Statistical Physics - average energy of a system.

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To determine the temperature of a heat reservoir that results in a mean energy of 1.2ε for a system with three particles, each having energy states of 0 or ε, the equipartition theorem is relevant. The user initially attempted to apply the formula for entropy but expressed uncertainty about its effectiveness given the average energy. The relationship between average energy and temperature is crucial, as it links statistical mechanics concepts. A suggestion was made to consult the equipartition theorem for further clarification. Understanding this relationship is essential for solving the problem accurately.
Jalo
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Homework Statement



Imagine a system, in contact with a heat reservoir, with three particles. Each particle may be in a state of energy 0 or ε.

What's the temperature of the reservoir such that the mean energy of the system, <E>, is 1.2ε?

Homework Equations





The Attempt at a Solution



I tried using the formula:

S = Kb ln(Ω(E))
dS/dE = Kb / Ω(E) = 1/T

However I don't think this is the right way to go. Since I only know the average value of the energy I don't think I can find the temperature of the system!

Any hints would be highly appreciated!

Thanks.
 
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