The density of nitrogen molecules is larger at a sea level than at a higher elevation. Assuming thermal equilibrium, what is the altitude dependence of the (Helmholtz)free energy per particle?
F=U-TS, not sure if anything else is relevant
The Attempt at a Solution
My initial guess is no. Mainly because looking at the equation for free energy, the temperature is the same because of thermal equilibrium, and the internal energy is the same. Since we are talking about free energy per particle, I would imagine density would have nothing to do with it. But at a higher altitude, the pressure would be less, and I am not exactly sure how pressure affects the free energy. Thanks. My options are that the free energy would be:
greater at sea level compared to higher elevation
less than sea level