Gibbs free energy (G) is represented by, G = H - TS, whereas Helmholtz free energy, A. is given by, A = E - TS. Which of the following is the Gibbs-Helmholtz equation ?

Correct answer: C. Both A. and B.

  • A. [∂(G/T)/∂T] = - (H/T2)
  • B. [∂(A/T)/∂T]V = - E/T2
  • C. Both A. and B.
  • D. Neither A. nor B.

Explanation

Differentiating G/T at constant pressure gives −H/T², while differentiating A/T at constant volume gives −E/T². Thus both listed relations are valid forms of the Gibbs-Helmholtz equation.

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