I don't understand all of your symbols; here is simplified set of solubility rules.
http://www.files.chem.vt.edu/RVGS/ACT/notes/solubility_rules.html
To separate Pb(NO3)2 I would saturate the solution with H2S to ppt all of the Pb as PbS, filter, boil the filtrate to remove H2S and evaporate the solvent.
#3. Look at the solubility rules.
1. Divide the ions below into 2 groups, those that tend to form soluble compounds and those that tend to form insoluble compounds.
(〖Pb〗^(+2), 〖Na〗^+, 〖Nh4〗^+, 〖Ag〗^+, 〖NO3〗^-, 〖OH〗^-, 〖Cl〗^-, 〖CO3〗^(-2), 〖PO4〗^(-3))
2. Suppose a student returned some unused lead nitrate to the container to the container marked “sodium nitrate”. What could the student do to get all the lead ions ”out” from the sodium nitrate?
3. A solution contains 〖Nh4〗^+ ions and 〖Ca〗^(+2) along with some anions. How would you separate 〖Nh4〗^+ ions from 〖Ca〗^(+2) ?
2 answers
Suppose a student returned some unused lead nitrate to the container to the container marked “sodium nitrate”. What could the student do to get all the lead ions ”out” from the sodium nitrate?