The chemical potential of a component (μi) of a phase is the amount by which its capacity for doing all work, barring work of expansion is increased per unit amount of substance added for an infinitesimal addition at constant temperature and pressure. It is given by_________________?

Correct answer: D. All (A), B. and (C)

  • A. (∂E/∂ni)S, v, nj
  • B. (∂G/∂ni)T, P, nj = (∂A/∂ni) T, v, nj
  • C. (∂H/∂ni)S, P, nj
  • D. All (A), B. and (C)

Explanation

From the fundamental thermodynamic relations, μᵢ equals the partial derivative of E at constant S,V, the partial derivative of G at constant T,P, and the partial derivative of H at constant S,P, with other mole numbers fixed. The corresponding Helmholtz relation in option B is also valid, so all statements apply.

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