Entropy in an isolated system

Boltzmann Equation for Entropy:

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Lindsey Chheng 1E
Posts: 110
Joined: Fri Aug 30, 2019 12:16 am

Entropy in an isolated system

Postby Lindsey Chheng 1E » Tue Feb 04, 2020 9:46 pm

In the notes, it says "For an isolated system (constant energy) at equilibrium: W is a maximum, therefore entropy is a maximum at equilibrium".
What does maximum mean here?

Kimberly Koo 2I
Posts: 99
Joined: Sat Aug 17, 2019 12:17 am

Re: Entropy in an isolated system

Postby Kimberly Koo 2I » Wed Feb 05, 2020 12:15 am

Since degeneracy is the number of ways to achieve a particular energy state and entropy is the likelihood that the system will be in a particular state, degeneracy (W) being at a maximum probably means that the number of ways to achieve a particular energy state is the highest.

Jessica Chen 2C
Posts: 103
Joined: Thu Jul 11, 2019 12:17 am

Re: Entropy in an isolated system

Postby Jessica Chen 2C » Wed Feb 05, 2020 1:27 am

To be at maximum entropy is to be at the “most random” state. That’s not the best wording but I think Dr. Lavelle’s example in class is helpful: if he opened a sealed beaker of argon gas in the lecture hall, it would diffuse and spread through the entire room until it was at maximum entropy.

Shivam Rana 1D
Posts: 106
Joined: Fri Aug 09, 2019 12:16 am

Re: Entropy in an isolated system

Postby Shivam Rana 1D » Wed Feb 05, 2020 2:19 am

Maximum means that all possible energy states have been realized.


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