An Introduction to Thermal Physics
An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 6.1, Problem 5P

(a)

To determine

Partition function of a system.

(b)

To determine

Probability of finding the particle.

(c)

To determine

The partition function of a system and the probability of the finding the particle.

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Q5: Imagine a particle that can be in only three states, with energies -0.05 eV, 0 eV, and 0.05 eV. This particle is in equilibrium with a reservoir at 300 K. (a) Calculate the partition function for this particle. (b) Calculate the probability for this particle to be in each of the three states.
The atoms in a solid possess a certain minimum zero-point energy even at 0 K, while no such restriction holds for the molecules in an ideal gas. Use the uncertainty principle to explain these statements.
Use Boltzmann distribution to solve this problem.A system consists of 3, 000 particles that can only occupy two energy levels: a nondegen-erate ground state of 0.052 eV and a threefold degenerate excited state at 0.156 eV. IfT = 900 K,(a) find the number of particles at each energy level.(b) what is the total energy of the system?
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