Chemical Engineering Thermodynamics
At equilibrium condition, the chemical potential of a material in different phases in contact with each other is equal. The chemical potential for a real gas (μ) is given by(where, μ = standard chemical potential at unit fugacity (f° = 1 atm.) and the gas behaves ideally.)

μ° + R/T lnf
μ° + T lnf
μ°+ R lnf
μ° + RT ln f

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Chemical Engineering Thermodynamics
The necessary condition for phase equilibrium in a multiphase system of N components is that the

Sum of the chemical potentials of any given component in all the phases should be the same
None of these
Chemical potentials of a given component should be equal in all phases
Chemical potentials of all components should be same in a particular phase

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