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Second law of thermodynamics, entropy

Problem 2.155

Find the statistical weight of the most probable distribution of N=10N=10 identical molecules over two halves of the cylinder's volume. Find also the probability of such a distribution.

Reveal Answer
Ωpr=N!/[(N/2)!]2=252.PN/2=Ωpr/2N=24.6%\left.\Omega_{p r}=N ! / [(N / 2) !\right]^{2}=252 . P_{N / 2}=\Omega_{p r} / 2^{N}=24.6 \%
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