Chapter 4, Problem 4G.1BST

Interpretation Introduction

Interpretation:

The entropy of a solid sample containing $1.\text{0}\text{mol}$ of a substituted benzene molecule, ${\text{C}}_{\text{6}}{\text{H}}_{\text{5}}\text{F}$, in any one of six orientations having the same energy at $T=0$ has to be calculated.

Concept Introduction:

In statistical thermodynamics, entropy is defined as a measure of molecular randomness.  The value of entropy which is obtained with the help of Boltzmann formula is termed as the statistical entropy.  The Boltzmann formula is expressed as;

  $S=k\ln W$

In a sample, each and every arrangement of the molecules results in a distinct state which is called a microstate.  Therefore, the value of $W$ is equivalent to different microstates having the same energy.