Assuming that two pure fluids and their mixture can be described by the van der Waals equation

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Assuming that two pure fluids and their mixture can be described by the van der Waals equation of state, 

P = RT V-b a V

and that for the mixture the van der Waals one-fluid mixing rules apply

-  ;a;aij ij = and b = Laibi i

a. Show that the fugacity coefficient for species i in the mixture is 


fi B xi P where B = Pb/RT. In o = In di = Z - B - - In(Z - B) - - 2 xj a ij j RTV

b. Derive an expression for the activity coefficient of each species.

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