Why is free energy in an isothermal process equivalent to the external work supplied to the system?

jhenezhubby01ff

jhenezhubby01ff

Answered question

2022-09-06

Why is free energy in an isothermal process equivalent to the external work supplied to the system?

Answer & Explanation

bewagox7

bewagox7

Beginner2022-09-07Added 10 answers

Hope you're familiar with a small change in Helmholtz free energy, F, expressed in terms of small changes in its 'natural variables'…
d F = p d V S d T .
Because your change is isothermal, d T = 0. And p d V is the work done on the system, is it not? Not much more to be said (except that it's the change in free energy that's equal to the isothermal work done on the system).

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