JEE Main 2023 · 31 January · evening · Single correct · +4 / −1

Evaluate the following statements for their correctness.
A. The elevation in boiling point temperature of water will be same for 0.1 M NaCl and 0.1 M urea.
B. Azeotropic mixtures boil without change in their composition.
C. Osmosis always takes place from hypertonic to hypotonic solution.
D. The density of 32 % H₂ SO₄ solution having molarity 4.09 M is approximately 1.26 g mL⁻¹
E. A negatively charged sol is obtained when KI solution is added to silver nitrate solution.
Choose the correct answer from the options given below :

  1. (a) A, B and D only
  2. (b) A and C only
  3. (c) B and D only
  4. (d) B, D and E only
Answer and solution

Answer (c) B and D only

Solution

Chemistry ma’am · 3 steps

Test each statement on its own; the classic traps are the van 't Hoff factor and the order of mixing.

  1. Colligative effect. Δ T_b = i K_b m depends on the number of solute particles. NaCl splits into two ions (i = 2), while urea stays as one molecule (i = 1).
  2. Density check. For a solution that is w% by mass, molarity = (10 × d × w)/M with d in g mL⁻¹. Rearranging gives d = (4.09 × 98)/(10 × 32) = 1.25 g mL⁻¹, which agrees with the stated value of about 1.26.
    StatementVerdictReason
    AFalseNaCl gives twice as many particles, so its elevation is about double that of urea.
    BTrueThe vapour of an azeotrope has the same composition as the liquid, so the composition does not change as it boils.
    CFalseSolvent moves from the hypotonic (dilute) side to the hypertonic (concentrated) side.
    DTrued ≈ 1.25 g mL⁻¹, matching the stated value.
    EFalseAgNO₃ is in excess, so AgI adsorbs Ag⁺ and the sol is positive.
  3. So. Only B and D are correct, which is option (c).

The idea to keep. In a sol, the ion that is in excess decides the charge. The flask you add to holds the excess. For colligative properties, always multiply by i before comparing.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Solutions & Colligative Properties

Asked about 150 times in JEE Main since 2020. This question is from 2023.