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Free energy

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Helmholtz and Gibbs energies predict spontaneity.

Key relationG = H − TS

Gibbs free energy G = H − TS decides spontaneity at constant T and P: processes with ΔG < 0 happen. Helmholtz F = U − TS applies at constant volume.

Worked example

Ice melts above 0 °C where TΔS beats ΔH.

Common mistake

Equilibrium has ΔG = 0.

In more detail

Free energy combines energy and entropy to indicate which processes are spontaneous at constant temperature. The Helmholtz free energy is F = U − TS, and the Gibbs free energy is G = H − TS.

Real-world uses

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Frequently asked questions

When is a process spontaneous?

When the free energy change is negative at constant temperature and pressure for Gibbs.

Why is free energy useful?

It combines energy and entropy into one criterion.

When is a reaction spontaneous?

When the change in Gibbs free energy is negative at the given temperature and pressure.

Related topics in Heat & Thermodynamics

Entropy · Entropy change · Statistical entropy · Third law · Maxwell relations · Clausius–Clapeyron equation

← All Heat & Thermodynamics topics