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NEET2002ChemistryIonic EquilibriumActual

If the solubility of MX ₂ type electrolyte is 0.5 10⁻⁴ ~mol ~L ⁻¹ , then, find out K _ s p of the electrolyte.

Options

  1. A5 10⁻¹²
  2. B25 10⁻¹⁰
  3. C1 10⁻¹³
  4. D5 10⁻¹³

Correct answer

D. 5 10⁻¹³

Step-by-step solution

An electrolyte ( MX ₂ ) undergoes dissociation as follows :- ( MX ₂ M ⁺²+2 X ⁻ ) ( array |c|c|c|c| Concentration & MX ₂ & M ⁺² & X ⁻ Initial concentration & 1 & 0 & 0 Concentration at Equilibrium & 1- s & s & 2 ~s array ) Thus from the above condition we can say that, ( K _ sp = s (2 ~s )^2=4 ( s )^3 ) Here, s (the solubility) is (0.5 10⁻⁴ ~mole / lit ). ( aligned & K _ sp =4 (0.5 10⁻⁴ )^3 & K _ sp =5 10⁻¹³ aligned )

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