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Question: a boltzmann factors compute the boltzmann factors expjkt for...

Question details

1. Average energy for a discrete family of states Consider a family of 8 discrete energy states uniformly spaced with an ener

a. Boltzmann factors

Compute the Boltzmann factors (Exp[-εj/kT] ) for kT = 0.15, 0.25, 0.5, 0.75 e.u.

b. partition functions

Compute the sum over all 8 Boltzmann factors (the partition function, q) for kT = 0.15, 0.25, 0.5, 0.75 e.u.

c. average energy

Given that the probability of occupying a given energy state is Exp[-εj/kT]/q, compute the average energy for the 4 different values of kT.

d. heat capacity

estimate the heat capacity for the system as a function of temperature from Δε/Δ(kT) using the 4 different values of kT.

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