Final answer:
To produce two moles of hydrogen peroxide (H₂O₂), two moles of hydrogen gas (H₂) are needed according to the balanced chemical equation 2 H₂ + O₂ → 2 H₂O₂.
Step-by-step explanation:
To determine how many moles of hydrogen gas (H₂) are needed to produce two moles of hydrogen peroxide (H₂O₂), we need to look at the stoichiometry of the reaction. The balanced chemical equation for the formation of hydrogen peroxide from hydrogen and oxygen is:
2 H₂ + O₂ → 2 H₂O₂
This equation tells us that two moles of hydrogen gas react with one mole of oxygen gas to produce two moles of hydrogen peroxide. Therefore, to produce two moles of H₂O₂, we need two moles of H₂. Hence, the answer is option (b) 2.