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# Starting with the result of Problem, find a formula for

ISBN: 9780201380279 40

## Solution for problem 5P Chapter 3

An Introduction to Thermal Physics | 1st Edition

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Problem 5P

Starting with the result of Problem, find a formula for the temperature of an Einstein solid in the limit q ≪ N. Solve for the energy as a function of temperature to obtain U = Nϵe−ϵ/kT (where ϵ is the size of an energy unit).

Problem:

Use the methods of this section to derive a formula, similar to below equation, for the multiplicity of an Einstein solid in the “low-temperature” limit, q≪ N.

Equation:

Step-by-Step Solution:

Step 1:-

The number of microstates is given as,

-----------------------(1)

The total energy of the system is,

----------------------------(2)

--------------------------(3)

Step 2:-

So, now the number of microstates of the system we can write in terms of the internal energy.

The entropy of the system is,

--------------------(4)

Step 3 of 3

##### ISBN: 9780201380279

This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. The full step-by-step solution to problem: 5P from chapter: 3 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. This full solution covers the following key subjects: temperature, Energy, solid, Einstein, equation. This expansive textbook survival guide covers 10 chapters, and 454 solutions. Since the solution to 5P from 3 chapter was answered, more than 293 students have viewed the full step-by-step answer. The answer to “Starting with the result of Problem, find a formula for the temperature of an Einstein solid in the limit q ? N. Solve for the energy as a function of temperature to obtain U = N?e??/kT (where ? is the size of an energy unit).Problem:Use the methods of this section to derive a formula, similar to below equation, for the multiplicity of an Einstein solid in the “low-temperature” limit, q? N.Equation:” is broken down into a number of easy to follow steps, and 71 words.

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