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Call placement of a particle in box A , heads and placement in box B , tails . Given one particle, there are two ways

Call placement of a particle in box A,heads and placement in box B,tails. Given one particle, there are two ways of arranging it, H or T. For two particles, there are four ways of arranging them, {HH,HT,TH,TT}.We can treat the microstates by considering each particle in order. For example, {H T H H} means the first particle is in box A, the second in box B,the third in box A, and the fourth in box A.
Use Stirlings approximation to estimate the change of entropy in going from a distribution of 50.1% of 6.022E23 in box A to a distribution of 50.001%, and from 50.001%
to 50.000%.(ANS.1.2E18 J/K)

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