An automobile tire having a temperature of −1.6 ◦c (a cold tire on a cold day) is filled to a gauge pressure of 22 lb/in2 . what would be the gauge pressure in the tire when its temperature rises to 45◦c? for simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure remains constant at 14.7 lb/in2 . answer in units of lb/in2 .