According to fundamental thermodynamic definitions and exact Maxwell relations, which of the followi — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

The fundamental equation for Gibbs Free Energy is $dG = VdP - SdT$. (A) Holding pressure constant ($dP = 0$), we get $(\frac{\partial G}{\partial T})_P = -S$. (B) Holding temperature constant ($dT = 0$), we get $(\frac{\partial G}{\partial P})_T = V$. (C) This is the classic Gibbs-Helmholtz equation, derived by substituting $-S$ with $(\frac{\partial \Delta G}{\partial T})_P$ in the defining equation $\Delta G = \Delta H - T\Delta S$. Option D is incorrect; $-P$ is strictly the partial derivative of the Helmholtz Free Energy ($A$) with respect to volume at constant temperature.