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Electrochemistry & Redox

Free Energy and Cell Potential

The relation linking the Gibbs energy change of a cell reaction to the electromotive force it generates.

Formula / equation ΔG = −nFE
Unit kJ/mol

In depth

The relation shows that a positive cell potential corresponds to a negative free energy change and hence a spontaneous reaction. It also means a measured voltage yields ΔG directly, and combined with ΔG° = −RT ln K it gives equilibrium constants from a simple voltmeter reading.

Examples in the real world

The Daniell cell's 1.10 V corresponds to ΔG° = −212 kJ/mol for the zinc–copper reaction.