Question

The reciprocal of compressibility factor of a real gas in the critical state is ?

• A. $\frac{3}{8}$
• B. $\frac{3}{4}$
• C. $\frac{8}{3}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C

$\frac{8}{3}$

Critical compressiblity factor $Z=\frac{P_C{V}_C}{R{T}_C}$
$P_C=\frac{a}{27}{b}^2;Vc=3b,Tc=\frac{8a}{Rb}$
Hence, $Z=\frac{3}{8}or\frac{1}{Z}=\frac{8}{3}$