For a certain system, the energy of each state s is given by
![1298_c7f5838b-77a9-4b3e-a712-0fed17818108.png](https://secure.tutorsglobe.com/CMSImages/1298_c7f5838b-77a9-4b3e-a712-0fed17818108.png)
where β0 and V0 are fixed constants and Cs is a constant whose value depends on the state. Calculate the following for this system in terms of T, V, N:
(a) the partition function,
(b) the average internal energy,
(c) the average pressure,
(d) the average chemical potential,
(e) the standard deviation σ for fluctuations in internal energy,
(f) the average entropy