
Matthew C. answered 05/16/19
Bachelor's of Science in Chemistry
By the Ideal Gas Law, we know that 1 mol of any gas is equivalent to 22.4 L of that gas at STP. We can use this fact to determine the volume of CO2 that is produced at STP.
50 L CH4 x (1 mol CH4/22.4 L CH4) x (1 mol CO2/1 mol CH4) x (22.4 L CO2/1 mol CO2) =
50 L CO2
Alternatively, we could take advantage of the fact that since CH4 and CO2 are in a 1:1 molar ratio, then they must be the same volume, as they both would correspond to an equivalent number of moles.