Question:
A certain gas obeys $P\left(V_{m}-b\right)=R T$. The value
of $\left(\frac{\partial Z}{\partial P}\right)_{T}$ is $\frac{x b}{R T}$. The value of $x$ is_______.
(Integer answer) $(Z$ : compressibility factor)
Solution:
$Z=1+\frac{P b}{R T}$
$\left(\frac{\partial Z}{d P}\right)_{T}=0+\frac{b}{R T} \times 1$