# Entropy in system of non-degenerate atoms

1. Aug 9, 2016

### vodkasoup

Hi all,

1. The problem statement, all variables and given/known data

A system of non-degenerate multi-level atoms are all in their lowest energy state. Calculate the entropy of the system.

2. Relevant equations

S = kbTln(Ω)

S = Q / T

dU = TdS - pdV

3. The attempt at a solution

I'm not sure how to proceed. I know that Ω is the degeneracy function. If all of the atoms in the system are non-degenerate and in their lowest energy level, does this value equal 1 ? If the atoms are in their lowest energy state, what does this say about the temperature?

Indeed Ω = 1. This is enough to calculate the entropy. Temperature is often identified by $1/T = \Delta S/ \Delta E$, so I suppose we could attempt to calculate it this way but it might be more work.