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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 ____

Show Answer

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 $x = b$.


Learning Progress: Step 8 of 24 in this series