# Consider a system of two Einstein solids, with NA = 300, ## Problem 29P Chapter 2

An Introduction to Thermal Physics | 1st Edition

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Problem 29P

Consider a system of two Einstein solids, with NA = 300, NB = 200, and (qtotal = 100 (as discussed in Section 2.3). Compute the entropy of the most likely macrostate and of the least likely macrostate. Also compute the entropy over long time scales, assuming that all microstates are accessible. (Neglect the factor of Boltzmann’s constant in the definition of entropy; for systems this small it is best to think of entropy as a pure number.)

Step-by-Step Solution:
Step 1<p>In this system we have and and .

The maximum probable microstate is when . And minimum probable microstate is when .

Now we have to calculate the entropy as pure number (ignoring the boltzmann's constant) for the both states.

Step 2<p>The total number of microstates  in the most probable state is (given in the book)

Hence the entropy is Hence the entropy of the most probable state is 264.

Step 3 of 3

##### ISBN: 9780201380279

This full solution covers the following key subjects: entropy, likely, macrostate, compute, accessible. This expansive textbook survival guide covers 10 chapters, and 454 solutions. Since the solution to 29P from 2 chapter was answered, more than 233 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 29P from chapter: 2 was answered by Sieva Kozinsky, our top Physics solution expert on 07/05/17, 04:29AM. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1st. The answer to “Consider a system of two Einstein solids, with NA = 300, NB = 200, and (qtotal = 100 (as discussed in Section 2.3). Compute the entropy of the most likely macrostate and of the least likely macrostate. Also compute the entropy over long time scales, assuming that all microstates are accessible. (Neglect the factor of Boltzmann’s constant in the definition of entropy; for systems this small it is best to think of entropy as a pure number.)” is broken down into a number of easy to follow steps, and 77 words. An Introduction to Thermal Physics was written by Sieva Kozinsky and is associated to the ISBN: 9780201380279.

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