The solubility product of pbI2 at 298K is 1.4×10-8. Calculate it's solubility at this temperature.
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Explanation:
Part- A
PbI2(soln) ionises in its solution as follows
PbI2(soln)⇌Pb2++2I−
If the concentration of PbI2 in its saturated solution is xM then concentration of Pb2+ will be xM and concemtration of I− will be 2xM.
So Ksp=[Pb2+][I-]2
⇒1.4×10−8=x⋅(2x)2
⇒x3=1.44×10−8=3.5×10−9
⇒x=1.518×10−3
So the concentrattion of I− ion in solution is 2x=3.036×10−3M
Part- B
Let the solubility of PbI2 in 0.01 M NaI solution be s M.
Then in this case
[Pb2+]=sM
And
[I-]=(2s+0.01)M
So Ksp=[Pb2+][I-]2
⇒1.4×10−8=s×(2s+0.01)2
⇒1.4×10−8=s×(4s2+4s⋅0.01+(0.01)2)
neglecting s3ands2 terms we get
⇒1.4×10−8=s×(0.01)2
⇒s=1.4×10−4M
So solubilty of PbI2 in this case is =1.4×10−4M
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