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(A) The molar heat capacity at constant volume is given by $C_v = \frac{f}{2}R$.According to Mayer's relation,the molar heat capacity at constant pres

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$1 + \frac{2}{f}$

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(A) The molar heat capacity at constant volume is given by $C_v = \frac{f}{2}R$.According to Mayer's relation,the molar heat capacity at constant pressure is $C_p = C_v + R$.Substituting the value of $C_v$,we get $C_p = \frac{f}{2}R + R = R(1 + \frac{f}{2}) = R(\frac{f+2}{2})$.The ratio of specific heats is $\gamma = \frac{C_p}{C_v}$.Substituting the expressions,$\gamma = \frac{R(\frac{f+2}{2})}{\frac{f}{2}R} = \frac{f+2}{f} = 1 + \frac{2}{f}$.

If a gas has $f$ degrees of freedom,what is the ratio ${C_p}/{C_v}$?

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