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JEE Main2007ChemistryIonic EquilibriumActual

The first and second dissociation constants of an acid H ₂ A are 1.0 10⁻⁵ and 5.0 10⁻¹⁰ respectively. The overall dissociation constant of the acid will be

Options

  1. A5.0 10⁻⁵
  2. B5.0 10¹⁵
  3. C5.0 10⁻¹⁵
  4. D0.0 10^5

Correct answer

C. 5.0 10⁻¹⁵

Step-by-step solution

array ll H ₂ A HA ⁻+ H ⁺ & K ₁= [ HA ⁻ ] [ H ⁺ ] [ H ₂ A ] (1) HA ⁻ H ⁺+ A ²⁻ & K ₂= [ H ⁺ ] [ A ²⁻ ] [ HA ⁻ ] (2) array For the reaction aligned & H ₂ A 2 H ⁺+ A ²⁻ & K = [ H ⁺ ]^2 [ ~A ²⁻ ] [ H ₂ A ] = K ₁ K ₂ & =1 10⁻⁵ 5 10⁻¹⁰ & =5 10⁻¹⁵ aligned Hence, (C) is correct.

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