Thermodynamics

Helmholtz Free Energy

F=UTSF = U - TS

Maximum work extractable at constant T and V. Also denoted A.

Variables

F
Helmholtz free energy
Available work at const V,T
J
U
Internal energy
Total internal energy
J
T
Temperature
Absolute temperature
K
S
Entropy
System entropy
J/K

Derivation

F = U - TS. At constant T,V: ΔF = ΔU - TΔS. Minimum F at equilibrium.

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Common questions

What is the Helmholtz Free Energy formula?

Helmholtz Free Energy is written F = U - TS. Maximum work extractable at constant T and V. Also denoted A. It belongs to Thermodynamics, under Entropy.

What are the units in F = U - TS?

In SI units, F is helmholtz free energy, measured in kg·m²/s²; U is internal energy, measured in kg·m²/s²; T is temperature, measured in K; S is entropy, measured in kg·m²/(s²·K).

How is the Helmholtz Free Energy formula derived?

F = U - TS. At constant T,V: ΔF = ΔU - TΔS. Minimum F at equilibrium. The result is F = U - TS.