For a strictly spontaneous electrochemical reaction operating under constant temperature and pressur — Thermodynamics and Thermochemistry Chemistry Question
Question
For a strictly spontaneous electrochemical reaction operating under constant temperature and pressure, which of the following sets of conditions uniquely apply to the Gibbs free energy change ($\Delta G$), the equilibrium constant ($K_{eq}$), and the standard cell potential ($E^\circ_{cell}$)?
💡 Solution & Explanation
A thermodynamically spontaneous process strictly dictates that the total change in Gibbs free energy is negative ($\Delta G < 0$). Through the relation $\Delta G^\circ = -RT \ln K_{eq}$, a spontaneous forward reaction corresponds to an equilibrium constant greater than 1 ($K_{eq} > 1$). Additionally, $\Delta G = -nFE_{cell}$, so a negative $\Delta G$ mathematically requires a positive cell electromotive force ($E^\circ_{cell} > 0$).