J.R. S. answered 05/17/23
Ph.D. University Professor with 10+ years Tutoring Experience
So, any time you are given the amounts of BOTH reactants, the first thing you must do (after balancing the equation) is to find the limiting reactant. One way to do that is to divide the moles of each reactant by the corresponding coefficient in the balanced equation. Whichever value is less indicates the limiting reactant (see below for this problem).
N2 + 3H2 ==> 2NH3 .. balanced equation
moles N2 = 43.00 g x 1 mol N2 / 28 g = 1.54 mols N2 (÷1->1.54)
moles H2 = 10.62 g x 1 mol H2/ 2 g = 5.31 mols H2 (÷3->1.77)
Since 1.54 is less than 1.77, this tells us that N2 is the limiting reactant, and the moles of N2(1.54 mols) will determine how much NH3 can be formed.
Now, we use 1.54 mols of N2 and the stoichiometry of the balanced equation, along with dimensional analysis to get our answer:
mass of NH3 formed = 1.54 mols N2 x 2 mols NH3 / mol N2 x 17 g NH3 / mol NH3 = 52.36 g NH3