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!10"34 J s [Planck's constant] k = 1.38 !10"23 J/K [Boltzmann constant] c = 3.00 !108 m/s [speed of light] G = 6.67 !10"11 N m2 kg2 [gravitational constant] mn = 1.67 !10"27 kg [mass of neutron] M! = 1.99 !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, µ = chemical potential, B = applied magnetic field, CV = 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 . (b) (5) Then obtain S , V , and µ as partial derivatives of G . Now specialize to a system, at fixed temperature and pressure, for which G T,P,N( )= !NkT ln z , z = Collections: Physics