Final answer:
To find the number of moles of CO₂ produced, we use the balanced equation for the combustion of octane and the given amount of oxygen.
Step-by-step explanation:
To determine the number of moles of CO₂ produced, we need to use the balanced equation for the combustion of octane. The equation is: 2 C₈H₁₈ + 25 O₂ → 16 CO₂ + 18 H₂O.
From the equation, we can see that for every 2 moles of octane, 16 moles of CO₂ are produced. Therefore, if 8.12 mol of oxygen reacts with octane, we can calculate the moles of CO₂ produced as follows:
(8.12 mol O₂ * 16 mol CO₂) / 25 mol O₂ = 5.20 mol CO₂
Therefore, the correct answer is 5.20 mol, which is not listed as one of the answer choices. It seems there may be an error in the provided options.