Physics 408 --Exam 3 Name You are graded on your work, with partial credit where it is deserved. Summary: Physics 408 -- Exam 3 Name You are graded on your work, with partial credit where it is deserved. Please give clear, well-organized, 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 Collections: Physics