The ratio of specific heats (gamma) of an ide | vedclass

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(D) The ratio of specific heats is defined as $\gamma = \frac{C_P}{C_V}$.From Mayer's relation,we know that $C_P - C_V = R$,which implies $C_V = C_P -

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All of these

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(D) The ratio of specific heats is defined as $\gamma = \frac{C_P}{C_V}$.From Mayer's relation,we know that $C_P - C_V = R$,which implies $C_V = C_P - R$.Substituting this into the ratio,we get $\gamma = \frac{C_P}{C_P - R}$.Also,from $C_P - C_V = R$,we can write $C_P = C_V + R$,so $\gamma = \frac{C_V + R}{C_V} = 1 + \frac{R}{C_V}$.Furthermore,$\gamma = \frac{C_P}{C_P - R} = \frac{1}{\frac{C_P - R}{C_P}} = \frac{1}{1 - \frac{R}{C_P}}$.Since all three expressions are equivalent,the correct option is $D$.

The ratio of specific heats $(\gamma)$ of an ideal gas is given by

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