QJEEM24Ph5a39: JEE Main 2024 Physics - Class 11 JEEM24Ph5a39 Solution: The specific heat at constant pressure of a real gas obeying…

$\begin{aligned}& \because \quad P V^2=R T \\& P(2 v d v)+V^2(d P)=R d T\end{aligned}$

at $P=$ const.

$P d v=\frac{R d T}{2 V} \quad \text{... (i)}$

Now, for $n=1$

$\begin{aligned}& d \theta=d v+d w \\& C_P d T=C_v d T+P d v \quad \text{... (ii)}\end{aligned}$

from (i) and (ii)

$C_P=C_V+\frac{R}{2 V}$