[QUE/SM-04002] SM-PROBLEM

There are three single particle quantum levels : a {\bf non} degenerate ground state of energy zero and a  doubly degenerate excited state of energy $\epsilon=10k_B\ln 18$ joules. Non-interacting particles obeying Maxwell-Boltzmann statistics occupy these three quantum levels. The closed system is described by a canonical ensemble at temperature $T$. Find the temperature below which more than $90$ percent of the particles would be found in the ground state.

KPN