A certain gas obeys

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:

$Z=1+\frac{P b}{R T}$

$\left(\frac{\partial Z}{d P}\right)_{T}=0+\frac{b}{R T} \times 1$

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