Unformatted text preview: 50. (a) We use Eq. 2114. For conﬁguration A
WA = N!
50!
=
= 1.26 × 1014 .
(N/2)!(N/2)!
(25!)(25!) (b) For conﬁguration B
WB = 50!
N!
=
= 4.71 × 1013 .
(0.6N )!(0.4N )!
[0.6(50)]![0.4(50)]! (c) Since all microstates are equally probable,
f= WB
1265
=
WA
3393 ≈ 0.37 . (d) We use these formulas for N = 100: WA = 1.01 × 1029 , WB = 1.37 × 1028 , and f ≈ 0.14.
(e) For N = 200 we have WA = 9.05 × 1058 , WB = 1.64 × 1057 , and f = 0.018.
(f) We see from the calculation above that f decreases as N increases, as expected. ...
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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