Question

The reciprocal of compressibility factor of a real gas in the
critical state is
(a) 3/8
(b) 3/4
(c) 8/3
(d) 1/3

Answer 1

The reciprocal of compressibility factor of a real gas in the  critical state is 3/8.

​Option (A) is correct.

Explanation:

Let us consider the problem:

• Compressibility factor is a useful thermodynamic character for ideal gases.
• It is used to modify the ideal gas law.
• It determines the deviation of thermodynamic characteristics of an ideal gas.

Since:

RT C  / PC V C =  8 / 3

Therefore,

Z  =  PC V C / RTC  =  3 / 8  (at critical condition)

Thus the reciprocal of compressibility factor of a real gas in the  critical state is 3/8.

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