Problem 7.12. An ideal gas is composed of N red atoms of mass m, N blue atoms

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Problem 7.12. An ideal gas is composed of N "red" atoms of mass m, N "blue" atoms of mass m, and N "green" atoms of mass m. Atoms of the same color are indistinguishable. Atoms of different color are distinguishable.

(a) Use the canonical ensemble to compute the entropy of this gas.

(b) Compute the entropy of an ideal gas of 3N "red" atoms of mass m. Does it differ from that of the mixture? If so, by how much?

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