Statistical Mechanics. Carefully explain. Consider N atoms, each with two energy levels E1 and E2 (E2 > E1), non degener

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Statistical Mechanics. Carefully explain.
Consider N atoms, each with two energy levels E1 and E2 (E2 > E1), non degenerate and in thermodynamic equilibrium with a heat source at temperature T, but the total system (atoms + heat source) is isolated. Let n1 and n2 be the populations of the levels with N = n1 + n2, (n1, n2) >> 1. If a quantum transition occurs in one of the systems and energy is transferred to the thermal source, changes in the populations are: n2 → n2 − 1, n1 → n1 + 1.
a) Calculate the entropy change ΔS of the system of N atoms after transition occurs.
b) Calculate the entropy change ΔS′ of the heat source.
c) Calculate the ratio n2/n1 using the results of the previous sections.