College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 15, Problem 61PE
(a) What is the change in entropy if you start with 10 coins in the 5 heads and 5 tails macrostate, toss them, and get 2 heads and 8 tails? (b) How much more likely is 5 heads and 5 tails than 2 heads and 8 tails? (Take the ratio of the number of microstates to find out.) (c) If you were betting on 2 heads and 8 tails would you accept odds of 252 to 45? Explain Why or why not.
Table 15.5 10−Coin Toss
Macrostate | ||
Heads | Tails | |
10 | 0 | 1 |
9 | 1 | 10 |
8 | 2 | 45 |
7 | 3 | 120 |
6 | 4 | 210 |
5 | 5 | 252 |
4 | 6 | 210 |
3 | 7 | 120 |
2 | 8 | 45 |
1 | 9 | 10 |
0 | 10 | 1 |
Total: 1024 |
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