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1. Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ɛ, 2ɛ, 3ɛ, 4ɛ, 5ɛ, 6ɛ,.. The assembly has three particles and a total energy of 7ɛ. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable

1. Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ɛ, 2ɛ, 3ɛ, 4ɛ, 5ɛ, 6ɛ,.. The assembly has three particles and a total energy of 7ɛ. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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1. Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ɛ, 2ɛ, 3ɛ, 4ɛ, 5ɛ, 6ɛ,.. The assembly has three particles and a total energy of 7ɛ. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermions 2. Consider a container of dilute monatomic helium gas. The total internal energy of the gas is 2000J and the average speed of the helium atoms in the gas is 1300 ms-1. Treating the helium as an ideal gas, calculate the heat capacity at constant volume, Cy, of the helium gas in the container.
Transcribed Image Text:1. Consider a model thermodynamic assembly in which the allowed one-particle states have energies 0, ɛ, 2ɛ, 3ɛ, 4ɛ, 5ɛ, 6ɛ,.. The assembly has three particles and a total energy of 7ɛ. Identify the possible particle number distributions and calculate the average distribution of the three particles in the energy states when the particles are (a) localized and distinguishable (b) gaseous bosons (c) gaseous fermions 2. Consider a container of dilute monatomic helium gas. The total internal energy of the gas is 2000J and the average speed of the helium atoms in the gas is 1300 ms-1. Treating the helium as an ideal gas, calculate the heat capacity at constant volume, Cy, of the helium gas in the container.
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