Final answer:
The balanced equation for the reaction is Fe + 2H2O -> Fe(OH)2 + H2. Using stoichiometry, we can find that 0.844 mol of Fe will produce 1.688 mol of H2.
Step-by-step explanation:
In order to determine the moles of H₂ that will be made, we need to look at the balanced equation and use stoichiometry.
For the reaction:
Fe + 2H₂O → Fe(OH)₂ + H₂
The coefficient in front of Fe is 1, and the coefficient in front of H₂ is 2. This means that every mole of Fe will react with 2 moles of H₂O to produce 1 mole of H₂.
In the given question, 0.844 moles of Fe reacts with an excess of H₂O. Since the ratio is 1:2, we can double the number of moles of Fe to find the number of moles of H₂ that will be made.
So, 0.844 mol Fe → 0.844 x 2 = 1.688 mol H₂
Therefore, the answer is option C: 1.688 mol.