# Specific Heat and Helmholtz Free Energy?

1. Aug 23, 2015

### "pi"mp

I'm wondering if there's a simple relation between the specific heat capacity (at constant chemical potential) and the Helmholtz Free Energy? I can't seem to find a relation in the literature between these three quantities, specifically.

2. Aug 25, 2015

### ExXxEr

There shouldn't be one...
Since $dF = -S\, dT - p\, dV$ or $dF = -S\, dT - p\, dV + \mu \, dN$, F can only be identified with work in isothermal process: $\Delta F = \Delta W$, and not with heat.