### Boltzmann Equation

Posted:

**Sun Feb 02, 2020 7:25 pm**Can someone explain the Boltzmann equation and what it is used to solve for? What is W (degeneracy)? How do you solve for W.

Created by Dr. Laurence Lavelle

https://lavelle.chem.ucla.edu/forum/

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=132&t=58000

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Posted: **Sun Feb 02, 2020 7:25 pm**

Can someone explain the Boltzmann equation and what it is used to solve for? What is W (degeneracy)? How do you solve for W.

Posted: **Mon Feb 03, 2020 10:13 am**

The Boltzmann Equation is: S = K_{B}lnW

It shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged.

It shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged.

Posted: **Mon Feb 03, 2020 10:21 am**

Ashley Fang 2G wrote:The Boltzmann Equation is: S = K_{B}lnW

It shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged.

Accordingly, the Boltzmann equation can be used to solve for entropy.

Posted: **Mon Feb 03, 2020 10:31 am**

To get a number for W, you would have to determine the total number of possible states that your molecule or atoms could be in. For a 2-state system, the total number of possible outcomes your system could have is 2^n, where n= the number of atoms. You would typically use this equation to solve for S, which you could use to plug into delta G = delta H - T delta S to determine whether a reaction is spontaneous or not (spontaneous if G is negative).

Posted: **Mon Feb 03, 2020 10:14 pm**

Can someone walk through an example?