On dissolving 0.5 g of a non-volatile non-ionic solute to 39 g of benzene, its vapor pressure decreases from 650 mm Hg to 640 mm Hg. The depression of freezing point of benzene (in K) upon addition of the solute is ______. [Given data: Molar mass and the molal freezing point depression constant of benzene are 78 g mol⁻¹ and 5.12 K kg mol⁻¹, respectively].
1.02
Solution:
Correct option is A. 1.02
(P₀ - P)/P = i * (n_solute/n_solvent) 650 - 640/640 = 1 × (0.5/78) × M × 39 => M_solute = 64 g