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Data and Caloulationsi Molar Mass Determination by Depression of the Freezing Po

ID: 564407 • Letter: D

Question

Data and Caloulationsi Molar Mass Determination by Depression of the Freezing Point A Measured Freezing Point of Pure Water B. Finding the Reezing Point of a Solution ot uquld Unknown Turget mass of solute (Calculated based on the parameters in the in structions Unknown e Actual mass of solute used Trial I Freezing point of solution (observed) Mass of solution Trial II Freezing point of solution Mass of solution "c 103. 81 -5, 4 Calculations: Trial Trial 11 5. a Freezing point depression Molality of unknown solution, m, Mass of solution Mass of solute Mass of solvent (water) Moles of solute Molar mass of unknown

Explanation / Answer

Assuming the solute does not dissociate.

For trial 1

Freezing point depression

Tf - Ts = i x Kf x m

Freezing point of water - Freezing point of solution = van't Hoff factor x freezing point constant x Molality

-0.2 + 4.6 = 1 x 1.86 x m

Molality of unknown solution = 2.365 molal

Mass of solution = 103.81 g

Mass of solute = 10.40 g

Mass of water = Mass of solution - Mass of solute

= 103.81 - 10.40

= 93.41 g

Moles of solute = molality x kg of water

= 2.365 x 93.41 g x 1kg/1000g

= 0.2209 moles

Molar mass of unknown = mass of solute / moles of solute

= 10.40 g / 0.2209 moles

= 47.08 g/mol

Same for trial 2

Freezing point depression

Tf - Ts = i x Kf x m

Freezing point of water - Freezing point of solution = van't Hoff factor x freezing point constant x Molality

-0.2 + 5.4 = 1 x 1.86 x m

Molality of unknown solution = 2.7956 molal

Mass of solution = 95.08 g

Mass of solute = 10.40 g

Mass of water = Mass of solution - Mass of solute

= 95.08 - 10.40

= 84.68 g

Moles of solute = molality x kg of water

= 2.7956 x 84.68 g x 1kg/1000g

= 0.2367 moles

Molar mass of unknown = mass of solute / moles of solute

= 10.40 g / 0.2367 moles

= 43.937 g/mol