MCQEasyJEE 2026Colligative Properties

JEE Chemistry 2026 Question with Solution

A solution is prepared by dissolving 0.3g0.3 \, \text{g} of a non-volatile non-electrolyte solute A of molar mass 60g mol160 \, \text{g mol}^{-1} and 0.9g0.9 \, \text{g} of a non-volatile non-electrolyte solute B of molar mass 180g mol1180 \, \text{g mol}^{-1} in 100mL100 \, \text{mL} H2O\text{H}_2\text{O} at 27C27^\circ \text{C}. Osmotic pressure of the solution will be

[Given: R=0.082L atm K1 mol1R = 0.082 \, \text{L atm K}^{-1} \text{ mol}^{-1}]

  • A

    1.23atm1.23 \, \text{atm}

  • B

    0.82atm0.82 \, \text{atm}

  • C

    2.46atm2.46 \, \text{atm}

  • D

    1.47atm1.47 \, \text{atm}

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given:

  • Mass of solute A = 0.3g0.3 \, \text{g}
  • Molar mass of A = 60g mol160 \, \text{g mol}^{-1}
  • Mass of solute B = 0.9g0.9 \, \text{g}
  • Molar mass of B = 180g mol1180 \, \text{g mol}^{-1}
  • Volume of solution = 0.1L0.1 \, \text{L}
  • Temperature = 300K300 \, \text{K}
  • Gas constant = R=0.082L atm K1 mol1R = 0.082 \, \text{L atm K}^{-1} \text{ mol}^{-1}

Find: Osmotic pressure of the solution.

For non-electrolytes, osmotic pressure depends only on the total number of solute particles present in the solution.

Step 1: Calculate moles of solute A.

nA=0.360=0.005 moln_A = \frac{0.3}{60} = 0.005 \text{ mol}

Step 2: Calculate moles of solute B.

nB=0.9180=0.005 moln_B = \frac{0.9}{180} = 0.005 \text{ mol}

Step 3: Calculate total moles of solute.

n=0.005+0.005=0.01 moln = 0.005 + 0.005 = 0.01 \text{ mol}

Step 4: Apply osmotic pressure formula.

π=nRTV\pi = \frac{nRT}{V} π=0.01×0.082×3000.1\pi = \frac{0.01 \times 0.082 \times 300}{0.1} π=2.46 atm\pi = 2.46 \text{ atm}

Conclusion: The osmotic pressure of the solution is 2.46atm2.46 \, \text{atm}. Therefore, the correct option is C.

Particle Count Approach

Given: Both solutes are non-volatile and non-electrolytes.

Find: Which option matches the osmotic pressure.

Since both solutes are non-electrolytes, neither dissociates in water. Therefore, the effective number of solute particles is obtained by adding their moles directly.

0.360=0.005\frac{0.3}{60} = 0.005 0.9180=0.005\frac{0.9}{180} = 0.005 Total solute particles in moles=0.01\text{Total solute particles in moles} = 0.01

Now use

π=CRT=nVRT\pi = CRT = \frac{n}{V}RT π=0.010.1×0.082×300\pi = \frac{0.01}{0.1} \times 0.082 \times 300 π=2.46 atm\pi = 2.46 \text{ atm}

Thus, the correct option is C.

Common mistakes

  • Adding the given masses directly and using 1.2g1.2 \, \text{g} as if the mixture had one molar mass is incorrect, because solutes A and B have different molar masses. First calculate moles of each solute separately, then add the moles.

  • Using only one solute in the osmotic pressure formula is incorrect, because osmotic pressure depends on the total number of dissolved particles. Both non-electrolyte solutes contribute to the final value.

  • Using 2727 as the temperature in the formula is wrong, because the gas law form of osmotic pressure requires temperature in kelvin. Convert 27C27^\circ \text{C} to 300K300 \, \text{K} before substitution.

Practice more Colligative Properties questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions