Final answer:
To burn 4.7 moles of hydrogen sulfide completely, 7.05 moles of oxygen gas are needed, as per the balanced chemical equation for the combustion of hydrogen sulfide.
Step-by-step explanation:
To determine the number of moles of oxygen gas needed to completely burn 4.7 moles of hydrogen sulfide, we look at the balanced chemical equation for the reaction:
2H₂S (g) + 3O₂ (g) → 2SO₂ (g) + 2H₂O(g)
This balanced equation indicates that 2 moles of H₂S react with 3 moles of O₂. To find out how much O₂ is needed for the combustion of 4.7 moles of H₂S, we set up a proportion:
× moles O₂ = (4.7 moles H₂S) × (3 moles O₂ / 2 moles H₂S)
After performing the calculation, × moles O₂ = 7.05 moles O₂. Therefore, 7.05 moles of oxygen are required to completely react with 4.7 moles of hydrogen sulfide.