 
Summary: Physics 408  Exam 3 Name
You are graded on your work, with partial credit where it is deserved.
Please give clear, wellorganized, understandable solutions.
h = 6.63 x i0 J s [Planck's constantj k 1.38 X 10_23 JfK [Boltzmann constant]
c = 3.00 x 108 mIs [speed of light] G = 6.67 x 10_li N rn2
[gravitational constant]
kg
m = 1.67 x 10_27 kg [mass of neutron] M0 = 1.99 x 1030 kg [solar mass, i.e. mass of Sun]
The variables have their usual meanings: E = energy, S = entropy, V = volume, N = number of particles,
T = temperature, P = pressure, i = chemical potential, B = applied magnetic field, C = heat capacity at
constant volume, F Helmholtz free energy, k = Boltzmann constant. Also, (...) represents an average.
1. The Gibbs free energy G is defined by G = (E)  TS + PV.
(a) (5) Using the standard expression for d (E), obtain dG in terms of dT, dP, and dN.
 d(T5)4 a(pv
& p.*/(JW) (dą 5dT)
EvdPd13
(b) (5) Then obtain 5, V, and u as partial derivatives of G.
Frii Cii1 r/e r p( eri JVS
`i
3TJj V
