Problem 2: A motorist inflates the tires of her car to a gauge pressure of 180 kPa on a day when the temperature is -8.0ºC. When she arrives at her destination, the tire pressure has increased to 245 kPa.
(a) If the volume of the enclosed air is 30 L when the temperature is -8.0ºC, how many moles of air are in the tire?
(b) What is the average translational kinetic energy of the air molecules at -8.0ºC?
(c) What is the rms speed of the O2 and N2 molecules inside the tire? Molecular mass for O2 is 32 g/mole and for N2 is 28 g/mole.
(d) What is the temperature of the tires when the motorist arrives at her destination if we assume that the tires do not expand and there is no leak?
(e) What is the temperature of the tires when the motorist arrives at her destination if we assume that the tires don't expand but the number of air molecules is reduced by 10% due to a leak?
(f) What is the temperature of the tires when the motorist arrives at her destination if we assume that the tires expand so the volume of the enclosed air increases by 7 percent and there is no leak?