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------------------------------------------------ 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.

According to the reaction where carbon dioxide reacts to produce methane, 36.6 moles of carbon dioxide gas will yield an equivalent number of moles of methane, which is 36.6 moles.

The student has asked how many moles of methane are produced when 36.6 moles of carbon dioxide gas react with excess hydrogen gas. To answer this, we should recall that the reaction of methane with oxygen to produce carbon dioxide and water (combustion) can be reversed to produce methane from carbon dioxide through a process known as methanation, which follows the equation:

CO2 + 4H2 ⇒CH4 + 2H2O

From this reaction, we can see that one mole of carbon dioxide yields one mole of methane. Therefore, if 36.6 moles of carbon dioxide react, they will produce an equal number of moles of methane, which is 36.6 moles.