Question

At very high pressures, the compressibility factor of one mole of a gas is given by :

• A. $\frac{pb}{RT}$
• B. $1+ \frac{pb}{RT}$
• C. $1- \frac{pb}{RT}$
• D. $1- \frac{b}{(VRT)}$

Answer 1

Answer: (A)

$\frac{pb}{RT}$

Answer 2

$\left(P+\frac{a}{V^{2}}\right)\left(v-b\right)=RT$
at very high pressure $P >>\frac{a}{V^{2}}$
so, $\frac{a}{V^{2}}$ is negligible
$P\left(V-b\right)=RT$
$PV-Pb=RT$
$\therefore Z=1+\frac{pb}{RT}$ compremibilityfactor