Finding a Helmholtz free energy from the equation of state

Alexander Lewis

Alexander Lewis

Answered question

2022-10-22

Finding a Helmholtz free energy from the equation of state

Answer & Explanation

Momellaxi

Momellaxi

Beginner2022-10-23Added 14 answers

The Helmholtz free energy per particle f = F / N, is related to the pressure P by the relation:
P = ρ 2 f ρ | T
Since the partial derivative is taken at constant T, it could be integrated only within an unknown function of T
Additional information, like the specific heat, has to be used in order to find the full ρ and T dependence.

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