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A particle can occupy one of three available energy levels: 0 = 0, ₁ = aV or ₂ = 2aV, where a is a fixed constant and V is the volume. a) State which ensemble could be used to describe 3 such particles with total energy E = 3aV, and use this ensemble to derive an equation of state for the pressure of this 3-particle system. b) State which ensemble could be used to describe N such particles with a fixed temperature T, and use this ensemble to derive an equation of state for the pressure of this N-particle system. c) State which ensemble could be used to describe a collection of such particles with a fixed temperature T and chemical potential μ, and use this ensemble to derive an equation of state for the pressure and average number of particles in the system.

A particle can occupy one of three available energy levels: 0 = 0, ₁ = aV or ₂ = 2aV, where a is a fixed constant and V is the volume. a) State which ensemble could be used to describe 3 such particles with total energy E = 3aV, and use this ensemble to derive an equation of state for the pressure of this 3-particle system. b) State which ensemble could be used to describe N such particles with a fixed temperature T, and use this ensemble to derive an equation of state for the pressure of this N-particle system. c) State which ensemble could be used to describe a collection of such particles with a fixed temperature T and chemical potential μ, and use this ensemble to derive an equation of state for the pressure and average number of particles in the system.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A particle can occupy one of three available energy levels: 0 = 0, ₁ = aV or ₂ = 2aV, where a is a fixed constant and V is the volume. a) State which ensemble could be used to describe 3 such particles with total energy E = 3aV, and use this ensemble to derive an equation of state for the pressure of this 3-particle system. b) State which ensemble could be used to describe N such particles with a fixed temperature T, and use this ensemble to derive an equation of state for the pressure of this N-particle system. c) State which ensemble could be used to describe a collection of such particles with a fixed temperature T and chemical potential μ, and use this ensemble to derive an equation of state for the pressure and average number of particles in the system.
Transcribed Image Text:A particle can occupy one of three available energy levels: 0 = 0, ₁ = aV or ₂ = 2aV, where a is a fixed constant and V is the volume. a) State which ensemble could be used to describe 3 such particles with total energy E = 3aV, and use this ensemble to derive an equation of state for the pressure of this 3-particle system. b) State which ensemble could be used to describe N such particles with a fixed temperature T, and use this ensemble to derive an equation of state for the pressure of this N-particle system. c) State which ensemble could be used to describe a collection of such particles with a fixed temperature T and chemical potential μ, and use this ensemble to derive an equation of state for the pressure and average number of particles in the system.
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