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The chemical potential of a component is the same thing as its

  • A.partial molar volume
  • B.mole fraction times the total Gibbs energy
  • C.partial molar Gibbs energy
  • D.partial molar enthalpy

Answer: C

Correct answer: partial molar Gibbs energy

\[ \mu_i = \bar{G}_i = \left(\frac{\partial (nG)}{\partial n_i}\right)_{T,P,n_j}. \] The identity holds for the Gibbs energy alone among the thermodynamic potentials, and it is what makes chemical potential the working criterion for equilibrium - equality of \( \mu_i \) across phases is what phase equilibrium means.

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