Explanation 1) Concept: With the help of multiplicity of central configurations formula and the corresponding entropy formula, we can generate the required table. 2) Formula: a) Multiplicity, W ( N 2 , N ) = N ! n 1 ! n 2 ! where N is the number of molecules, n 1 is the molecules in one half, n 2 is the molecule in the other half b) Entropy, S = k l n W 3) Given: Eight molecules are given. 4) C alculations: For Label I, W N 2 , N = N ! n 1 ! n 2 ! W = 8 ! 8 ! 0 ! = 1 And, S = k l n W S = 1.38 × 10 - 23 ln ⁡ 1 = 0 For Label II W ( N 2 , N ) = N ! n 1 ! n 2 ! W = 8 ! 7 ! 1 ! = 8 And, S = k l n W S = 1.38 × 10 - 23 ln ⁡ 8 = 2.9 × 10 - 23 For Label III W ( N 2 , N ) = N ! n 1 ! n 2 ! W = 8 ! 6 ! 2 ! = 28 And, S = k l n W S = 1.38 × 10 - 23 ln ⁡ 28 = 4.6 × 10 - 23 For Label IV W ( N 2 , N ) = N ! n 1 ! n 2 ! W = 8 ! 5 ! 3 ! = 56 And, S = k l n W S = 1.38 × 10 - 23 ln ⁡ 56 = 5.6 × 10 - 23 For Label V W ( N 2 , N ) = N ! n 1 ! n 2 ! W = 8 ! 4 ! 4 ! = 70 And, S = k l n W S = 1.38 × 10 - 23 ln ⁡ 70 = 5.9 × 10 - 23 For Label VI W ( N 2 , N ) = N ! n 1 ! n 2 ! W = 8 ! 3 ! 5 ! = 56 And, S = k l n W S = 1

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Chapter 20, Problem 45P

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To generate: the table for 8 molecules.

Solution Summary: The author explains how the multiplicity of central configurations formula and the corresponding entropy formula can generate the required table for 8 molecules.

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To generate: the table for 8 molecules.

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To generate:

the table for 8 molecules.