Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 20 - Entropy and the Second Law of Thermodynamics - Problems - Page 607: 47c

Answer

$\frac{W_A}{W_B} = 4.16 \times 10^{16} $

Work Step by Step

Taking the equation from (b), when $N = 100$ the $n_m$ should be divided with the same amount. And because 100 is not evenly divisible by 3, put 34 molecules into one of the three box parts of configuration A and 33 in each of the other two parts. $\frac{W_A}{W_B} = \frac{(N/2!)(N/2!)}{(N/3!)(N/3!)(N/3!)}$ $\frac{W_A}{W_B} = \frac{(50!)(50!)}{(33!)(33!)(34!)}$ $\frac{W_A}{W_B} = 4.16 \times 10^{16} $
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