moles of KI = 3 x 0.05 / 1000 = 1.5 x 10^-4
moles of Pb(NO3)2 = 1 x 0.05 / 1000 = 5.0 x 10^-5
a)
balanced chemical
equation :
Pb(NO3)2 (aq)Â Â + 2 KI (aq)Â Â Â
------------->Â Â PbI2 (s) + 2 KNO3 (aq)
b)
Pb(NO3)2 (aq)Â Â + 2 KI (aq)Â Â Â
------------->Â Â PbI2 (s) + 2 KNO3 (aq)
  Â
1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
2
5 x
10^-5Â Â Â Â Â Â Â Â Â Â Â Â
1.5 x 10^-4
here limting reagent is Pb(NO3)2.
because the mole ratio of Pb(NO3)2 is snall.
c)
PbI2 (s)Â Â ----------------->Â Â
Pb2+Â Â +Â Â 2 I-
Ksp = [Pb2+][I-]^2
      = (0.0125) (0.0375)^2
Ksp of PbI2 = 1.76 x 10^-5
d)
PbI2 is a insoluble salt.