The balanced chemical equation for the reaction of hydrogen with iron oxide is:
3H2 + Fe3O4 -> 4Fe + 4H2O
From the equation, we can see that 3 moles of hydrogen are required to react with 1 mole of iron oxide.
Therefore, to completely react with 3 moles of iron oxide, we need:
3 moles of H2 x (1 mole Fe3O4 / 3 moles H2) = 1 mole Fe3O4
Since 1 mole of Fe3O4 requires 3 moles of H2, we need:
3 moles of H2 x 1 mole Fe3O4 = 3 moles of H2
Therefore, the answer is 3 moles of hydrogen (H2).