Finding a Helmholtz free energy from the equation of state

Alexander Lewis 2022-10-22 Answered
Finding a Helmholtz free energy from the equation of state
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Answers (1)

Momellaxi
Answered 2022-10-23 Author has 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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