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MHT CET2011ChemistryIonic Equilibrium

The solubility product of Ag ₂ CrO ₄ is 32 10⁻¹² . What is the concentration of CrO ₄²⁻ ions in that solution?

Options

  1. A2 10⁻⁴
  2. B16 10⁻⁴
  3. C8 10⁻⁴
  4. D12 10⁻⁴

Correct answer

A. 2 10⁻⁴

Step-by-step solution

aligned Ag ₂ CrO ₄ 2 Ag ⁺+ CrO ₄²⁻ & 2 s K_ sp &= [ Ag ⁺ ]² [ CrO ₄²⁻ ] &=(2 s)²(s) K_ sp &=4 s³ s &= ( K_ sp 4 )^ 1 / 3 &= ( 32 10⁻¹² 4 )^ 1 / 3 &=2 10⁻⁴ M aligned

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