An automobile tire has a maximum rating of $38.0$ psi (gauge pressure). The tire is inflated (while cold) to a volume of $11.8 \mathrm{~L}$ and a gauge pressure of $36.0$ psi at a temperature of $12.0{ }^{\circ} \mathrm{C}$. Driving on a hot day, the tire warms to $65.0{ }^{\circ} \mathrm{C}$ and itsvolume expands to $12.2 \mathrm{~L}$. Does the pressure in the tire exceed its maximum rating? (Note: The gauge pressure is the difference between the total pressure and atmospheric pressure. In this case, assume that atmospheric pressure is $14.7$ psi.)