Unformatted text preview: Which macrostate(s) is(are) the most probable? What is that probability? c) Compute the change in entropy in going from macroscopic state ”2” to macroscopic state ”8”. Macro. Micro. # of Micro. 2 3 4 5 6 7 8 9 10 11 12 2 , , , 3 1 , , , 4 5 6 5 4 3 2 1 , , , , , , , , , , , , , Solution: a) ⇒ b) There are 6 2 = 36 microstates. ”7” is the most probable (most microstates per macrostate), with a probability p = 6 / 36 = 1 / 6. c) Δ S 2 → 8 = k B ln w 8k B ln w 2 Δ S 2 → 8 = k B ln ± w 8 w 2 ¶ With w 8 = 5, w 2 = 1, we have, Δ S 2 → 8 = k B ln5 ....
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 Spring '08
 COHN
 Physics, Entropy, Duodecimal, kB ln

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