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Question

What is the Kspexpression for the salt PbI2?


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Solution

Step 1: Solubility product

  • Solubility product which is denoted by Ksp is a type of equilibrium constant at the saturated level of solution.
  • It is dependent on the temperature of the system.
  • Solubility is the amount of solute dissolved in a definite amount of solvent to form saturated solution at particular temperature.

Step 2: Expression of Ksp for PbI2

  • A general equation of equilibrium constant for a reaction of dissociation of PbI2 as PbI2Pb2++2I-can be written as,
  • K=Pb2+I-2PbI2

Where, Kis the equilibrium constant Pb2+,I- and PbI2 are the concentration of Pb2+,I- and PbI2 respectively.

  • But we know that Ksp is the equilibrium constant at the saturated level. At saturation, no more PbI2will dissolve. Thus the concentration of PbI2 will be constant and can be taken as 1.
  • Therefore the above equation can be written as,
  • Ksp=Pb2+I-2
  • Now consider the solubility of the salt PbI2 is Smol/L. Then at saturation the solubility S for the reaction can be represented as below,
  • PbI2Pb2++2I-S2S
  • Therefore,

Ksp=S×(2S)2=4S3

Thus the Ksp expression for the salt PbI2 is Ksp=[Pb2+][I-]2or we can say Ksp=4S3.


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