   Chapter 18, Problem 14PS

Chapter
Section
Textbook Problem

Calculate the change in entropy of a system with an increase in volume from 1.0 L to 2.0 L.

Interpretation Introduction

Interpretation:

The change in entropy of a system when the volume is increased from 1.0 L to 2.0 L should be calculated.

Concept introduction:

The change in entropy is represented by the symbol ΔrS° and is related to the volume by the expression,

ΔrS°=N k lnVfVi

Here, N is the Avagadro’s number and k is the Boltzmann constant. The product of these two is equal to gas constant R. Thus, the expression is,

ΔrS°=R lnVfVi Vf=Final volumeVi=Initialvolume

The gas constant value of R is 8.314 J/K×mol.

Explanation

Given:

The final volume for the system is 2.0 L.

The initial volume for the system is 1.0 L.

The change in entropy of a system when the volume is increased from 1.0 L to 2.0 L is

calculated as follows,

The expression is,

ΔrS°=R lnVfV

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