Chapter 4, Problem 4I.3BST

Interpretation Introduction

Interpretation:

The value of $\Delta \text{S}$, $\Delta {\text{S}}_{surr}$ and $\Delta {\text{S}}_{tot}$ for reversible and isothermal compression of ideal gas molecules has to be determined.

Concept Introduction:

The degree of randomness in a system is the predicted according to its respective entropy.  Higher the entropy, greater will be the disorder in the system.  The mathematical expression for the calculation of entropy for an isothermal expansion in terms of initial and final volume is shown below.

$\Delta \text{S}=\text{nR}\text{ln}\left(\frac{{\text{V}}_2}{{\text{V}}_1}\right)$