Question

Value of compressibility factor at critical point is

Answer 1

Answer:

$\frac{3}{8}$

Explanation:

Z = compressibility factor. It indicates the degree to which a given gas deviates from ideal gas behaviour.

$Z =\frac{PV}{RT}$

Critical temperature : T (the temperature of a gas in its critical state, above which it cannot be liquefied by pressure alone)

$T = \frac{8a}{27Rb}$

Critical Pressure : P (the pressure required to liquefy a gas at its critical temperature)

$P = \frac{a}{27b^2}$

Critical volume : V (the volume of certain mass of gas at critical temperature and pressure)

$V = 3b$

Substituting these constants into the equation for Z,

$Z = \frac{3}{8}$