Air (a diatomic ideal gas) at 27.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 50.0 cm. The down stroke adiabatically compresses the air, which reaches a gauge pressure of 800 kPa before entering the tire (Fig. P21.26). Determine (a) the volume of the compressed air and (b) the temperature of the compressed air. (c) What If? The pump is made of steel and has an inner wall that is 2.00 mm thick. Assume that 4.00 cm of the cylinder's length is allowed to come to thermal equilibrium with the air. What will be the increase in wall temperature?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter21: Heat And The First Law Of Thermodynamics
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Air (a diatomic ideal gas) at 27.0°C and atmospheric
pressure is drawn into a bicycle pump that has a cylinder
with an inner diameter of 2.50 cm and length 50.0 cm. The
down stroke adiabatically compresses the air, which reaches
a gauge pressure of 800 kPa before entering the tire (Fig.
P21.26). Determine (a) the volume of the compressed air
and (b) the temperature of the compressed air. (c) What If?
The pump is made of steel and has an inner wall that is
2.00 mm thick. Assume that 4.00 cm of the cylinder's length
is allowed to come to thermal equilibrium with the air. What
will be the increase in wall temperature?
Transcribed Image Text:Air (a diatomic ideal gas) at 27.0°C and atmospheric pressure is drawn into a bicycle pump that has a cylinder with an inner diameter of 2.50 cm and length 50.0 cm. The down stroke adiabatically compresses the air, which reaches a gauge pressure of 800 kPa before entering the tire (Fig. P21.26). Determine (a) the volume of the compressed air and (b) the temperature of the compressed air. (c) What If? The pump is made of steel and has an inner wall that is 2.00 mm thick. Assume that 4.00 cm of the cylinder's length is allowed to come to thermal equilibrium with the air. What will be the increase in wall temperature?
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