Nernst Equation derivation

[Sydney Pell 2E]

What is the Nernst Equation derived from?

[JohannaPerezH2F]

The Nernst Equation is derived from the Gibbs free energy under standard conditions.

[Brianna Becerra 1B]

The Nernst equation can be derived from ∆G = ∆G° + RT ln Q by substituting ∆G with -n F E(∆G = - n F E). You then divide both sides by - n F. You can then substitute - ∆G°/nF with E°. This then leaves you with E = E° - (RT/nF) lnQ !

[Lauren Tanaka 1A]

The Nernst equation can be derived using the equation for gibbs free energy. This equation is ∆G = ∆G˚ + RTlnQ. You can then set ∆G equal to -nFEcell and ∆G˚ to -nFE˚cell. Then you can divide both sides by -nF.