Consider a 2-level system with an energy splitting between the upper and lower level. Using Boltzmann statistics, show that the heat capacity of the 2-level system equals: (see attachment for equation)

What happens in the limit of (see attachment for equation)

Before you look at the solutions, you can try to solve the problem the following way:
<br>
<br>Set one energy level to zero, so the other is kD.
<br>Now use the Boltzmann statistics to find what is the probability of ...

Solution Summary

The solution shows how to find the system's partition function and how to obtain the desired parameter.

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Each of three bodies has a temperature-independent heatcapacity C. The three bodies have initial temperatures of T1, T2, and T3 . What is the maximum amount of work that can be extracted leaving the three bodies at a common final temperature?

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(a) Find the maximum mechanical work tha

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a. 35 j
b. 1.5 * 10^8j
c. 1.5 * 10^5j
d. 3.5 * 10^4j

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b) You begin with two samples each contai