An automobile tire is filled to a gauge pressure of 200 kPa when its temperature is 20oC. (Gauge pressure is the difference between the actual pressure and atmospheric pressure.) After the car has been driven at high speeds, the tire temperature increases to 50oC

(a) Assuming that the volume of the tire does not change, and that air behaves as an ideal gas, find the gauge pressure of the air in the tire.

(b) Calculate the gauge pressure if the volume of the tire expands by 10%.