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The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If γ = Cp/Cv and R is the universal gas constant, then Cv is equal to
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R γ - 1 -
(γ - 1) R - γR
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1 + γ 1 - γ
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Correct Option: A
Cp – Cv = R ⇒ Cp = Cv + R
∵ γ = | = | ⇒ | + | ||||
Cv | Cv | Cv | Cv |
⇒ γ = 1 + | ⇒ | = γ - 1 | ||
Cv | Cv |
⇒ Cv = | ||
&gamm; - 1 |