Chapter 16, Problem 16.45SP

Interpretation Introduction

Interpretation:

Entropy of a collection of molecules in a system of $50000$ boxes is given, the number of molecules has to be calculated.

Concept Introduction:

Boltzmann proposed an equation to calculate the entropy of a system in a particular state by relating it to the number of ways that the state can be achieved.  The equation is given as,

$S=k\ln W$

Where,

$\begin{array}{l}S=\text{ Entropy of the state}\\ \ln \text{ W}\text{= natural logarithm of the number of ways the state can be achieved}\text{.}\\ \text{k}\text{= Boltzmann's constant}\end{array}$