Chemistry · Solutions and Colligative Properties

JEE Main 2026 — 24 January, Morning Shift — Question 51

A solution is prepared by dissolving 0.3 g of a nonvolatile non-electrolyte solute ' A ' of molar mass 60 g mol−160 \mathrm{~g} \mathrm{~mol}^{-1} and 0.9 g of a non-volatile nonelectrolyte solute ' B ' of molar mass 180 g mol−1180 \mathrm{~g} \mathrm{~mol}^{-1} in 100 mLH2O100 \mathrm{~mL} \mathrm{H}_{2} \mathrm{O} at 27∘C27^{\circ} \mathrm{C}. Osmotic pressure of the solution will be[0pt] [Given : R=0.082 L atm K−1 mol−1\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} ]

  1. Option A:

    1.23 atm

  2. Option B:

    2.46 atm

    Correct
  3. Option C:

    0.82 atm

  4. Option D:

    1.47 atm

Answer: B

Step-by-step solution

Mass of solute ' A ' =0.3 g=0.3 \mathrm{~g} Moles of solute ′A′=0.3 g60 g/mol=1200 mol{ }^{\prime} \mathrm{A}^{\prime}=\frac{0.3 \mathrm{~g}}{60 \mathrm{~g} / \mathrm{mol}}=\frac{1}{200} \mathrm{~mol} Mass of solute ′B′=0.9 g{ }^{\prime} \mathrm{B}^{\prime}=0.9 \mathrm{~g}

Moles of solute ′B′=0.9gm180 g/mol=1200 mol{ }^{\prime} \mathrm{B}^{\prime}=\frac{0.9 \mathrm{gm}}{180 \mathrm{~g} / \mathrm{mol}}=\frac{1}{200} \mathrm{~mol} Total molarity of all solutes

=2/200100×1000=110M∴π=110×0.082×300π=2.46 atm.\begin{aligned} & =\frac{2 / 200}{100} \times 1000=\frac{1}{10} \mathrm{M} \therefore \pi & =\frac{1}{10} \times 0.082 \times 300 \pi & =2.46 \mathrm{~atm} . \end{aligned}

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Chemistry
Chapter
Solutions and Colligative Properties
Topic
Solid in Liquid Solutions (Colligative Properties)
A solution is prepared by dissolving 0.3 g of a nonvolatile… | JEE Main 2026 PYQ with Solution · DhiX AI