The value of 10 ! has to be evaluated using the definition of factorial. Concept introduction: Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below. q ≡ ∑ i g i e − β ∈ i It is also known as canonical ensemble partition function.

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Answer 1

Question

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

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Answer 2

Question

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

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Answer 3

Question

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

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Answer 4

Question

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

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Answer 5

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

Answer 6

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

Answer 7

Chapter 13, Problem 13A.2BE

(i)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the definition of factorial.

Concept introduction:

Statistical thermodynamics is used to describe all the possible configurations in a system at given physical quantities such as pressure, temperature, and a number of particles in the system. The important quantity in the thermodynamic is partition function that is represented as shown below.

q≡∑igie−β∈i

It is also known as canonical ensemble partition function.

Answer 8

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

Answer 9

(ii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using Stirling’s approximation.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as shown below.

lnN!≈NlnN−N

It is assumed in the Stirling’s approximation that N is a large number.

Answer 10

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

Answer 11

(iii)

Interpretation Introduction

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).

Answer 12

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Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 13 - Prob. 13A.1ST Ch. 13 - Prob. 13B.1ST Ch. 13 - Prob. 13B.2ST Ch. 13 - Prob. 13C.1ST Ch. 13 - Prob. 13F.1ST Ch. 13 - Prob. 13F.3ST Ch. 13 - Prob. 13A.1DQ Ch. 13 - Prob. 13A.2DQ Ch. 13 - Prob. 13A.3DQ Ch. 13 - Prob. 13A.4DQ

Interpretation: The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation. Concept introduction: As mentioned in the concept of introduction in part (ii).

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Chapter 13 Solutions

Interpretation:

The value of 10! has to be evaluated using the more accurate version of Stirling’s approximation.

Concept introduction:

As mentioned in the concept of introduction in part (ii).