Consider a system with two energy levels e0 and e1 whose degeneracies are g0 and g1, respectively. You may assume that e0=0 so that delta e = e1-e0=e1.
A. What will the partition function of this system reduce to at very low temp ( when kbt<< delta e)?
B. what will the partition function of this system reduce to at very high temp ( when kbt>> delta e)?
C. obtain an expression for the avg. energy of this system in terms of g0,g1, and Beta delta e?