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Imagine a particle that can be in only 3 states with

Imagine a particle that can be in only 3 states with energies 1 eV, 2 eV, and 3 eV. The particle is in equilibrium with a reservoir at 300 K.

a) Calculate the partition function for this particle.

b) Calculate the probability of the particle being in the 2 eV state.

c) How does the probability in part (b) change if the reservoir temperature is 3000 K?

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