Thermodynamics

Gibbs Free Energy

G=HTSG = H - TS

Maximum non-expansion work at constant T and P. ΔG < 0 for spontaneous processes.

Variables

G
Gibbs free energy
Available work at const P,T
J
H
Enthalpy
H = U + PV
J
T
Temperature
Absolute temperature
K
S
Entropy
System entropy
J/K

Derivation

G = H - TS. At constant T,P: ΔG = ΔH - TΔS. Process is spontaneous if ΔG < 0.

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Common questions

What is the Gibbs Free Energy formula?

Gibbs Free Energy is written G = H - TS. Maximum non-expansion work at constant T and P. ΔG < 0 for spontaneous processes. It belongs to Thermodynamics, under Entropy.

What are the units in G = H - TS?

In SI units, G is gibbs free energy, measured in kg·m²/s²; H is enthalpy, measured in kg·m²/s²; T is temperature, measured in K; S is entropy, measured in kg·m²/(s²·K).

How is the Gibbs Free Energy formula derived?

G = H - TS. At constant T,P: ΔG = ΔH - TΔS. Process is spontaneous if ΔG < 0. The result is G = H - TS.