### Boltzmann equation

Posted:

**Sun Feb 09, 2020 11:35 pm**When would we use the Boltzmann equation? How does it relate to entropy?

Created by Dr. Laurence Lavelle

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

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=133&t=58900

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Posted: **Sun Feb 09, 2020 11:35 pm**

When would we use the Boltzmann equation? How does it relate to entropy?

Posted: **Sun Feb 09, 2020 11:41 pm**

The Boltzmann equation is giving the residual entropy of the system. Entropy is the amount of "disorder" and the Boltzmann equation is sort of giving a statistical answer of all the possible orientations and positions of all the molecules in the system.

Posted: **Sun Feb 09, 2020 11:42 pm**

You would only use the Boltzmann equation if the reaction is at 0K and no other forms of entropy are occurring. This equation measures the residual/positional entropy of molecules.

Posted: **Sun Feb 09, 2020 11:44 pm**

The Boltzmann equation gives the relationship between the entropy of a system and the number of different ways or microstates that the system can be arranged on energy levels which is w.

Posted: **Sun Feb 09, 2020 11:47 pm**

The Boltzmann Equation gives a relationship between entropy S and degeneracy W. Degeneracy describes all the possible microstates (i.e. positions) that might be occupied by the molecules of a system. They're related because entropy is the tendency towards disorder, and degeneracy describes all the ways in which the elements of a system might be distributed. You'll be given the Boltzmann constant k(B) and probably the number of states. You'll then calculate entropy using S = k(B).ln W

Posted: **Sun Feb 09, 2020 11:49 pm**

The Boltzmann equation strictly talks about the residual entropy that is relating to degeneracy in disorder. The W represents the amount of micro states raise to the power of the number of particles. The Kb is the Boltzmann constant