J.R. S. answered 02/01/24
Ph.D. University Professor with 10+ years Tutoring Experience
N2 + 3H2 ==> 2NH3 .. balanced equation
From the balanced equation we see that it takes 3 MOLES of H2 to react with each 1 MOLE of N2. (Note: we work in moles, not grams, for these types of stoichiometry problems). So we will first find out how many moles of N2 we have in 15 g of N2, and then find moles of H2 needed (3 x). That will be our answer in moles. If we want to convert to grams, we will do that at the end.
Moles of N2 present = 15 g N2 x 1 mole N2 / 28 g = 0.536 moles N2
Moles of H2 needed = 0.536 moles N2 x 3 moles H2 / 1 mol N2 = 1.6 moles H2 needed (answer)*
Grams of H2 needed = 1.61 moles H2 x 2 g H2 / mole = 3.2 grams of H2 needed (answer)*
*Answers given to 2 significant figures.