Chemistry - Real Gas Question with Solution | TestHub

van der Waal's equation for one mole of a real gas is

$\left(\text{p}+\frac{\text{a}}{{\text{V}}^2}\right)\left(\text{V}-\text{b}\right)=\text{RT}$

At high pressures, volume of gas being low and thus$\frac{a}{V_{m^2}}$can be neglected. Thus,$\text{p}\left(\text{V}-\text{b}\right)=\text{RT}$

$\text{pV}=\text{RT}+\text{pb}$

or$\frac{\text{pV}}{\text{RT}}=1+\frac{\text{pb}}{\text{RT}}$

$\therefore$Compressibility factor

$\text{Z}=\frac{\text{pV}}{\text{RT}}=1+\frac{\text{pb}}{\text{RT}}$