हिंदी

The molar specific heat of an ideal gas at constant pressure and constant volume is 'Cp' and 'Cv' respectively. If 'R' is the universal gas constant and the ratio 'Cp' to 'Cv' is 'γ' then CV = ______. -

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प्रश्न

The molar specific heat of an ideal gas at constant pressure and constant volume is 'Cp' and 'Cv' respectively. If 'R' is the universal gas constant and the ratio 'Cp' to 'Cv' is 'γ' then CV = ______.

विकल्प

  • `(1-gamma)/(1+gamma)`

  • `(1+gamma)/(1-gamma)`

  • `(gamma-1)/"R"`

  • `"R"/(gamma-1)`

MCQ
रिक्त स्थान भरें

उत्तर

The molar specific heat of an ideal gas at constant pressure and constant volume is 'Cp' and 'Cv' respectively. If 'R' is the universal gas constant and the ratio 'Cp' to 'Cv' is 'γ' then CV = `underline("R"/(gamma-1))`

Explanation:

Given:

`"C"_"p"/"C"_"v"= gamma`

`therefore ("C"_"p" - "C"_"v")/"C"_"v"= (gamma - 1)/1`

`therefore "R"/"C"_"v"= gamma - 1`  ....`(because "C"_"p" - "C"_"v" = "R")`

`therefore "C"_"v" =  "R"/ (gamma - 1)`

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