The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Question

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Answer 1

Question

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

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Answer 2

Question

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

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Answer 3

Question

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Answer 6

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.

Particles are indistinguishable.
Not more than one particle can lie in a given state.

Assumptions of Bose-Einstein distribution are given below.

Particles are indistinguishable.
There is no limit on number of particles in a state.

Conclusion:

Thus, the basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Answer 7

Chapter 10, Problem 1Q

To determine

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein; the difference and similarity among them.

Answer 8

Expert Solution & Answer

Answer to Problem 1Q

The basic assumptions of Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein with the differences and similarities between them are given below.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Assumptions of Maxwell-Boltzmann distribution are given below.

Physical properties of particles are same but their position or trajectory is different; it means particles are distinguishable.
Most probable way to distribute the particles among various energy states is equilibrium distribution that is subjected to constraints of fixed number of particles and fixed total energy.
There is no limit on number of particles in a state but not more than one particle can lie in a given state at same time because of low density and high temperature of particles.

Assumptions of Fermi-Dirac distribution are given below.