### How to calculate W

Posted:

**Fri Feb 09, 2018 9:43 pm**How do you calculate W in the equation S = kBlnW? What does W represent?

Created by Dr. Laurence Lavelle

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

https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=134&t=27237

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Posted: **Fri Feb 09, 2018 9:43 pm**

How do you calculate W in the equation S = kBlnW? What does W represent?

Posted: **Fri Feb 09, 2018 9:50 pm**

W is the number of ways that the atoms or molecules in the sample can be arranged and yet still give rise to the same total energy, and each arrangement is known as a microstate.

Posted: **Fri Feb 09, 2018 9:52 pm**

W is the degeneracy, or the number of ways of achieving a given entropy value. If you know the desired entropy, you can use the Boltzmann equation to plug in the value you are given along with Boltzmann's constant to solve for W. In this form of solving for W, you would have to use your previous knowledge of natural logs and e to properly solve for the value of W. An easier way to solve for W is to think of it as W=(the number of microstates)^(number of molecules in the system).

Posted: **Fri Feb 09, 2018 11:16 pm**

W represents degeneracy and is the various micro states that the molecule can have at a specific energy.

Posted: **Sat Feb 10, 2018 9:49 am**

See my answer here: viewtopic.php?f=132&t=27255

Posted: **Sun Feb 11, 2018 3:12 pm**

W is the number of ways atoms or molecules can arrange themselves in a system.

You would find it by taking the number of possible states and raising it by the number of particles or compounds that can fill those states.

You would find it by taking the number of possible states and raising it by the number of particles or compounds that can fill those states.

Posted: **Sun Feb 11, 2018 3:13 pm**

W is the number of ways atoms or molecules can arrange themselves in a system.

You would find it by taking the number of possible states and raising it by the number of particles or compounds that can fill those states.

You would find it by taking the number of possible states and raising it by the number of particles or compounds that can fill those states.