A thermodynamic property of a mixture is given by a. Develop expressions for the partial molar properties

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A thermodynamic property of a mixture is given by 

3  (21,22,23,T, P) = ; (T, P) -  i=1 with aii = = 0. 3 3 aija;; + 123212223 j=1 i=1

a. Develop expressions for the partial molar properties θ̅1, θ̅2, and θ̅3 as a function of the pure component molar properties, the mole fractions, and the parameters a12, a13, a12, and a123

b. Obtain expressions for the infinite-dilution value of θ̅1 in solutions of varying concentrations of species 2 and 3. Repeat for θ̅2 in mixed solvent solutions of 1 and 3, and for θ̅3 in mixed solvent solutions of 1 and 2.

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