J.R. S. answered 03/22/22
Ph.D. University Professor with 10+ years Tutoring Experience
Looking at the solubility of PbSO4, we can write it as ...
PbSO4(s) <==> Pb2+(aq) + SO42-(aq) ... this would be in pure water (a)
For (b), NaNO3:
Adding Na+ and NO3- ions would form Pb(NO3)2 and Na2SO4 by reacting with the Pb2+(aq) and SO42-(aq). But since both of these dissociate completely, this would have no effect on the solubility of PbSO4
For (c), Na2SO4:
Adding a common ion (SO42-) will, according to Le Chatelier's Principle, push the reaction toward the reactant side thus decreasing the solubility of PbSO4
For (d), Pb(NO3)2:
Again, adding a common ion (Pb2+) will decrease the solubility of PbSO4 (see reason for c).
So, in summary, PbSO4 would be most soluble in pure water and in the NaNO3 solution.