Verification of a Equation using R-W Equation of State

Question

The R-W equation of state is given as

where P is the pressure, T is the temperature, R is the universal gas constant, Vm is the molar volume, and a and b are constants given as follows:

with Pc and Tc the critical pressure and temperature, respectively. Verify the following equation:

where f is the fugacity coefficient and Z is the compressibility factor.

Summary

This question belongs to thermodynamics and discusses about R-W equation of state and to verify the given equation.

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