa} = 92 \\text{ kPa}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(c) Convert <strong>4.24 atm<\/strong> to <strong>mmHg<\/strong> and <strong>Pa<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>mmHg<\/strong>:<br>[<br>4.24 \\text{ atm} = 4.24 \\times 760 \\text{ mmHg} = 3,222.4 \\text{ mmHg}<br>]<\/li>\n\n\n\n<li>To <strong>Pa<\/strong>:<br>[<br>4.24 \\text{ atm} = 4.24 \\times 101,325 \\text{ Pa} = 429,627 \\text{ Pa}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">(d) Convert <strong>120 kPa<\/strong> to <strong>mmHg<\/strong>, <strong>atm<\/strong>, and <strong>bar<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>mmHg<\/strong>:<br>[<br>120 \\text{ kPa} = 120 \\times 1,000 \\text{ Pa} = 120,000 \\text{ Pa}<br>]<br>[<br>120,000 \\text{ Pa} = \\frac{120,000}{133.322} \\text{ mmHg} \\approx 899.4 \\text{ mmHg}<br>]<\/li>\n\n\n\n<li>To <strong>atm<\/strong>:<br>[<br>120,000 \\text{ Pa} = \\frac{120,000}{101,325} \\text{ atm} \\approx 1.184 \\text{ atm}<br>]<\/li>\n\n\n\n<li>To <strong>bar<\/strong>:<br>[<br>120,000 \\text{ Pa} = \\frac{120,000}{100,000} \\text{ bar} = 1.2 \\text{ bar}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">(e) Convert <strong>1400 mmHg<\/strong> to <strong>atm<\/strong>, <strong>Pa<\/strong>, and <strong>bar<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>atm<\/strong>:<br>[<br>1400 \\text{ mmHg} = \\frac{1400}{760} \\text{ atm} \\approx 1.842 \\text{ atm}<br>]<\/li>\n\n\n\n<li>To <strong>Pa<\/strong>:<br>[<br>1400 \\text{ mmHg} = 1400 \\times 133.322 \\text{ Pa} = 186,652.8 \\text{ Pa}<br>]<\/li>\n\n\n\n<li>To <strong>bar<\/strong>:<br>[<br>186,652.8 \\text{ Pa} = \\frac{186,652.8}{100,000} \\text{ bar} = 1.866 \\text{ bar}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">(f) Convert <strong>80,000 Pa<\/strong> to <strong>atm<\/strong>, <strong>mmHg<\/strong>, and <strong>bar<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>atm<\/strong>:<br>[<br>80,000 \\text{ Pa} = \\frac{80,000}{101,325} \\text{ atm} \\approx 0.790 \\text{ atm}<br>]<\/li>\n\n\n\n<li>To <strong>mmHg<\/strong>:<br>[<br>80,000 \\text{ Pa} = \\frac{80,000}{133.322} \\text{ mmHg} \\approx 600.3 \\text{ mmHg}<br>]<\/li>\n\n\n\n<li>To <strong>bar<\/strong>:<br>[<br>80,000 \\text{ Pa} = \\frac{80,000}{100,000} \\text{ bar} = 0.8 \\text{ bar}<br>]<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(a) 140 kPa = 140,000 Pa<\/li>\n\n\n\n<li>(b) 92,000 Pa = 92 kPa<\/li>\n\n\n\n<li>(c) 4.24 atm = 3,222.4 mmHg = 429,627 Pa<\/li>\n\n\n\n<li>(d) 120 kPa = 899.4 mmHg = 1.184 atm = 1.2 bar<\/li>\n\n\n\n<li>(e) 1400 mmHg = 1.842 atm = 186,652.8 Pa = 1.866 bar<\/li>\n\n\n\n<li>(f) 80,000 Pa = 0.790 atm = 600.3 mmHg = 0.8 bar<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To convert pressure units, we use predefined relationships between the various units. Converting between units of pressure like kPa, Pa, atm, mmHg, and bar relies on knowing these relationships, which are based on historical measurements and physical constants. The unit <strong>Pascal (Pa)<\/strong> is the SI unit for pressure, while other units such as <strong>atm<\/strong>, <strong>mmHg<\/strong>, and <strong>bar<\/strong> are used in different contexts or regions. By applying simple multiplication or division using the appropriate conversion factors, you can easily switch between these units. For example, multiplying by 1,000 converts kPa to Pa, and dividing by 101,325 converts Pa to atm.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert each of the following pressures to the units specified: a 140kPa to Pa b 92000Pa to kPa c 4.24atm to mmHg and Pa d 120kPa to mmHg, atm and bar e 1400mmHg to atm, Pa and bar f 80000Pa to atm, mmHg and bar The Correct Answer and Explanation is : Let&#8217;s go step [&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-189817","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189817","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=189817"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/189817\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=189817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=189817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=189817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}