Final answer:
To find the mass of octane needed to release 5.00 moles of CO₂, we need to consider the balanced chemical equation and use stoichiometry calculations.
Step-by-step explanation:
To find the mass of octane needed to release 5.00 moles of CO₂, we need to consider the balanced chemical equation. The balanced equation for the combustion of octane is:
C₈H₁₈ + 12.5O₂ → 8CO₂ + 9H₂O
From the equation, we can see that 1 mole of octane produces 8 moles of CO₂. So, to produce 5.00 moles of CO₂, we need:
5.00 moles CO₂ × 1 mole octane/8 moles CO₂ × 114.23 g/mole octane = 71.39 g
Therefore, the mass of octane needed to release 5.00 moles of CO₂ is approximately 71.39 g.