Entropy and Disorder: Statistical Interpretation

This lecture concludes the discussion on the relationship between entropy orders and the statistical interpretation of entropy, focusing on the Joule expansion example to calculate the multiplicity of microstates. By analyzing the adiabatic expansion of Joule, the instructor explains how to calculate the number of microstates for the final state after the irreversible expansion. The lecture delves into the concept of macrostates and microstates, illustrating how the probability of specific microstates changes as the number of particles increases. Through examples with coins and detailed calculations using the binomial coefficient formula, the lecture demonstrates how to determine the most probable configuration and the corresponding number of microstates. The instructor also explores the significance of the most probable state in terms of disorder and probability, emphasizing the state with 50% of particles on each side as the most probable and disordered state.