a) First, we have to find the limiting reagent
5.00 g Pb(C2H3O2)2 • 1 mol Pb(C2H3O2)2/ 325.29 g Pb(C2H3O2)2 = 0.0153 mol Pb(C2H3O2)2
3.00 g NH4I • 1 mol NH4I/ 144.94 g NH4I = 0.0207 mol NH4I
If we assume that lead acetate is limiting, we would get the following equation based on the coefficients of the balanced reaction:
0.0153 mol Pb(C2H3O2)2 • 2 mol NH4I/ 1 mol Pb(C2H3O2)2 = 0.0306 mol NH4I
Since this number is bigger than the amount of ammonium iodide we start with, it means that ammonium iodide is the limiting reagent.
0.0207 mol NH4I • 1 mol PbI2/2 mol NH4I • 461.01 g PbI2/1 mol PbI2 = 4.77 g PbI2
b) To find out how much excess reactant (in this case lead acetate) is left over, we need to find out how much we consume.
0.0207 mol NH4I • 1 mol PbI2/2 mol NH4I = 0.0104 mol
0.0153 PbI2 initial - 0.0104 PbI2 consumed =0.005 mol PbI2 remaining
since our volume is 1L, then concentration = 0.005/1 = 0.005 M PbI2