a) A gas is contained in a vessel of volume 0.02 m3 at a pressure of 300 kPa and a temperature of
15°C. The gas is passed into a vessel of volume 0.015 m3
. Determine to what temperature the
gas must be cooled for the pressure to remain the same
b) The piston of an air compressor compresses air to 1⁄4 of its original volume during its stroke.
Determine the final pressure of the air if the original pressure is 100 kPa, assuming an isothermal
change. The characteristic gas constant for air is 287 Jkg−1K
−1
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