JEE Main 2024 · 27 January · morning · Single correct · +4 / −1

Given below are two statements :
Statement (I) : Aqueous solution of ammonium carbonate is basic.
Statement (II) : Acidic/basic nature of salt solution of a salt of weak acid and weak base depends on Kₐ and K_b value of acid and the base forming it.
In the light of the above statements, choose the most appropriate answer from the options given below :

  1. (a) Both Statement I and Statement II are correct
  2. (b) Statement I is correct but Statement II is incorrect
  3. (c) Both Statement I and Statement II are incorrect
  4. (d) Statement I is incorrect but Statement II is correct
Answer and solution

Answer (a) Both Statement I and Statement II are correct

Solution

Chemistry ma’am · 4 steps

Both ions hydrolyse here, so compare their strengths: carbonate pulls far harder than ammonium does.

  1. Weak acid, weak base. For a salt of a weak acid and a weak base, both ions react with water. The cation makes H₃O⁺ and the anion makes OH⁻, so the pH depends on which reaction goes further.

    pH = 7 + 1/2(pKₐ - pK_b)

  2. Statement II. The formula above contains only Kₐ and K_b. If Kₐ > K_b the solution is acidic, if K_b > Kₐ it is basic, and if they are equal it is neutral. So Statement II is correct.
  3. Statement I. CO₃²⁻ comes from the very weak acid HCO₃⁻ (Kₐ = 4.7 × 10⁻¹¹), so its hydrolysis constant is K_w/Kₐ ≈ 2.1 × 10⁻⁴. NH₄⁺ comes from NH₃ (K_b = 1.8 × 10⁻⁵), so its hydrolysis constant is only K_w/K_b ≈ 5.6 × 10⁻¹⁰. Carbonate makes far more OH⁻ than ammonium makes H₃O⁺, so the solution is basic and Statement I is correct.
  4. So. Both statements are correct, and the answer is (a).

The idea to keep. For a weak acid plus weak base salt, ignore concentration and compare strengths. The weaker partner hydrolyses more: K_b > Kₐ makes the solution basic, Kₐ > K_b makes it acidic.

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

Study Ionic Equilibrium

Asked about 100 times in JEE Main since 2020. This question is from 2024.