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### 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.

### Re: Boltzmann Equation

Posted: Mon Feb 03, 2020 10:13 am
The Boltzmann Equation is: S = KBlnW
It shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged.

### Re: Boltzmann Equation

Posted: Mon Feb 03, 2020 10:21 am
Ashley Fang 2G wrote:The Boltzmann Equation is: S = KBlnW
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.

### Re: Boltzmann Equation

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).

### Re: Boltzmann Equation

Posted: Mon Feb 03, 2020 10:14 pm
Can someone walk through an example?