System of N particles. Each one can have two possible energies, 0 and ε>0. The excited state of energy ε>0 has degeneration g and the state of zero energy is non degenerate. Total energy of the system is E.
a) Using the microcanonical distribution find how many particles n+ and n0 are in the excited or in the basic state, in temperature T
b) Suppose g=2. If the system has total energy E=0.75Nε, what is its temperature? If it comes into contact with a heat reservoir which is in temperature T=500K to which direction will we have flow of heat? From the reservoir to the system or vice versa?