If N2 reacts with H2 to form NH3, the balanced chemical equation would be
N2 + 3H2 → 2NH3
This question is asking you to find the limiting reactant-which reactant there is less of. This does not always mean the smaller mass, but the smaller amount of product that each would produce.
First step is to convert both masses into moles. Multiply the mass given by each molar mass. The molar mass of N2 is 28.00 g/mol. The molar mass of H2 is 2.02 g/mol.
The next step is to convert from the moles of each reactant to moles of the product. Whichever reactant yields a smaller number of moles of NH3 is the limiting reactant. This is how much NH3 can have been theoretically produced.
56.50 g N2 | 1 mol N2 | 2 mol NH3 |
28.00 g N2 | 1 mol N2 |
There would be 4.04 mol NH3 produced from 56.50 g N2.
48.65 g H2 | 1 mol H2 | 2 mol NH3 |
2.02 g H2 | 3 mol H2 |
There would be 16.06 mol NH3 produced from 48.65 g H2.
Because there are fewer moles produced from N2, it is the limiting reactant, and it will determine how much NH3 can be produced. Use the 4.04 mol NH3 and multiply by its molar mass of 17.03 g/mol:
4.04 mol NH3 | 17.03 g NH3 |
1 mol NH3 |
68.80 g of NH3 is produced.
Not all the H2 was used up, so this is the excess reagent. To find the amount of H2 used up in the reaction, start with the mass of the limiting reagent, mass of N2, and convert it to grams of H2. Multiply across.
56.50 g N2 | 1 mol N2 | 3 mol H2 | 2.02 g H2 |
28.00 g N2 | 1 mol N2 | 1 mol H2 |
The mass of H2 used up was 12.23 g.
The amount of H2 remaining was therefore 48.65g – 12.23g = 36.42g H2.