Solution:
Mayer's relation for molar heat capacities is $C_P - C_V = R$. Since molar heat capacity is related to specific heat capacity by $C = Mc$, we have $M C_p - M C_v = R$, which gives $C_p - C_v = \frac{R}{M}$.
Mayer's relation for molar heat capacities is $C_P - C_V = R$. Since molar heat capacity is related to specific heat capacity by $C = Mc$, we have $M C_p - M C_v = R$, which gives $C_p - C_v = \frac{R}{M}$.
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