- #1
matt_crouch
- 161
- 1
Homework Statement
Consider a system made of 4 quantum fermions that can access 10 distinct states respectively with energies:
En=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
Homework Equations
Ω=G!/m!(G-m)!
s=kBln(Ω)
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. I am 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 won't take that into account. if i can be pointed in the right direction that would be awesome