F

Free Energy

G = H − TS; ΔG = ΔH − TΔS; ΔG < 0 → spontaneous
Quick Reference
Formula / NotationG = H − TS; ΔG = ΔH − TΔS; ΔG < 0 → spontaneous
Also Known AsGibbs energy, Gibbs free energy (G), free energy, Gibbs function

What is Free Energy?

The thermodynamic potential (Gibbs free energy, G) that measures the maximum work extractable from a system at constant temperature and pressure. ΔG = ΔH - TΔS. Negative ΔG indicates a spontaneous process. Free energy connects enthalpy, entropy, and spontaneity.

Formula & Notation

G = H − TS; ΔG = ΔH − TΔS; ΔG < 0 → spontaneous

Other Names / Synonyms: Gibbs energy, Gibbs free energy (G), free energy, Gibbs function

Properties & Characteristics

Gibbs free energy (G) is the thermodynamic potential that determines the maximum non-expansion work obtainable from a system at constant temperature and pressure, and predicts spontaneity of processes. ΔG = ΔH − TΔS: a reaction is spontaneous (ΔG < 0) when it is both exothermic (ΔH < 0) and increases entropy (ΔS > 0), or when TΔS > ΔH for endothermic reactions at high temperature. At equilibrium, ΔG = 0 and G is at a minimum.

Uses & Applications

Gibbs free energy is used to predict reaction spontaneity, calculate equilibrium constants (ΔG° = −RT ln K), determine battery cell potentials (ΔG = −nFE), design thermodynamic cycles, evaluate phase stability, and assess biological energy changes in metabolism (ATP hydrolysis ΔG).

Safety Information

Reactions with large negative ΔG (highly spontaneous, large exothermic ΔH component) tend to proceed rapidly and exothermically, posing explosion or fire risk. However, ΔG tells only about thermodynamic spontaneity, not rate — kinetic barriers can slow even highly favourable reactions to safe speeds.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Free Energy
Formula G = H − TS; ΔG = ΔH − TΔS; ΔG < 0 → spontaneous
Synonyms Gibbs energy, Gibbs free energy (G), free energy, Gibbs function

Frequently Asked Questions

The thermodynamic potential (Gibbs free energy, G) that measures the maximum work extractable from a system at constant temperature and pressure. ΔG = ΔH - TΔS. Negative ΔG indicates a spontaneous process. Free energy connects enthalpy, entropy, and spontaneity.

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