Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bi

Question

Air (a diatomic ideal gas) at 30.0°C and atmospheric pressure is drawn into a bicycle pump (see figure below) that has a cylinder with an inner diameter of 2.50 cm and length 63.0 cm. The downstroke adiabatically compresses the air, which reaches a gauge pressure of 8.00 105 Pa before entering the tire. We wish to investigate the temperature increase of the pump.

The pump is made of steel that is 2.15 mm thick. Assume 4.00 cm of the cylinder's length is allowed to come to thermal equilibrium with the air.

(g) What is the volume of steel in this 4.00-cm length?

Explanation / Answer

The volume of steel in 4 cm length will be

V = pi * (2.7152 - 2.52) * 4 cc ( Outer Area minus inner )

V = 14.07 cc

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