Brittany M. answered 04/01/20
Ph.D. in Chemistry with 5+ Years of Tutoring Experience
First, you want to check and make sure that your equation is balanced (it is). For this problem, you're going to work "backwards" from the product.
A few things you'll need for this problem:
- The molar mass of ammonia is 17.03 g/mol
- The molar mass of N2 is 28.013 g/mol
Starting from grams of ammonia...
21.8 grams NH3 × (1 mol NH3 / 17.03 grams) = 1.28 moles of NH3
Now that you have the moles of NH3, you can convert to moles of Nitrogen needed by using the molar ratio from the balanced equation.
1.28 moles NH3 × ( 1 mol N2 / 2 mols NH3) = 0.64 moles of N2
Now that you have moles of N2, you can convert this into grams of N2.
0.64 moles N2 × (28.013 grams N2 / mol N2) = 17.93 grams of N2 needed
Once you become more familiar with this type of problem you'll be able to do it all in one equation:
21.8g NH3 × (1 mol NH3 / 17.03g NH3)× ( 1 mol N2 / 2 mol NH3) × (28.013g N2 / mol N2) = 17.93g N2