Summary: Physics 408 -- Exam 3 Name___________________________________________
You are graded on your work, with partial credit where it is deserved.
Please give clear, well-organized solutions.
1. Recall that the Gibbs free energy is defined by
G = E ! TS + PV
where E , T , S , P , and V are (as usual) the energy, temperature, entropy, pressure, and volume.
(a) (5) What are the natural variables of G ?
(b) (5) Obtain a general expression for dG in terms of dT , dP , and dN .
(c) (5) By using the appropriate second derivatives of G , relate