Battery knowledge · Electrochemistry fundamentals

Gibbs free energy

The maximum useful work a reaction can deliver at constant temperature and pressure. For a cell it equals the charge transferred times the cell voltage, with a negative sign, which ties the thermodynamics of the materials to the voltage on the terminals. [1]

Abbreviation
ΔG
Unit
kJ/mol
Relationship
ΔG = −nFE

Example

Convert voltage to molar free energy

For a one-electron reaction with equilibrium voltage 3.0 V, ΔG = −nFE is approximately −289 kJ/mol. The sign refers to the reaction direction and the equilibrium electrical work.

Explore the graph

A spontaneous forward cell reaction has negative Gibbs energy and positive equilibrium voltage under this convention.

Reaction free energy
Reaction free energyEquilibrium cell voltage (V) versus ΔG (kJ/mol reaction). Free-energy change. Interpretation follows the graphs.-4820-3621.25-2412.5-1213.7505Equilibrium cell voltage (V)ΔG (kJ/mol reaction)
Free-energy change

At 3.7 V, ΔG = -357 kJ/mol reaction for n = 1.

ΔG = −nFE

Illustrative model. Equilibrium relation at fixed temperature and pressure. No reaction chemistry, activity model or loaded voltage is calculated.

Use in Lemonergy

Connect reaction sites and transport paths.

This is a reference concept. No executable Lemonergy block has been verified for this term.

References & further reading

Technical references

  1. Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing

    IUPAC · 2011

    Technical reference · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.