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Question:

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

ΔT_f = K_f × m = 5.12 × (0.5 × 1000)/(64 × 39)
=> ΔT_f = 1.02.