The balanced chemical reaction would be written as:
CO2 + 4H2 = CH4 + 2H2O
We are given the amount of carbon dioxide to be used for the reaction. This will be used as the starting point for the calculations.
71.1 mol CO2 ( 1 mol CH4 / 1 mol CO2 ) = 71.1 mol CH4 produced
Hope this answers the question. Have a nice day.