JEE PYQ: States Of Matter Question 8
Question 8 - 2021 (26 Feb Shift 1)
A certain gas obeys $P(V_m - b) = RT$. The value of $\left(\frac{\partial Z}{\partial P}\right)_T$ is $\frac{x}{RT}$. The value of $x$ is ____
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Answer: 1
Solution
$P(V_m - b) = RT \Rightarrow PV_m = RT + Pb \Rightarrow Z = 1 + \frac{Pb}{RT}$. $\left(\frac{\partial Z}{\partial P}\right)_T = \frac{b}{RT}$. So $x = b$.