Solved: Prove that, for any system in equilibrium with a

Chapter 6, Problem 18P

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QUESTION:

Problem 18P

Prove that, for any system in equilibrium with a reservoir at temperature T, the average value of E2 is

Then use this result and the results of the previous two problems to derive a formula for σ E in terms of the heat capacity, You should find

Questions & Answers

QUESTION:

Problem 18P

Prove that, for any system in equilibrium with a reservoir at temperature T, the average value of E2 is

Then use this result and the results of the previous two problems to derive a formula for σ E in terms of the heat capacity, You should find

ANSWER:

Step 1 of 5

The partition function is given by:

Where  is the Boltzmann factor and it is given by:

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