(a) Explanation According to the question, the two quanta of energy are to be distributed between the four atoms. The number of ways in which this distribution can be made is calculated by using the Bose-Einstein Statistics. The relation to calculate the number of arrangements for the energy distribution is shown below. Number of arrangement = ( n i + g i − 1 ) ! g i ! ( n i − 1 ) ! (1) Where, n i is the number of particles have to be distributed. g i is the number of quanta of energy. The value of n i is 4 . The value of g i is 2 (b) Interpretation Introduction Interpretation: The number of arrangement for the distribution of two quanta of energy among eight atoms has to be determined. Concept Introduction: Same as part (a). (c) Interpretation Introduction Interpretation: The more disordered system out systems defined in part (a) and part (b) has to be determined. Concept Introduction: Same as part (a).

Chemical Principles: The Quest for Insight

7th Edition

ISBN: 9781464183959

Author: Peter Atkins, Loretta Jones, Leroy Laverman

Publisher: W. H. Freeman

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Question

Chapter 4, Problem 4G.10E

(a)

Interpretation Introduction

Interpretation:

The number of arrangement for the distribution of two quanta of energy among four atoms has to be determined.

Concept Introduction:

The Bose-Einstein Statistics states that the particles are indistinguishable and the unknown number of particles are occupied in the given energy state. The particles having the integral spin obey this statistics such as hydrogen, deuterium, nitrogen, and photons. The special name for the particles that obey the Bose-Einstein Statistics is bosons.

(b)

Interpretation Introduction

Interpretation:

The number of arrangement for the distribution of two quanta of energy among eight atoms has to be determined.

Concept Introduction:

Same as part (a).

(c)

Interpretation Introduction

Interpretation:

The more disordered system out systems defined in part (a) and part (b) has to be determined.

Concept Introduction:

Same as part (a).

Expert Solution & Answer

Chapter 4 Solutions

Chemical Principles: The Quest for Insight

Ch. 4 - Prob. 4A.1AST Ch. 4 - Prob. 4A.1BST Ch. 4 - Prob. 4A.2AST Ch. 4 - Prob. 4A.2BST Ch. 4 - Prob. 4A.3AST Ch. 4 - Prob. 4A.3BST Ch. 4 - Prob. 4A.4AST Ch. 4 - Prob. 4A.4BST Ch. 4 - Prob. 4A.1E Ch. 4 - Prob. 4A.2E

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Interpretation: The number of arrangement for the distribution of two quanta of energy among eight atoms has to be determined. Concept Introduction: Same as part (a).

Interpretation: The more disordered system out systems defined in part (a) and part (b) has to be determined. Concept Introduction: Same as part (a).

Chapter 4 Solutions

Interpretation:

The number of arrangement for the distribution of two quanta of energy among eight atoms has to be determined.

Concept Introduction:

Same as part (a).

Interpretation:

The more disordered system out systems defined in part (a) and part (b) has to be determined.

Concept Introduction:

Same as part (a).