Chemical Engineering Thermodynamics
It is desired to bring about a certain change in the state of a system by performing work on the system under adiabatic conditions.

Work alone can not bring out such a change of state
More information is needed to conclude anything about the path dependence or otherwise of the work needed
The amount of work needed is path dependent
The amount of work needed is independent of path

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

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
Sum of the chemical potentials of any given component in all the phases should be the same

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