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 l and a gauge pressure of 36.0 psi at a temperature of 12.0 °c. on a hot day, the tire warms to 65.0 °c, and its volume expands to 12.2 l. does the pressure in the tire exceed its maximum rating? (note: the gauge pressure is the difference between the total pres-sure and atmospheric pressure. in this case, assume that atmo-spheric pressure is 14.7 psi.)