PY2P10 Finn Problem Solutions

PY2P10 Finn Problem - A ppendix D phasese xisted o n e ither s ide o f t he w all Hint F or a s ystem consistingo f a s inglet ype o f p articla F

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Appendix D phases existed on either side of the wall? (Hint: For a system consisting of a single type of particl a, F : G(7, p,N)/N : Oe: n. n the phases are the same on either side of the wall, the functi on O must also be the same on either side.) 10.4 consider the system of question 2 but suppose we now have a mixture of gases on either side of the separating wall which is permeable to all the different gases i. Argue that p,n: pi for all the different gases i. (Hinr place another diathermal will, pirmeable to only one gas, in front of the separating wall and proceed as in section r0.2.) 10.5 show that the chemical potential of an ideal gas, at the temperature T, varies with pressure as tt: knTln(Plps) + ps where lto is the value at reference point of pressure po and temperature T. The gas consists of a single type of particla only. This expression is of great use in chemistry. (Hint: v : @Grcnr;.) 10.6 Show that the chemical potential of an ideal monatomic gas of N particles is 5 7 ,, -,_fNnZl soT ,: r0", -;o"TrnT - kn fln{-fr} - N^ Hints: (i) Use equation (5.11) for S. (ii) r - (J - TS and p:@FIfN),,
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This note was uploaded on 03/13/2010 for the course MATH 0314 taught by Professor Ivoklemes during the Spring '10 term at McGill.

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PY2P10 Finn Problem - A ppendix D phasese xisted o n e ither s ide o f t he w all Hint F or a s ystem consistingo f a s inglet ype o f p articla F

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