Write out the integral (∆x) and derivative (dx) forms of the gibbs free energy in terms of other more basic energy variables (two related equations).
depending on the physical conditions that are being controlled, a system’s equilibrium state could be defined by four different minimum energy states (lowest u, lowest h, lowest a, or lowest g). explain when u would be the quantity that goes to a minimum at equilibrium, and how you would set up the correct conditions to make that happen.
in your own words, explain what the partial derivative that defines "chemical potential" means (what physical change does it describe, and under what specific conditions? )