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  4. The compressibility factor for a real gas at high pressure is :

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Q. The compressibility factor for a real gas at high pressure is :

AIEEEAIEEE 2012States of Matter

Solution:

$\left(P+\frac{a}{V^{2}}\right)\left(V-b\right) = RT$
at high pressure $\frac{a}{V^{2}}$ can be neglected
$PV - Pb = RT$
$PV = RT + Pb$
$\frac{PV}{\text{RT} } = 1 + \frac{Pb}{RT}$
$Z = 1+\frac{Pb}{RT}\quad;\quad Z > 1$ at high pressure