# Average energy of a system

1. Dec 9, 2016

### Kara386

1. The problem statement, all variables and given/known data
If the energy of a system depends on $E = \alpha |x|$ where $\alpha$ is positive, what is the average energy of the system?

2. Relevant equations

3. The attempt at a solution
I've been given no information at all about the system beyond the energy. This is within a statistical mechanics course so I assume it involves some sort of distribution function, but as to which one I have no idea. Alternatively it may be related to equipartition theorem because that's what the previous question was about, although that only deals with quadratic contributions to energy I think.

Apparently the answer is $kT$. I'd really appreciate some pointers on how to get there! :)

2. Dec 9, 2016

### TSny

Since the answer involves $T$, which distribution function do you think is most appropriate?