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(D) For a diatomic gas,the molar specific heat at constant volume is given by the formula $C_V = \frac{f}{2}R$,where $f$ is the degrees of freedom.For

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Approximately equal and its value is $5 \, cal/mole/^{\circ}C$

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(D) For a diatomic gas,the molar specific heat at constant volume is given by the formula $C_V = \frac{f}{2}R$,where $f$ is the degrees of freedom.For a diatomic gas at moderate temperatures,the degrees of freedom $f = 5$ ($3$ translational + $2$ rotational).Thus,$C_V = \frac{5}{2}R$.Using the value of the universal gas constant $R \approx 2 \, cal/mol \cdot K$,we get $C_V \approx \frac{5}{2} 	imes 2 = 5 \, cal/mol \cdot ^{\circ}C$.Since all diatomic gases have the same degrees of freedom at these temperatures,their molar specific heat at constant volume is approximately equal to $5 \, cal/mol \cdot ^{\circ}C$.

At constant volume,for different diatomic gases the molar specific heat is

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