{"id":191296,"date":"2025-02-14T11:50:40","date_gmt":"2025-02-14T11:50:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191296"},"modified":"2025-02-14T11:50:42","modified_gmt":"2025-02-14T11:50:42","slug":"air-pressure-at-the-see-level-is-approximately-1-atm-or-760-mm-hg","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/14\/air-pressure-at-the-see-level-is-approximately-1-atm-or-760-mm-hg\/","title":{"rendered":"Air pressure at the see level is approximately 1 atm or 760 mm Hg"},"content":{"rendered":"\n<p>Air pressure at the see level is approximately 1 atm or 760 mm Hg. The meaning of the mercury units is that if you take a column of atmosphere, say 1 cm2 in cross section and as high as the atmosphere goes, its weight will be equal to the weight of a column of mercury with the same 1 cm2 in cross section but only 760 mm high. If atmospheric pressure was measured in water units, it would be equivalent to 10 m of water. Prove that such a column would weigh approximately 1 kg.<\/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 prove that a column of water 10 meters high weighs approximately 1 kg per square centimeter of cross section, we need to use the relationship between pressure, density, and height.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Pressure of a Column of Fluid<\/h3>\n\n\n\n<p>The pressure exerted by a column of fluid is given by the formula:<\/p>\n\n\n\n<p>[<br>P = \\rho g h<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(P) is the pressure at the base of the column.<\/li>\n\n\n\n<li>(\\rho) is the density of the fluid.<\/li>\n\n\n\n<li>(g) is the acceleration due to gravity.<\/li>\n\n\n\n<li>(h) is the height of the fluid column.<\/li>\n<\/ul>\n\n\n\n<p>For water, the typical density (\\rho) is (1000 \\, \\text{kg\/m}^3), and the acceleration due to gravity (g) is (9.81 \\, \\text{m\/s}^2).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Pressure Exerted by a 10-meter Water Column<\/h3>\n\n\n\n<p>For a 10-meter column of water:<\/p>\n\n\n\n<p>[<br>P = 1000 \\, \\text{kg\/m}^3 \\times 9.81 \\, \\text{m\/s}^2 \\times 10 \\, \\text{m}<br>]<\/p>\n\n\n\n<p>[<br>P = 98100 \\, \\text{Pa} \\quad (\\text{Pascal is the unit of pressure, 1 Pa = 1 N\/m}^2)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Find the Weight of the Column of Water<\/h3>\n\n\n\n<p>The weight of the water column depends on its mass. The volume of the water in a column with a cross-sectional area (A) and height (h) is:<\/p>\n\n\n\n<p>[<br>V = A \\times h<br>]<\/p>\n\n\n\n<p>For a 10-meter-high column with a cross-sectional area of 1 cm\u00b2 (or (1 \\times 10^{-4} \\, \\text{m}^2)):<\/p>\n\n\n\n<p>[<br>V = 1 \\times 10^{-4} \\, \\text{m}^2 \\times 10 \\, \\text{m} = 1 \\times 10^{-3} \\, \\text{m}^3<br>]<\/p>\n\n\n\n<p>Now, using the density of water ((\\rho = 1000 \\, \\text{kg\/m}^3)), the mass of the water is:<\/p>\n\n\n\n<p>[<br>\\text{Mass} = \\rho \\times V = 1000 \\, \\text{kg\/m}^3 \\times 1 \\times 10^{-3} \\, \\text{m}^3 = 1 \\, \\text{kg}<br>]<\/p>\n\n\n\n<p>Thus, the weight of the column of water is approximately 1 kg.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The weight of a 10-meter-high column of water with a cross-sectional area of 1 cm\u00b2 is 1 kg. Therefore, the atmospheric pressure at sea level, when measured in water units, corresponds to a 10-meter-high water column weighing approximately 1 kg per cm\u00b2.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Air pressure at the see level is approximately 1 atm or 760 mm Hg. The meaning of the mercury units is that if you take a column of atmosphere, say 1 cm2 in cross section and as high as the atmosphere goes, its weight will be equal to the weight of a column of mercury [&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-191296","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191296","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=191296"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191296\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191296"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191296"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191296"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}