# Ultra-relativistic gas average energy as E(T)

1. Dec 14, 2014

### prehisto

1. The problem statement, all variables and given/known data
Ultra-relativistic particle with energy epsilon and momentum p is described by epsilon=cp. Find average energy E(T) of gas which consists of particles described above.

2. Relevant equations
So i think i should use this kind of equations(please use the link below)
http://postimg.org/image/wwhct3lev/full/
So i know the general form of Partition integral and i think i could calculate the average energy using Helmholtz formula.
The problem now is how to represent the Partition integral according to my problem.

P.s. I apologize for using image instead of Latex( which does not work for me)

2. Dec 19, 2014