Assuming that the van der Waals equation of state, is satisfied by two pure fluids and by

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Assuming that the van der Waals equation of state, 

P = RT V-b a V

is satisfied by two pure fluids and by their mixture, and that the van der Waals one-fluid rules

and a = ;a;aij ij b s -;x;b;; ijwith bij = bji apply to the mixture, derive expressions for

a. The excess volume change on mixing at constant T and P 

b. The excess enthalpy and internal energy changes on mixing at constant T and P 

c. The excess entropy change on mixing at constant T and P 

d. The excess Helmholtz and Gibbs energy changes on mixing at constant T and P 

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