Final answer:
The Butler-Volmer equation and the Nernst equation are two fundamental equations in electrochemistry. At equilibrium, the Butler-Volmer equation collapses into the Nernst equation.
Step-by-step explanation:
The Butler-Volmer equation and the Nernst equation are two fundamental equations in electrochemistry. The Butler-Volmer equation describes the rate of an electrochemical reaction, while the Nernst equation relates the cell potential to the concentration of reactants and products in the redox reaction.
At equilibrium, when the free energy change (AG) is zero, the Butler-Volmer equation collapses into the Nernst equation. This is because the reaction quotient (Q) is equal to the equilibrium constant (K), and there is no net transfer of electrons.