Calculation of Molecular Weight from Freezing Point Depression Data
Problem:
The freezing point of a solution that contains 1.00 g of an unknown compound,
(A), dissolved in 10.0 g of benzene is found to be 2.07 oC. The freezing point of pure benzene is 5.48 oC. The molal freezing point depression constant of benzene is 5.12 oC/molal. What is the molecular weight of the unknown compound?
Strategy:
- Step 1: Calculate the freezing point depression of the solution.
Tf = (Freezing point of pure solvent) - (Freezing point of solution)
(5.48 oC) - (2.07 oC) = 3.41 oC
- Step 2 : Calculate the molal concentration of the solution using the freezing
point depression.
- Step 3: Calculate the molecular weight of the unknown using the molal concentration.

