A small system has two energy levels, of energies 0 and ε, and of degeneracies g0 and g1. Find the entropy of this system at temperature T. Calculate the energy and the heat capacity of the system at temperature T. What is the dominant behavior of the heat capacity at very low and at very high temperature? Sketch the heat capacity. How would this sketch be affected by an increase in the ratio g1/g0? Explain this effect qualitatively.