1. Tardigrade
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  3. Chemistry
  4. A certain gas obeys P ( V m - b )= RT. The value of (( partial Z/ partial P )) T is (x b / RT ) The value of x is. (Integer answer) (Z: compressibility factor)

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

JEE MainJEE Main 2021States of Matter

Solution:

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

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