Question

Under certain circumstances, carbon dioxide, CO2(g), can be made to react with hydrogen gas, H2(g), to produce methane, CH4(g), and water vapor, H2O(g): CO2(g)+4H2(g)→CH4(g)+2H2O(g)

Part A How many moles of methane are produced when 36.6 moles of carbon dioxide gas react with excess hydrogen gas? Express your answer with the appropriate units.

Part B How many moles of hydrogen gas would be needed to react with excess carbon dioxide to produce 53.6 moles of water vapor? Express your answer with the appropriate units.

Answer 1

a)     CO2(g) +      4H2(g) →    CH4(g) +    2H2O(g)

       1 mol                                  1 mol

      36.6 mol                                ? = 36.6 mol

Therefore,

36.6 moles of methane are produced when 36.6 moles of carbon dioxide gas react with excess hydrogen gas.

b) CO2(g) +      4H2(g) →    CH4(g) +    2H2O(g)

                      4 mol                              2 mol

                      ?                                   53.6 mol

                       ? = 4 mol H2 x (53.6 mol water/ 2 mol water)

                        = 107.2 mol H2

Therefore,

107.2 moles of hydrogen gas would be needed to react with excess carbon dioxide to produce 53.6 moles of water vapor.