Final answer:
To generate 13.0 mol of NO₂ in a reaction with a 75.4% yield, approximately 17.24 mol of O₂ would be required.
Step-by-step explanation:
The reaction provided is: 2NO(g) + O₂(g) → 2NO₂(g)
Based on the balanced equation, the molar ratio between NO₂ and O₂ is 1:1. Therefore, if we want to generate 13.0 mol of NO₂, we will need 13.0 mol of O₂.
However, the question states that the reaction has a 75.4% yield. The yield is the amount of product actually obtained compared to the theoretical amount.
Therefore, we need to adjust for the yield by dividing the required moles of O₂ by the yield:
13.0 mol of O₂ ÷ 0.754 = 17.24 mol of O₂