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(10 points) Assume that the air volume in a small automobile tire is constant and equal to the volume between two concentric cylinders 13 cm high with diameters of 33 cm and 52 cm. The air in the tire is initially at 25 °C and 202 kPa. Immediately after air is pumped into the tire in a garage,the temperature is 30°C and the pressure is 303 kPa. Later, the tire experiences cold winter weather and cools to 0 °C. (a) What mass of air (in units of kg) was added to the tire in the garage? (b) What is the air pressure (in units of kPa) after the air has cooled to a temperature of 0 °C?

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