Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781285969770
Author: Ball
Publisher: Cengage
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Chapter 17, Problem 17.5E
Interpretation Introduction

(a)

Interpretation:

By using Stirling’s approximation, the value of 6.02×1023! is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

C=N!ni!i=1m

Where,

N is the object.

If the value of N is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of N is,

lnN!NlnNN

Interpretation Introduction

(b)

Interpretation:

By using Stirling’s approximation, 10100! is to be estimated.

Concept introduction:

Combination formula is a possible way of grouping of distinguishable objects into various subsystems. The equation for combination formula is as follows:

C=N!ni!i=1m

Where,

Nis the object.

If the value of N is large, then the Stirling’s approximation method is used to estimate factorials. The Stirling’s approximation for large value of N is,

lnN!NlnNN

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Physical Chemistry

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