J.R. S. answered 02/17/23
Ph.D. University Professor with 10+ years Tutoring Experience
3F2(g) + 2AlCl3(s) ==> 2AlF3(s) + 3Cl2(g)
Under standard condition (STP), 1 mole of gas = 22.4 L.
moles F2 gas used = 15.3 L x 1 mol / 22.4 L = 0.683 mols F2 gas
moles AlCl3 used = 35.5 g x 1 mol AlCl3 / 133.3 g = 0.266 mols AlCl3
Since the mol ratio of AlCl3 : F2 is 2 : 3, AlCl3 is the limiting reactant as it will run out first.
Moles Cl2 formed = 0.266 mols AlCl3 x 3 mols Cl2 / 2 mols AlCl3 = 0.399 mols Cl2(g)
Liters of Cl2(g) = 0.399 mols Cl2 x 22.4 L / 1 mol = 8.94 L Cl2