Chapter 18, Problem 13PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Calculate the change in entropy for a system in going from a condition of 5 accessible microstates to 30 accessible microstates.

Interpretation Introduction

Interpretation:

The change in entropy of the system in going from 5 accessible microstates to 30 accessible microstates should be calcualted.

Concept introduction:

EntropyS: it is used to describe the disorder. It is the amount of arrangements possible in a system at a particular state. ΔSuniv=ΔSsys+ΔSsurr

The entropy of a system S is directly proportional to the number of accessible microstates, represented by the symbol W. The relationship can be expressed by the Boltzmann equation,

S = k lnW

Here, k is Boltzmann constant whose value is equal to 1.381×1023 J/K

The change in entropy can be represented as,

ΔS=ln(WfinalWinitial)

Explanation

The change in entropy of the system in going from 5 accessible microstates to 30 accessible microstates is calculated as follows,

Given: A system going from 5 microstates to 30 microstates.

The change in entropy can be represented as,

ΔS=ln(WfinalWinitial)

Here, Wfinal=30W</

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