# System of particles with non-degenerate energy levels

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1. Nov 2, 2016

### Elvis 123456789

1. The problem statement, all variables and given/known data
A system has three non-degenerate energy levels with energies 0, ε, and 2ε.

a) Calculate the entropy of the system if the three levels are populated by two distinguishable particles such that the total energy is U=2ε.

b) Calculate the entropy of the system if the three levels are populated by three distinguishable particles such that the total energy is U=2ε.

2. Relevant equations
S = kBln(ω)

3. The attempt at a solution
my main question for this problem is the meaning of non-degenerate energy levels. I understand it to mean that the energy levels are at most occupied by 1 particle. So for part a.) ω = 2 and that would be ω = 3 if the energy levels were to be degenerate. Is this correct?

2. Nov 2, 2016

### Staff: Mentor

No, it means that a particle that has an energy, e.g., ε can only be in one state. If the levels were doubly degenerate, then the same particle could be in one of two levels with that energy. That of course will change the multiplicity.