$C_p$ and $C_v$ are specific heat at constant pressure and constant volume respectively. It is obser

Question

$C_p$ and $C_v$ are specific heat at constant pressure and constant volume respectively. It is observed that $C_p-C_v=a$ for hydrogen gas and $C_p-C_v=b$ for nitrogen gas. The correct relation between $a$ and $b$ is

Professor PC Thomas Classes · Answer

Mayer's relation $C_p - C_v = R/M$. $a = R/2$, $b = R/28$. Thus $a = 14b$.