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JEE Main2013ChemistryIonic EquilibriumActual

Solid Ba ( NO ₃ )₂ is gradually dissolved in a 1.0 10⁻⁴ ~M ~Na ₂ CO ₃ solution. At which concentration of Ba ²⁺ , precipitate of BaCO ₃ begins to form ? (K_ s p . for . BaCO ₃=5.1 10⁻⁹ )

Options

  1. A5.1 10⁻⁵ M
  2. B7.1 10⁻⁸ M
  3. C4.1 10⁻⁵ M
  4. D8.1 10⁻⁷ M

Correct answer

A. 5.1 10⁻⁵ M

Step-by-step solution

Given Na ₂ CO ₃=1.0 10⁻⁴ M aligned & [ CO ₃⁻⁻ ]=1.0 10⁻⁴ M & i.e. s =1.0 10⁻⁴ M aligned At equilibrium aligned & [ Ba ⁺⁺ ] [ CO ₃ ⁻⁻ ]= K _ sp of BaCO ₃ & [ Ba ⁺⁺ ]= K _ sp [ CO ₃ ⁻⁻ ] = 5.1 10⁻⁹ 1.0 10⁻⁴ aligned =5.1 10⁻⁵ M

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