A system of two energy levels Eo and E₁ is populated by N particles at temperature T. The particles populate the energy levels according to the classical distribution law. (a) Derive an expression for the average energy per particle. (b) Compute the average energy per particle as T→ 0 and T→ ∞. (c) Derive an expression for the specific heat of the system of N particles. (d) Compute the temperature T dependence of the specific heat in the limits T→ 0 and T→ ∞o.