Maxwell's relation corresponding to the identity, dH = dS = Vdp + Σμi dni is_____________________?

Correct answer: D. (∂T/∂P)S, ni = (∂V/∂S)P, ni

  • A. (∂T/∂V)S, ni = -(∂P/∂S)V, ni
  • B. (∂S/∂P)T, ni = (∂V/∂T)P, ni
  • C. (∂S/∂V)T, ni = (∂P/∂T)V, ni
  • D. (∂T/∂P)S, ni = (∂V/∂S)P, ni

Explanation

For enthalpy expressed as H(S,P,n), its differential contains T dS + V dP, so equality of mixed partial derivatives gives (∂T/∂P)S,n = (∂V/∂S)P,n. The displayed identity appears to omit T from T dS, but option d is the corresponding Maxwell relation.

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