Assume that a car burns octane, $\mathrm{C}_{8} \mathrm{H}_{18}\left(d=0.703 \mathrm{~g} / \mathrm{cm}^{3}\right)$.
(a) Write the balanced equation for burning octane in air, forming $\mathrm{CO}_{2}$ and $\mathrm{H}_{2} \mathrm{O}$.
(b) If the car has a fuel efficiency of 32 miles per gallon of octane, what volume of $\mathrm{CO}_{2}$ at $25^{\circ} \mathrm{C}$ and $1.0 \mathrm{~atm}$ is generated when the car goes on a 10.-mile trip?