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ExamsJEE AdvancedChemistry

A saturated aqueous solution of AgBr has Ksp = 12 * 10⁻¹⁴. A quantity of 10⁻⁷ mol of AgNO3 is added to 1 litre of this saturated solution. Determine the specific conductance of the resulting solution (in units of 10⁻⁷ S/m). Given molar conductivities at infinite dilution: lambda(Ag+) = 6 * 10⁻³ S m² mol⁻¹ lambda(Br-) = 8 * 10⁻³ S m² mol⁻¹ lambda(NO3-) = 7 * 10⁻³ S m² mol⁻¹

  1. 55
  2. 75
  3. 65
  4. 45

Correct answer: 55

Solution

After adding AgNO3, the common-ion effect reduces [Br-] to 3*10⁻⁷ M and raises [Ag+] to 4*10⁻⁷ M. The specific conductance is then kappa = (6*4 + 8*3 + 7*1)*10⁻³*10⁻⁷*10³ S/m = 55*10⁻⁷ S/m.

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