If is the ratio of specific heats and R is the universal gas constant, then the molar specific heat at constant volume C _ V is given by

Step-by-step solution

From the Mayer's formula C_ p -C_ V =R and gathered = C_ p C_ V C_ V =C_ p gathered C _ V = C _ p Substituting Eq. (ii) in Eq. (i), we get aligned C_ V -C_ V &=R C_ V ( -1) &=R C_ V &= R -1 aligned