J.R. S. answered 10/25/21
Ph.D. University Professor with 10+ years Tutoring Experience
Pb(NO3)2(aq) + 2KCl(aq) ==> PbCl2(s) + 2KNO3(aq) ... balanced equation
The approach here is to first calculate the theoretical yield. To do this, we need to determine which reactant is limiting. After finding the theoretical yield, we will use the % yield (82.4%) to find the actual yield in grams. Finally, we will use the above information to find grams of excess reactant remaining.
Finding limiting reactant (divide moles of each reactant by corresponding coefficient in balanced equation):
Pb(NO3)2: 7.40 g Pb(NO3)2 x 1 mol / 331 g = 0.02236 mols (÷1 -> 0.02236)
KCl: 5.94 g KCl x 1 mol / 74.6 g = 0.07962 mols (÷2 -> 0.0398)
Since 002236 is less than 0.0398, Pb(NO3)2 is LIMITING
Theoretical yield of precipitate (PbCl2):
0.02236 mols Pb(NO3)2 x 1 mol PbCl2 / mol Pb(NO3)2 x 278 g /mol = 6.216 g PbCl2 theoretical yield
Actual yield = 82.4% x 6.216 g = 5.122 g PbCl2 (grams of precipitate)
Excess reactant (KCl) remaining:
5.122 g PbCl2 x 1 mol PbCl2 / 278 g = 0.0184 mols PbCl2 formed
0.0184 mols PbCl2 x 2 mol KCl / 1 mol PbCl2 = 0.0368 mols KCl used in the reaction
moles KCl originally present = 0.07962 moles KCl
moles KCl remaining = 0.07962 mols - 0.0368 mols = 0.0428 mols KCl remaining
grams KCl remaining = 0.0428 mols x 74.6 g /mol = 3.19 g KCl remaining