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 n_ace=0.00 to 0.04 mole, the experimental data was found to be accurately described by a cubic polynomial:

V = A + Bn_ace + Cn_ace² + Dn_ace³ 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 Χ_ace-->0? (X_ace 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.