How do you arrive at nernst equationwhere does it come from?

Answer 1

The Nernst equation is derived from the principles of thermodynamics and electrochemistry, specifically relating to the relationship between Gibbs free energy and cell potential. It expresses how the electromotive force (EMF) of an electrochemical cell changes with concentration and temperature. Mathematically, it relates the standard cell potential to the concentration of reactants and products using the equation: ( E = E^\circ - \frac{RT}{nF} \ln Q ), where ( E ) is the cell potential, ( E^\circ ) is the standard cell potential, ( R ) is the universal gas constant, ( T ) is the temperature in Kelvin, ( n ) is the number of moles of electrons transferred, ( F ) is Faraday's constant, and ( Q ) is the reaction quotient. This equation allows for the calculation of cell potential under non-standard conditions.