
Lisa D. answered 01/21/23
Experienced AP Chemistry Teacher / Patient and Knowledgeable and Tutor
Start with the balanced equation:
CH4 + 2O2 --> CO2 + 2H2O
When you have amounts for both reactants, you have to determine which one will be completely consumed first (the limiting reactant)...this is the value you will use to start all the calculations
An easy way to determine the limiting reactant is to calculate the amount of a product that would be produced if each reactant is used completely...the one that produces the smallest amount is limiting.
We can use the balanced equation and ratios for this:
1 mol CH4 / 1 mol CO2 = 13 mol CH4 / x mol CO2.....x = 13 mol CO2
2 mol O2 / 1 mol CO2 = 1 mol O2 / x mol CO2.... x = .5 mol CO2
O2 is the limiting reactant...meaning when 0.5 mol CO2 is produced, you will have used all of the O2 and the reaction will stop. So 0.5 mol CO2 is the largest amount that would be produced.