Solved: Consider a gas containing an even number N of molecules, distributed among the

Chapter 19, Problem 68

(choose chapter or problem)

Consider a gas containing an even number N of molecules, distributed among the two halves of a closed box. Find expressions for (a) the total number of microstates and (b) the number of microstates with half the molecules on each side of the box. (You can either work out a formula, or explore the term combinations in a math reference source.) (c) Use these results to find the ratio of the probability that all the molecules will be found on one side of the box to the probability that there will be equal numbers on both sides. (d) Evaluate for N = 4 and N = 100.

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