The partial molar enthalpies of species in simple binary mixtures can sometimes be approximated by the following

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The partial molar enthalpies of species in simple binary mixtures can sometimes be approximated by the following expressions:

and H = a + bx H = a + bx

a. For these expressions show that b1 must equal b2

b. Making use of the fact that


lim 0 = 0 2-1

for any thermodynamic property θ, show that 

a = H, a2 = H, and , =bx1x2 mix

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