Question

Compressibility factor for $H_2$ behaving as real gas is :

• A. 1
• B. $(1-\frac{a}{RTV})$
• C. $(1+\frac{Pb}{RT})$
• D. $\frac{RTV}{(1-a)}$

Answer 1

The correct option is C $(1+\frac{Pb}{RT})$

According to van der waals equation for real gas $\Rightarrow$

$(P+\frac{a}{V^2})(V-b)=Rt$

$\Rightarrow$ Due to negligible force of attraction $\frac{a}{V^2}$ can be neglected.

$\therefore P(V-b)=Rt$

$\Rightarrow PV-Pb=Rt$

$\Rightarrow ZRt-Pb=Rt(AsZ=\frac{PV}{Rt})$

$\Rightarrow Z=\frac{Pb+Rt}{Rt}$

$\Rightarrow Z=1+\frac{Pb}{Rt}$

Hence, the compressibility factor for $H_2$ behaving as real gas is $1+\frac{Pb}{Rt}$.

Therefore, the correct option is C.