Question

Comprehensibility 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 $(1+\frac{Pb}{RT})$

Compressibility factor Z is basically the ratio $\frac{PV}{nRT}$

real gas law =$(P+\frac{n^{2}a}{V^2})(V-nb)=RT$

a' is a measure for the attraction between the particles, and b' is the average volume excluded from v by a particle. Like helium, a hydrogen molecule also has two electrons, and so the intermolecular forces are going to be small and 'a' is =0.

$P(V-nb)=RT\Rightarrow \frac{PV}{nRT}=(1+\frac{Pb}{RT})$