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Q. A gas described by van der Waal's equation

JEE AdvancedJEE Advanced 2008

Solution:

$\left( P +\frac{ n ^{2} a }{ V ^{2}}\right)( V - nb )= nRT$
At low pressure, when the sample occupies a large volume, the molecules are so far apart for most of the time that the intermolecular forces play no significant role, and the gas behaves virtually perfectly.
$a$ and $b$ are characteristic of a gas and are independent of temperature.
The term $\left( P +\frac{ n ^{2} a }{ V ^{2}}\right)$ represents the pressure exerted by an ideal gas while $P$ represents the pressure exerted by a real gas.