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MHT CET2007ChemistryIonic Equilibrium

The solubility of AgCl is 1 10⁻⁵ ~mol / L . Its solubility in 0.1 molar sodium chloride solution is

Options

  1. A1 10⁻¹⁰
  2. B1 10⁻⁵
  3. C1 10⁻⁹
  4. D1 10⁻⁴

Correct answer

C. 1 10⁻⁹

Step-by-step solution

K_ s p of AgCl =( solubility of AgCl )² = (1 10⁻⁵ )²=1 10⁻¹⁰ Suppose its solubility in 0.1 M NaCl is x ~mol / L array c AgCl Ag ⁺+ Cl ⁻ NaCl Na ⁺+ 0.1 M Cl ⁻ _ 0.1 M [ Cl ⁻ ]=(x+0.1) M K_ s p of AgCl = [ Ag ⁺ ] [ Cl ⁻ ] =x (x+0.1) 1 10⁻¹⁰=x²+0.1 x array Higher power of x are neglected aligned 1 10⁻¹⁰ &=0.1 x x &=1 10⁻⁹ M aligned

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