Problem: When 13.62 g (about one tablespoon) of table sugar (sucrose, C12H22O11) is dissolved in 241.5 mL of water (density 0.997 g/mL), the final volume is 250.0 mL (about one cup).Calculate the expected freezing point for the solution.

FREE Expert Solution

We’re being asked to find the freezing point of a solution when table sugar is dissolved in water. When calculating the freezing point of a solution, we’re going to use the equation for Freezing Point Depression.


Tf = i·Kf·m

∆Tf = change in freezing point = Tf pure solvent –Tf solution
Kf = freezing point depression constant
i = van' t Hoff factor of the solute = no. of ions
m = molality


We will do the following steps:

Step 1: Calculate the molality of the solution.

Step 2: Determine the other required values for the Freezing Point Depression

Step 3: Calculate the freezing point of the solution

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Problem Details

When 13.62 g (about one tablespoon) of table sugar (sucrose, C12H22O11) is dissolved in 241.5 mL of water (density 0.997 g/mL), the final volume is 250.0 mL (about one cup).

Calculate the expected freezing point for the solution.

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