Calculating Microstates and Residual Entropy

Boltzmann Equation for Entropy:

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IsabelMurillo3K
Posts: 100
Joined: Wed Sep 30, 2020 9:51 pm

Calculating Microstates and Residual Entropy

Postby IsabelMurillo3K » Sun Feb 21, 2021 6:26 pm

How many microstates are available to a regular dice? What would be the residual entropy associated with a collection of 3 dice?
Hey guys! This was a question that I had on my discussion section practice quiz. I was wondering what steps we would take to solve this problem and what equations/formulas we would need?
Thank you!

Juliet Cushing_2H
Posts: 113
Joined: Wed Sep 30, 2020 9:39 pm

Re: Calculating Microstates and Residual Entropy

Postby Juliet Cushing_2H » Sun Feb 21, 2021 6:31 pm

My guess would be that one regular dice has 6 possible positions, so the degeneracy of 3 dice would be 6^3

Kaihan_Danesh_2J
Posts: 104
Joined: Wed Sep 30, 2020 9:40 pm

Re: Calculating Microstates and Residual Entropy

Postby Kaihan_Danesh_2J » Mon Feb 22, 2021 11:38 am

There are six possible outcomes of the dice, so there are 6 microstates, and you put 6 to the power of whatever number of dice you have to calculate the degeneracy. Then, plug that value into the residual entropy equation, S=Kb * lnW

Susanna Givan 2B
Posts: 144
Joined: Thu Feb 27, 2020 12:16 am

Re: Calculating Microstates and Residual Entropy

Postby Susanna Givan 2B » Sun Mar 14, 2021 11:10 pm

do we need to know how to calculate microstates?


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