Q.
The solubility product of a sparingly soluble AB2 salt is 2.56×10−4M3 at 25∘C. The Kf of water is 1.8kgmol−. The depression in freezing point of a standard solution of AB2 is
Let, solubility of AB2(1:2 type electrolyte ) is pure water =5molL−1=5M ⇒Ksp=4S3=2.56×10−4M3 (given) ∴S=0.04M=0.04m (molal) under standard condition of the solution.
Depression of freezing point, ΔTf=Kf×m×i=1.8×0.04×3 =0.216K
[ ∵ Assuming complete dissociation of AB2 van't Hoff factor, i=3]