{"id":207301,"date":"2025-04-21T12:53:06","date_gmt":"2025-04-21T12:53:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=207301"},"modified":"2025-04-21T12:53:09","modified_gmt":"2025-04-21T12:53:09","slug":"in-the-polytropic-process-equation-pvn-constant-if-n-0-the-process-is-called","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/21\/in-the-polytropic-process-equation-pvn-constant-if-n-0-the-process-is-called\/","title":{"rendered":"In the polytropic process, equation pvn = constant, if n = 0, the process is called"},"content":{"rendered":"\n

In the polytropic process, equation pvn = constant, if n = 0, the process is called<\/p>\n\n\n\n

(a) constant pressure (c) constant temperature<\/p>\n\n\n\n

(b) constant volume (d) adiabatic<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

Correct Answer: (a) Constant Pressure<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation:<\/strong><\/h3>\n\n\n\n

The polytropic process<\/strong> is represented by the equation:
[
p v^n = \\text{constant}
]
where:<\/p>\n\n\n\n

    \n
  • ( p ) is pressure,<\/li>\n\n\n\n
  • ( v ) is volume,<\/li>\n\n\n\n
  • ( n ) is the polytropic index<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    This equation describes many thermodynamic processes depending on the value of n<\/strong>. Each specific value of ( n ) corresponds to a different type of process:<\/p>\n\n\n\n

      \n
    • ( n = 0 ): Constant pressure<\/strong><\/li>\n\n\n\n
    • ( n = 1 ): Isothermal (constant temperature)<\/strong><\/li>\n\n\n\n
    • ( n = \\gamma ) (where ( \\gamma = C_p\/C_v )): Adiabatic<\/strong><\/li>\n\n\n\n
    • ( n \\rightarrow \\infty ): Constant volume<\/strong><\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

      Why is it constant pressure when ( n = 0 )?<\/strong><\/h3>\n\n\n\n

      Let\u2019s substitute ( n = 0 ) into the polytropic equation:<\/p>\n\n\n\n

      [
      p v^0 = \\text{constant} \\Rightarrow p \\cdot 1 = \\text{constant} \\Rightarrow p = \\text{constant}
      ]<\/p>\n\n\n\n

      So, if ( n = 0 ), the equation simplifies to ( p = \\text{constant} )<\/strong>, which means the pressure remains unchanged<\/strong> throughout the process \u2014 that is the definition of a constant pressure process<\/strong>, also known as an isobaric<\/strong> process.<\/p>\n\n\n\n

      \n\n\n\n

      Summary of Different n Values in Polytropic Process:<\/strong><\/h3>\n\n\n\n
      Value of ( n )<\/th>Type of Process<\/th>Equation Outcome<\/th><\/tr><\/thead>
      ( n = 0 )<\/td>Constant Pressure (Isobaric)<\/td>( p = \\text{constant} )<\/td><\/tr>
      ( n = 1 )<\/td>Constant Temperature (Isothermal)<\/td>( pv = \\text{constant} )<\/td><\/tr>
      ( n = \\gamma )<\/td>Adiabatic<\/td>( p v^\\gamma = \\text{constant} )<\/td><\/tr>
      ( n \\to \\infty )<\/td>Constant Volume (Isochoric)<\/td>( v = \\text{constant} )<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
      \n\n\n\n

      Therefore, when ( n = 0 )<\/strong> in the polytropic process equation, it represents a constant pressure<\/strong> process.<\/p>\n\n\n\n

      Correct Option: (a) Constant Pressure<\/strong> \u2705<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      In the polytropic process, equation pvn = constant, if n = 0, the process is called (a) constant pressure (c) constant temperature (b) constant volume (d) adiabatic The correct answer and explanation is : Correct Answer: (a) Constant Pressure Explanation: The polytropic process is represented by the equation:[p v^n = \\text{constant}]where: This equation describes many […]<\/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-207301","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207301","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=207301"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207301\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207301"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207301"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207301"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}