Chemical Engineering Thermodynamics
The expression for entropy change given by, ΔS = nR ln (V₂/V₁) + nCv ln (T₂/T₁) is valid for

Simultaneous heating and expansion of an ideal gas
Heating of a substance
Cooling of a substance
Reversible isothermal volume change

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Chemical Engineering Thermodynamics
Gibbs-Duhem equation

States that n₁dμ₁ + n₂dμ₂ + ....njdμj = 0, for a system of definite composition at constant temperature and pressure
None of these
Applies only to binary systems
Finds no application in gas-liquid equilibria involved in distillation

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