Final answer:
The number of moles of water that can be formed from 134 mol of hydrogen gas and 62 mol of oxygen gas is 124 moles because oxygen is the excess reactant, and it limits the production of water to twice its own amount.
Step-by-step explanation:
To find the number of moles of water that can be formed from 134 mol of hydrogen gas and 62 mol of oxygen gas, we look at the balanced chemical equation for the reaction:
2H₂(g) + O₂(g) → 2H₂O(g)
This reaction shows that two moles of hydrogen react with one mole of oxygen to produce two moles of water. This means that hydrogen is the limiting reactant since it will run out first. With this stoichiometry, half the number of moles of hydrogen will be required in moles of oxygen.
Since we have more moles of hydrogen available (134 mol) than twice the moles of oxygen (124 mol because 62 mol × 2 = 124 mol), oxygen is the excess reactant.
Therefore, we would use the full 62 moles of oxygen, which would require only 124 moles of hydrogen to react completely.
This results in 124 moles of water being produced.