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Unformatted text preview: to Grand Canonical PF to directly get expression for pressure. Furthermore, getting rid of constraint on the total # of particles allows us to deal with summations over various clusters. He approach goes as follows: pV = kT ln and N = kT =e ln =
V ,T ln
V ,T where as always and (V ,T , ) = Q N ,T ,V
N =0 ( ) N Now we make a slight change in notation by introducing a quantity which vanishes as : 0 N = ln
V ,T Q1 as 0 and we introduce a new variable: 0 z = Q1 / V which indeed vanishes when
In terms of this variable we get simply (V ,T , ) = 1 + QN V N
N =1 Q1N zN Virial Expansion: A General Consideration
Now introducing V ZN = N ! Q1
We get for GCPF the expansion: N QN (V ,T , ) = 1 +
p = kT Z N V ,T
N =1 ( N! )z...
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This note was uploaded on 05/04/2010 for the course CHEM 161 taught by Professor Shaklovich during the Spring '10 term at Harvard.
- Spring '10