{"id":202670,"date":"2025-03-17T19:06:33","date_gmt":"2025-03-17T19:06:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=202670"},"modified":"2025-03-17T19:06:35","modified_gmt":"2025-03-17T19:06:35","slug":"if-the-specific-volume-of-a-certain-gas-is-0-7848-m3-kg","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/17\/if-the-specific-volume-of-a-certain-gas-is-0-7848-m3-kg\/","title":{"rendered":"If the specific volume of a certain gas is 0.7848 m3\/kg"},"content":{"rendered":"\n<p>If the specific volume of a certain gas is 0.7848 m3\/kg, what is its specific weight?<\/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 calculate the <strong>specific weight<\/strong> of a gas, we can use the relationship between <strong>specific volume<\/strong> and <strong>specific weight<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Formula:<\/h3>\n\n\n\n<p>[<br>\\gamma = \\frac{g}{v}<br>]<br>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(\\gamma) is the specific weight (in Newtons per cubic meter, (N\/m^3)),<\/li>\n\n\n\n<li>(g) is the acceleration due to gravity, approximately (9.81 \\, m\/s^2),<\/li>\n\n\n\n<li>(v) is the specific volume (in cubic meters per kilogram, (m^3\/kg)).<\/li>\n<\/ul>\n\n\n\n<p>Alternatively, the specific weight can be calculated using the inverse of specific volume multiplied by the acceleration due to gravity:<br>[<br>\\gamma = \\frac{g}{v}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Specific volume (v)<\/strong> = 0.7848 m\u00b3\/kg.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Calculation:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Formula application:<\/strong><br>[<br>\\gamma = \\frac{9.81 \\, \\text{m\/s}^2}{0.7848 \\, \\text{m}^3\/\\text{kg}}<br>]<\/li>\n\n\n\n<li><strong>Perform the division:<\/strong><br>[<br>\\gamma = 12.5 \\, \\text{N\/m}^3<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the specific weight of the gas is <strong>12.5 N\/m\u00b3<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The <strong>specific weight<\/strong> of a substance is the weight per unit volume, essentially telling us how heavy a specific volume of that substance is. To find the specific weight of a gas, we use the formula (\\gamma = \\frac{g}{v}), where the specific volume ((v)) is given in cubic meters per kilogram and we multiply by the gravitational constant to account for weight.<\/p>\n\n\n\n<p>In this case, we were provided with a specific volume of 0.7848 m\u00b3\/kg. Using this value, we calculated that the specific weight of the gas is 12.5 N\/m\u00b3. This means that each cubic meter of the gas weighs 12.5 Newtons.<\/p>\n\n\n\n<p>The concept of specific weight is important in many applications, including fluid mechanics, thermodynamics, and engineering, as it helps in determining how much force or weight a particular volume of gas will exert under the influence of gravity.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If the specific volume of a certain gas is 0.7848 m3\/kg, what is its specific weight? The correct answer and explanation is : To calculate the specific weight of a gas, we can use the relationship between specific volume and specific weight. Formula: [\\gamma = \\frac{g}{v}]where: Alternatively, the specific weight can be calculated using 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-202670","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202670","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=202670"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/202670\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=202670"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=202670"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=202670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}