Q29 / 90 · JEE Main 2021 (26 Feb Shift 1) · Chemistry

A certain gas obeys $P (V_{m} - b) = RT$ . The value of ${(\frac{\partial Z}{\partial P})}_{T}$ is $\frac{xb}{RT}$ . The value of $x$ is (Integer answer) ( $Z$ : compressibility factor)

Correct answer: 1

Solution

$Z = 1 + \frac{Pb}{RT}$

${(\frac{\partial Z}{dP})}_{T} = 0 + \frac{b}{RT} \times 1$

Hence, the correct answer is 1.

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