Finding avg. energy of a canonical system

[Pushoam]

Homework Statement

2. Homework Equations [/B]

The Attempt at a Solution

A) I think , in the question, it is assumed that the system is in contact with a heat reservoir so that its temperature remains constant.
There are n microstates corresponding to the system.
The probability that the system is in the i#_th # microstate is given by Boltzmann Distribution.
$P(E_i) = \frac {e^\frac{- E_i} {k_B T}}{\Sigma_i e^\frac{- E_i} {k_B T}}$
$<E> = \Sigma P(E_i) E_i$
Is this correct so far?

 

[DrClaude]

Is this correct so far?

Yes.

 

[Pushoam]

Thank you.