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MHT CET202616 April 2026Evening ShiftChemistryIonic EquilibriumActual

The solubility product of sparingly soluble salt BA is 4 10⁻¹³ . Calculate the [ A ^-] if [ B ^+] is 1 10⁻⁶ M .

Options

  1. A2 10⁻⁷ M
  2. B3 10⁻⁷ M
  3. C4 10⁻⁷ M
  4. D5 10⁻⁷ M

Correct answer

C. 4 10⁻⁷ M

Step-by-step solution

The dissociation of the sparingly soluble salt BA is given by: BA B ^+ + A ^- The solubility product expression is: K_ sp = [ B ^+][ A ^-] Given: K_ sp = 4 10⁻¹³ [ B ^+] = 1 10⁻⁶ M Substituting the given values into the expression: 4 10⁻¹³ = (1 10⁻⁶) [ A ^-] [ A ^-] = 4 10⁻¹³ 1 10⁻⁶ [ A ^-] = 4 10⁻⁷ M Answer: 4 10⁻⁷ M

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