Module 5 : Statistical Thermodynamics

Lecture 8 : Application of Partition Function and Relation Between Entropy and Probability

or,

(5.262)

or,

(5.263)

where C is a constant

Hence,

(5.264)

when W = 1, s = 0 ⇒ C = 0

∴ S = K ln W 

(5.265)

Greater the disorder or probability, greater is the entropy.