The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C _{ P }$ and $C _{ V }$ respectively. If $\gamma=\frac{C_{p}}{C_{V}}$ and $R$ is the universal gas constant, then $C _{ V }$ is equal to
A$\frac{R}{{\gamma - 1}}$
B$\;\frac{{\gamma - 1}}{R}$
C$\;\gamma R$
D$\;\frac{{\gamma + 1}}{{\gamma - 1}}$
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A$\frac{R}{{\gamma - 1}}$
a $C_{P}-C_{V}=R$
$\gamma=\frac{C_{p}}{C_{V}}$
$\Rightarrow C_{V}=\frac{R}{\gamma-1}$
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