Asystem with two nondegenerate energy levels -/2 and e/2 consists of one particle at temperature t. (a) find the partition function. (b) determine (i) the energy u, () the heat capacity c, and (iii) the entropy s of the system. (c) discuss the behavior of the quantities of (b) at low temperature limit. (d) discuss the asymptotic behavior of the quantities of (b) at high temperature limit. (e) sketch (i) 2u/e, (ii) c/kb, and (iii) s/kp as a function of 2knt/ b as a function ot 2kb