P21_042 - W = 8! (5!)(3!) = 40320 (120)(6) = 56 and the...

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42. We need nine labels: Label I for 8 molecules on side 1 and 0 on the side 2 Label II for 7 molecules on side 1 and 1 on the side 2 Label III for 6 molecules on side 1 and 2 on the side 2 Label IV for 5 molecules on side 1 and 3 on the side 2 Label V for 4 molecules on side 1 and 4 on the side 2 Label VI for 3 molecules on side 1 and 5 on the side 2 Label VII for 2 molecules on side 1 and 6 on the side 2 Label VIII for 1 molecules on side 1 and 7 on the side 2 Label IX for 0 molecules on side 1 and 8 on the side 2 The multiplicity W is computing using Eq. 21-18. For example, the multiplicity for label IV is
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Unformatted text preview: W = 8! (5!)(3!) = 40320 (120)(6) = 56 and the corresponding entropy is (using Eq. 21-19) S = k ln W = ( 1 . 38 10 23 J / K ) ln(56) = 5 . 6 10 23 J / K . In this way, we generate the following table: Label W S I 1 II 8 2 . 9 10 23 J / K III 28 4 . 6 10 23 J / K IV 56 5 . 6 10 23 J / K V 70 5 . 9 10 23 J / K VI 56 5 . 6 10 23 J / K VII 28 4 . 6 10 23 J / K VIII 8 2 . 9 10 23 J / K IX 1...
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