Relation of degeneracy and entropy


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Nancy Le - 1F
Posts: 52
Joined: Fri Sep 29, 2017 7:07 am

Relation of degeneracy and entropy

Postby Nancy Le - 1F » Fri Jan 26, 2018 7:40 pm

Can someone explain what increasing/decreasing degeneracy does to entropy?

Hazem Nasef 1I
Posts: 51
Joined: Tue Oct 10, 2017 7:13 am

Re: Relation of degeneracy and entropy

Postby Hazem Nasef 1I » Fri Jan 26, 2018 8:37 pm

Increasing degeneracy results in an increase in entropy of the system. This is shown by the Boltzmann equation: S=kB*ln(W), where w is the degeneracy and S is entropy. Therefore, an increase in w increases the value of S, which is entropy. This also makes sense because degeneracy is the number of ways of achieving a given energy state and entropy is the likelihood that the system will be in a particular state. So, if there are more ways for a system to achieve a certain energy state, then there is a greater likelihood that the system will be in that state.

Salma Quintanilla 1J
Posts: 29
Joined: Wed Nov 23, 2016 3:02 am

Re: Relation of degeneracy and entropy

Postby Salma Quintanilla 1J » Fri Jan 26, 2018 8:44 pm

The number of possible states for a system of given energy is called the degeneracy and it is denoted by g in the equation S=k ln (g). So when there is an increase in the degeneracy the energy level is higher versus when the degeneracy decreases, the energy level is lower.


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