Sidney P. answered 04/16/21
Astronomy, Physics, Chemistry, and Math Tutor
First balance the reaction and note my correction to the formula for aluminum nitrate: 2 Al + 3 Pb(NO3)2 --> 2 Al(NO3)3 + 3 Pb.
For aluminum, 5.00g Al * (1 mol Al /26.98g Al) * (3 mol Pb /2 mol Al) = 0.2780 mol Pb.
For lead (II) nitrate, 50.0g Pb(NO3)2 * (1 mol Pb(NO3)2 /269.2g Pb(NO3)2 ) * (3 mol Pb /3 mol Pb(NO3)2 ) = 0.1857 mol Pb. This is the limiting reactant because there would still be Al remaining when the Pb(NO3)2 is consumed. Theoretical yield of Pb is 0.1857 mol Pb * (207.2g Pb /1 mol Pb) = 38..48 g Pb. Percent yield is 100 * actual/theoretical = 100 * (17.12/38.48) = 44.49%.