- #1
Sat D
- 11
- 3
- Homework Statement
- Given the partition function of an ideal monoatomic gas, what is the probability that its energy is some ##cU##, where ##U## is the average energy of the ensemble
- Relevant Equations
- ##Z = \frac{1}{N!} \left( \frac{2\pi m k_B T}{h^2} \right)^{3N/2} V^N##
If my partition function is for a continuous distribution of energy, can I simply say that the probability of my ensemble being in a state with energy ##cU## is ##e^{-\beta cU} /Z##? I believe that isn't right as my energy distribution is continuous, and I need to be integrating over small intervals.