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  4. For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/chemistry/503d7f33cd5ff454b453d6914d2978ad-.png /> What is the value of compressibility factor at point A ?

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Q. For $1\, mol$ of gas, the plot of $pV$ vs. $p$ is shown below. $p$ is the pressure and $V$ is the volume of the gas
image
What is the value of compressibility factor at point $A$ ?

JEE MainJEE Main 2023States of Matter

Solution:

For 1 mole of real gas
$PV = ZRT$
from graph PV for real gas is less than PV for ideal gas at point $A$
$ Z < 1 $
$Z=1-\frac{a}{ V _{ m } RT }$