Under certain circumstances, carbon dioxide, CO2(g), can be made to react with h

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)

How many moles of methane are produced when 82.6 moles of carbon dioxide gas react with excess hydrogen gas?

Express your answer with the appropriate units. For example, write the unit moles as mol.

How many moles of hydrogen gas would be needed to react with excess carbon dioxide to produce 99.1 moles of water vapor?

Express your answer with the appropriate units. For example, write the unit moles as mol.

Explanation / Answer

The given reaction is as following

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

It is a balance equation. It indicates that 1 mol of CO2 will react with 4 mol of H2 to produce 1 mol of CH4 and 2 mol of H2O. The proportion of reactants and products will remain same.

Therefore, 82.6 mol of CO2 will react with excess amount of H2 (only 4*82.6 mol of H2 will be utilized) to produce 82.6 mol of CH4. The answer to the first question is 82.6 mol.

According to the balanced equation, 4 mol of H2 produce 2 mole of H2O. Therefore, 99.1 mol of H2O will be produced by 198.2 mol of H2 in presence of excess CO2. Please note, out of excess amount of CO2 only 198.2/4 mole of CO2 will be utilized.

So the answer to the second question is 198.2 mole.

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