2. A box of volume V contains N molecules. f N of the molecules are in the left half of the box and the remaining (1-f )

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2 A Box Of Volume V Contains N Molecules F N Of The Molecules Are In The Left Half Of The Box And The Remaining 1 F 1 (119.74 KiB) Viewed 46 times

2. A box of volume V contains N molecules. f N of the molecules are in the left half of the box and the remaining (1-f ) N molecules are in the right half of the box. a) What is the number of ways 2 (f N; N) of having the fraction f of the molecules in the left half and the rest in the right half of the box? b) What is the entropy S (fN; N)? Use the Stirling approximation. c) For what value the fraction f is the entropy maximum? ( Derive your result by maximizing S(FN; N) with respect to f.) d) What is the maximum value of the entropy?