JEE Main 2026 Apr 6 Shift 2, Chemistry Q5: Colligative Properties

JEE Main2026Apr 6, Shift 2Chemistry

Given below are two statements:

Statement I: H $_{2}$ O molecules move from chamber 1 to chamber 2.

Statement II: The osmotic pressure of a solution prepared by dissolving 50 mg of potassium sulphate (molar mass = 174 g/mol) in 2 L of water (at 27 °C) is 0.0107 bar. (Given: R = 0.083 dm $^{3}$ bar K $^{- 1}$ mol $^{- 1}$ and assume complete dissociation of electrolyte)

In the light of the above statements, choose the correct answer from the options given below:

A
Both Statement I and Statement II are true
B
Both Statement I and Statement II are false
C
Statement I is true but Statement II is false
D
Statement I is false but Statement II is true

Solution

Statement I. Compute molar concentrations.

Chamber 1: $\frac{18/180}{0.1} = 1$ M.

Chamber 2: $\frac{30/180}{0.25} = \frac{2}{3}$ M.

Chamber 1 is more concentrated, so water flows from 2 $\to$ 1 (not 1 $\to$ 2). Statement I is false.

Statement II. For K $_{2}$ SO $_{4}$ , van't Hoff factor $i = 3$ (complete dissociation).

$π = i C R T = 3 \times \frac{50 \times 1 0 ^{- 3} /174}{2} \times 0.083 \times 300$ .

$= 3 \times \frac{2.874 \times 1 0 ^{- 4}}{2} \times 24.9 \approx 0.0107$ bar. True.

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JEE Main 2026 Apr 6 Shift 2, Chemistry Q5: Colligative Properties

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