Suppose you toss 100 coins starting with 60 heads and 40 tails, and you get the most
Question:
Suppose you toss 100 coins starting with 60 heads and 40 tails, and you get the most likely result, 50 heads and 50 tails. What is the change in entropy?
Strategy
Noting that the number of microstates is labeled W in Table 15.4 for the 100-coin toss, we can use ΔS = Sf - Si = klnWf - klnWi to calculate the change in entropy.
Data given in Table 15.4
Transcribed Image Text:
Macrostate Heads Tails 100 99 95 90 75 60 55 51 50 0 1 5 10 25 40 45 49 50 Number of microstates (W) 1 1.0x10² 7.5x107 1.7x1013 2.4x1023 1.4x1028 6.1x1028 9.9x1028 1.0×102⁹
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The change in entropy is S S f S i klnW f klnW i where the subscript i stands for the initial 60 hea...View the full answer
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