J.R. S. answered 06/18/22
Ph.D. University Professor with 10+ years Tutoring Experience
2Al + 3CuCl2 ==> 3Cu + 2AlCl3 ... balanced equation
Since we are given the amounts of BOTH reactants, the first thing we have to do is determine which reactant is limiting. An easy way to do this is to simply divide the MOLES of each reactant by the corresponding coefficient in the balanced equation.
For Al: 29.54 g Al x 1 mol Al / 26.98 g = 1.095 mols Al (÷2->0.55)
For CuCl2: 71.48 g CuCl2 x 1 mol / 134.5 g = 0.5314 mols CuCl2 (÷3->0.177)
Since 0.177 is less than 0.55, CuCl2 is the limiting reactant, and we will now use the MOLES of CuCl2 (0.5314), to determine the theoretical yield of Cu and AlCl3 that can be formed.
Theoretical yield of products:
Use mols of limiting reactant and the mol ratio in the balanced equation, as follows:
0.5314 mols CuCl2 x 3 mol Cu / 3 mol CuCl2 x 63.55 g Cu / mol Cu = 33.77 g Cu
0.5314 mols CuCl2 x 2 mol AlCl3 / 3 mol CuCl2 x 133.3 g AlCl3 / mol = 47.22 g AlCl3