a) The system consists of N >> 1 oscillator of total energy E in thermodynamic equilibrium. Determine the probability of finding the system in the quantum state n. If N >> 1 then M >> n. An ideal gas, consisting of N molecules in thermodynamic equilibrium, has a total energy of E. Show that the probability of finding particles that have energy = is proportional to e-/kT 2m b) Determine the thermal equation of state for the system of moving particles so that the relationship between energy and pulse intensity is given by the relation = f(p). Assume that the system is in contact with the temperature thermostat T and that the particles interact (negligibly) with each other.