To find the number of moles of oxygen that reacted with propane to produce 5.3 moles of CO2, we use the balanced combustion equation. It shows a 3:5 ratio of CO2 to O2, leading to the calculation that 8.83 moles of O2 reacted.
To determine the number of moles of oxygen that reacted to produce 5.3 moles of carbon dioxide in the combustion of propane, we must first write and balance the chemical equation:
C3H8 + 5O2 → 3CO2 + 4H2O
From the balanced equation, the stoichiometric ratio between CO2 and O2 is 3:5. Therefore, for every 3 moles of CO2 produced, 5 moles of O2 are consumed. Using simple proportions we find:
- For 3 moles of CO2, 5 moles of O2 are used.
- For 5.3 moles of CO2, X moles of O2 are used.
By cross-multiplying and solving for X, we get:
X = (5 moles of O2 / 3 moles of CO2) × 5.3 moles of CO2 = 8.83 moles of O2
Thus, the correct answer is option A) 8.83 moles.