Assume that the air volume in a small automobile tire is constant and equal to the volume between two concentric cylinders \(13 \mathrm{~cm}\) high with diameters of \(33 \mathrm{~cm}\) and \(52 \mathrm{~cm}\). The air in the tire is initially at \(25^{\circ} \mathrm{C}\) and \(202 \mathrm{kPa}\). Immediately after air is pumped into the tire, the temperature is \(30^{\circ} \mathrm{C}\) and the pressure is \(303 \mathrm{kPa}\). What mass of air was added to the tire? What would be the air pressure after the air has cooled to a temperature of \(0{ }^{\circ} \mathrm{C}\) ?