Chapter 17, Problem 17.54SP

Interpretation Introduction

Interpretation:

The factor by which entropy increase for a collection of 1000 molecule moved from $\text{1}{\text{.00×10}}^{\text{6}}$ boxes to $\text{1}{\text{.00×10}}^{\text{7}}$ boxes and for a move from $\text{1}{\text{.00×10}}^{\text{16}}$ to $\text{1}{\text{.00×10}}^{\text{17}}$ boxes should be determined.

Concept introduction:

The measurement of the degree of disorders of a system is known as entropy. Greater the entropy when the disorder is higher. When the heat is added at a higher temperature the increase in entropy is small, but when heat is added at lower temperature the entropy is higher.

In an isolated chemical system all spontaneous changes occur due to increase in entropy. It basically comes from second law of thermodynamics where each system tries to reach the phase of equilibrium. Entropy such as enthalpy, pressure and temperature are the state property and is denoted from the symbol ‘S’
${\text{ΔS = S}}_{\text{final}}{\text{ - S}}_{\text{initial}}$ or ${\text{ΔS = S}}_{\text{products}}{\text{ - S}}_{\text{reactants}}$