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JEE Main20252 Apr 2025Morning ShiftChemistryIonic EquilibriumActual

If equal volumes of ( AB ₂ ) and XY (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of ( AY ₂ ) at 300 K ? (Given ( K _ sp ) (at 300 K) for ( AY ₂=5.2 10⁻⁷ ))

Options

  1. A(3.6 10⁻³ M ~ AB ₂, 5.0 10⁻⁴ M ~ XY )
  2. B(2.0 10⁻⁴ M ~ AB ₂, 0.8 10⁻³ M ~ XY )
  3. C(2.0 10⁻² M ~ AB ₂, 2.0 10⁻² M ~ XY )
  4. D(1.5 10⁻⁴ M ~ AB ₂, 1.5 10⁻³ M ~ XY )

Correct answer

C. (2.0 10⁻² M ~ AB ₂, 2.0 10⁻² M ~ XY )

Step-by-step solution

When equal volumes are mixed molarity reduce to half. For precipitation ( Q _ SP = [ A ⁺² ] [ Y ⁻ ]^2 K _ SP ) (1) ( Q _ SP = (1.8 10⁻³ ) ( 5 2 10⁻⁴ )^2 K _ sP ) (2) ( Q _ SP = (10⁻⁴ ) (0.4 10⁻³ )^2 K _ sp ) (3) ( Q _ SP = (10⁻² ) (10⁻² )^2 K _ sP ) (4) ( Q _ SP = ( 1.5 2 10⁻⁴ ) ( 1.5 2 10⁻³ )^2 K _ sP )

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