(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a system made of 4 quantum fermions that can access 10 distinct states respectively with energies:

E_{n}=n/10 eV with n=1,2,3,4,5,6,7,8,9,10

1) Write the expression for the entropy when the particles can access all states with equal probability

2) Compute the Entropy of the isolated system at energy U =1 eV

3) Compute the entropy of the isolated system at energy 1.1 eV

2. Relevant equations

Ω=G!/m!(G-m)!

s=k_{B}ln(Ω)

3. The attempt at a solution

the first question i think is answered basically by the first equation i gave for the statistical weight because that is for indistinguishable particles with multiple occupancy not allowed. Im a little bit stuck on the 2nd and 3rd questions. The probability of finding a particle in the lowest state must be more probable than finding a particle in the highest state but the equation for the statistical weight wont take that into account. if i can be pointed in the right direction that would be awesome

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# Homework Help: Fermions that can access 10 distinct energy states; Statistical Physics

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