Question

A solution is prepared by dissolving 10 g of a non-volatile solute in 100 g of water. The freezing point depression of the solution is observed to be 1.5°C. Calculate the cryoscopic constant of the solvent.

• A. \(0.15 \, \text{kg/mol}\)
• B. \(1.5 \, \text{kg/mol}\)
• C. \(5.0 \, \text{kg/mol}\)
• D. \(2.0 \, \text{kg/mol}\)

Hint:

Cryoscopic constant (\(K_f\)) is a measure of the solvent’s ability to decrease its freezing point when a solute is added. Use the formula \(\Delta T_f = K_f \times m\) to calculate it.