A series of solutions were prepared, each containing exactly one mole of water (MW 18.015) and varying amounts of acetone (MW 58.081) at 20°C. The density of each solution was measured, from which the volume of the solution was determined. Over the range nace=0.00 to 0.04 mole, the experimental data was found to be accurately described by a cubic polynomial:
V = A + Bnace + Cnace2 + Dnace3 where V is the solution volume and nace is the moles of acetone
The parameters are A = 18.0467 mL
B = 66.6251 mL mol-1
C = -12.6199 mL mol-2
D = -106.0413 mL mol-3
A. What is the partial molar volume of acetone in the limit Χace-->0? (Xace is the mole fraction of acetone in the solution)
B. The density of pure acetone is 0.7899 g/mL at 20°C. What is the partial molar volume of pure acetone at this temperature?
C. Compare the results from Parts A and B. Explain the difference between the two partial molar volumes.