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A hypothetical system contains 16 particles which can occupy nondegenerate equally spaced energy levels of spacing E. The system is set up so that it has a total energy of
18E, and it is in the most probable macrostate, which is shown below:
Energy 0 E 2E 3E 4E 5E 6E • • •
7 4 2 2 1 0 0

(i) How many microstates are there in this macrostate? What is the entropy of the system in units of kB?

(ii) Based on the distribution of the particles, make a rough estimate of the temperature of the system in units of E/kB

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