Solving for Population of Two Levels in a Two Level System: Stat Mech HW Help

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The discussion focuses on a two-level system with a doubly degenerate ground state and a four-fold degenerate excited state. Participants clarify the need to express the populations of the two levels in terms of probabilities rather than absolute numbers of molecules. The relevant equations include the partition function and the expressions for the populations, specifically using the relationship n_i/N = P_i. The confusion arises over whether to calculate the number of molecules or the probabilities for each level. The final goal is to present the answer in terms of probabilities for clarity.
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Homework Statement


Consider a two level system where the ground state is doubly degenerate and the exited state of energy E is four fold degenerate. Write down the partition function and mathematical expressions for the populations of the two levels.

Homework Equations


z=e-E/kt
ni = N(e-E/kt)/z
ni = NPi
where N is total number of molecules, P is probability, E is energy, k is boltzman constant

The Attempt at a Solution


Ok I don't really need any form of solution for this question I just needed clarification. It is asking me for the expresssions for the population of the two levels. I am getting counfused about if it is asking me for the number of molecules in each level or is it asking for the probability.

Thanks in advance
 
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write the answer in terms of n_i/N=Pi, the probability or the fraction of molecules.
 

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