This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Sterling’s approximation ( N is very large!): ln " = ln N ! # 2ln( N /2)! $ N ln N # 2 N 2 ln N 2 = N ln N # ln N /2 ( ) = N ln2 Therefore, the entropy of the binary alloy, with N = 10 23 is: S = Nk B ln2 = 7 " 10 22 k B Another way of seeing this is that there are 2 choices for each of the N slots! b) There is no work, heat transfer, or change in temperature, so the change in internal energy should be 0! c) If, on the other hand, A and B were not distinct from eachother, there would only be 1 way of putting all the particles into the N slots! So, S = 0....
View
Full Document
 Spring '08
 Packard
 Energy, Heat, kB ln Ω.

Click to edit the document details