J.R. S. answered 04/25/23
Ph.D. University Professor with 10+ years Tutoring Experience
First, we must write a correctly balanced equation:
P4 + 6Cl2 ==> 4PCl3 .. balanced equation
Next, since we are given amounts of BOTH reactants, we must find which, if either, is limiting. One way to do this is to divide mols of each reactant by the corresponding coefficient in the balanced equation.
P4: 8.32 g x 1 mol P4 / 123.9 g = 0.0671 mols (÷1->0.067)
Cl2: 3.22 g x 1 mol Cl2 / 70.91 = 0.0454 mols (÷6->0.0076)
Since 0.0076 is < 0.067, this indicates that Cl2 is limiting, and mols of Cl2 (0.0454) will determine amount of product formed.
Mass PCl3 = 0.0454 mols Cl2 x 4 mols PCl3 / 6 mols Cl2 x 137 g PCl3/mol = 4.14 g PCl3 (Answer A)