Chemical Engineering Thermodynamics
A change in state involving a decrease in entropy can be spontaneous, only if

It is isenthalpic
It takes place isothermally
It takes place at constant volume
It is exothermic

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

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

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