## Boltzmann Equation

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

Aya Shokair- Dis 2H
Posts: 58
Joined: Fri Sep 29, 2017 7:07 am

### Boltzmann Equation

From my understanding, I thought Boltzmann's equation was used to calculate only the positional entropy with out taking into account the thermal entropy. So ideally, if there is any positional entropy left at K=0.
However, in the book it says that the Boltzmann formula enables us to calculate the absolute entropy at any temperature.
If we were using any temperature, then does it account for thermal entropy as well?

Aya Shokair- Dis 2H
Posts: 58
Joined: Fri Sep 29, 2017 7:07 am

### Re: Boltzmann Equation

Oh, I think I can answer my own question lol.
When you have an increase in thermal entropy due to an increase in temperature, the system is allowed more possible configurations or mircostates. So that's how it takes into account thermal entropy.
With an increase in temperature, there is an increase in in W (degeneracy).

LMendoza 2I
Posts: 41
Joined: Sat Jul 22, 2017 3:00 am

### Re: Boltzmann Equation

Yes you are correct. As the temperature increases, molecules occupy more energy states so there is a higher degeneracy W.

Clarissa Molina 1D
Posts: 55
Joined: Fri Sep 29, 2017 7:04 am

### Re: Boltzmann Equation

Yes, with an increase in temperature, there is an increase in available microstates so W increases as well. Since W increases, the entropy increases as well.

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