Final answer:
Using the balanced chemical equation for the combustion of hydrogen sulfide, we find that 7.05 moles of oxygen gas are needed to completely burn 4.7 moles of hydrogen sulfide.
Step-by-step explanation:
The chemical reaction between hydrogen sulfide (H2S) and oxygen (O2) to produce sulfur dioxide (SO2) and water (H2O) can be represented by the balanced equation: 2 H2S (g) + 3 O2 (g) → 2 SO2 (g) + 2 H2O(g).
To determine the number of moles of oxygen gas required to completely burn 4.7 moles of hydrogen sulfide, we can use stoichiometry based on the balanced equation.
From the equation, every 2 moles of H2S require 3 moles of O2. Hence, for 4.7 moles of H2S:
(4.7 moles H2S) * (3 moles O2 / 2 moles H2S) = 7.05 moles O2
Therefore, 7.05 moles of oxygen gas would be needed to completely burn 4.7 moles of hydrogen sulfide.