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## Homework Statement

Consider a system of N particles, with two available energy states, 0 and E. What is the ratio of particles occupying the first state, n

_{0}, to particles occupying the second state n

_{1}?

## Homework Equations

single particle partition function Z=[tex]\Sigma[/tex]exp(-e

_{i}/kt)

system partition function Z

_{sys}=Z^N

## The Attempt at a Solution

Z = exp(0)+exp(-E/kt) = 1+exp(-E/kt)

I then looked at the probability of each state being occupied:

P(0)=1/(1+exp(-E/kt))

P(1)=exp(-E/kt)/(1+exp(-E/kt))

I assumed that the ratio of probabilities P(0)/P(1) was equal to the ratio of particles occupying the first state to the number occupying the second.

P(0)/P(1) = exp(E/kt)

I'm unsure if this is the right method? I don't see how to incorporate the system partition function..