An automobile tire is initially filled with air (which may be treated as an idea

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An automobile tire is initially filled with air (which may be treated as an ideal gas) at an initial pressure {state 1} of 210 kPa gage, as measured by a tire pressure gauge, and a temperature of 25 degree C. The initial volume of air within the tire is 25 dm3, and the internal volume of the tire remains constant. The air is heated to a temperature of 50 degree C {state 2). Finally, air is withdrawn from the tire until the final pressure {state 3} is 210 kPa gage, while the internal volume of the tire and the air temperature remain constant. Atmospheric pressure is 100 kPa, and ambient temperature is 25 degree C. Determine: (a) the pressure of the air at state 2, (b) the mass withdrawn from the tire between states 2 and 3, and (c) the total work done on or by the air within the tire between the initial (state 1) and the final (state 3) conditions, considering the space within the tire as the system?

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