JEE Main 2026 Apr 8 Shift 2, Chemistry Q2: Colligative Properties

JEE Main2026Apr 8, Shift 2Chemistry

Given below are two statements :

Given : Molar mass of C, H, O, Cl are $12, 1, 16$ and $35.5$ g mol $^{- 1}$ , respectively.

Statement I : In $30%$ (w/w) solution of methanol in CCl $_{4}$ (at $T$ K), the mole fraction of CCl $_{4}$ is equal to $0.33$ .

Statement II : Mixture of methanol and CCl $_{4}$ shows positive deviation from Raoult's law.

In the light of the above statements, choose the correct answer from the option 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

Mole fraction check. Per $100$ g of solution: $30$ g methanol ( $M = 32$ ), $70$ g CCl $_{4}$ ( $M = 154$ ).

Moles: $n_{MeOH} = \frac{30}{32} = 0.9375$ , $n_{CCl_{4}} = \frac{70}{154} = 0.4545$ .

$x_{CCl_{4}} = \frac{0.4545}{0.9375 + 0.4545} = \frac{0.4545}{1.392} \approx 0.33$ .

$∴$ Statement I is true.

Raoult's deviation. Methanol is strongly H-bonded; CCl $_{4}$ disrupts these H-bonds without forming new ones. The mixture has weaker intermolecular interactions than the pure components, so the partial vapour pressures are higher than Raoult's-law predictions — a positive deviation.

$∴$ Statement II is true. Both statements are correct.

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JEE Main 2026 Apr 8 Shift 2, Chemistry Q2: Colligative Properties

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