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JEE Advanced2023ChemistryIonic EquilibriumActual

On decreasing the pH from 7 to 2 , the solubility of a sparingly soluble salt ( MX ) of a weak acid ( HX ) increased from 10 - 4 mol L - 1 to 10 - 3 mol L - 1 . The pK a of HX is

Options

  1. A3
  2. B4
  3. C5
  4. D2

Correct answer

B. 4

Step-by-step solution

At pH = 7 , i.e., the solubility in water is S , The solubility product, K sp = S 2     - - - - - > 1 Assume the solubility of sparingly soluble salt is at   pH = 2 MX ⇌ M ⊕ + X ⊖                         S 1               S 1 - x The weak dissociation reaction is as follows, X ⊖ + H ⊕ ⇌ HX S 1 - x     10 - 2             x Assume

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