S = kblnW explanation

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

Drew Myers 4G
Posts: 100
Joined: Sat Aug 17, 2019 12:17 am

S = kblnW explanation

Can someone explain what the variables in the equation stand for?

JonathanS 1H
Posts: 101
Joined: Thu Jul 11, 2019 12:17 am

Re: S = kblnW explanation

Entropy is equal to the boltzmann constant times the natural log of (number of states)(number of atoms/molecules/objects).

Sofia Ban
Posts: 80
Joined: Fri Sep 28, 2018 12:25 am

Re: S = kblnW explanation

This equation is for residual or positional entropy where you take into consideration the degeneracy value to determine the entropy value (as opposed to the other equation that takes in values for heat and temperature)

rabiasumar2E
Posts: 108
Joined: Thu Jul 11, 2019 12:15 am

Re: S = kblnW explanation

S= entropy
kB= boltzmann constant
ln= natural log
W= number of states^(number of atoms or molecules)

Daniel Yu 1E
Posts: 100
Joined: Sat Aug 24, 2019 12:15 am

Re: S = kblnW explanation

W is the degeneracy of the system. Entropy is a measure of disorder and thus is related to degeneracy. This equation helps quantify and define this relationship. W is measured by the number of possible states all the molecules in a system could have. If you had 'a' possible configurations and 'n' particles, W would be a^n. S would be found by using KblnW with this equation.

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