1) Sketch a PV diagram and find the work done by the gas during the following stages. (Draw the PV diagram on paper. Your instructor may ask you to turn in this work.)
(a) A gas is expanded from a volume of 1.0 L to 2.9 L at a constant pressure of 2.8 atm.
(b) The gas is then cooled at constant volume until the pressure falls to 2.0 atm.
(c) The gas is then compressed at a constant pressure of 2.0 atm from a volume of 2.9 L to 1.0 L. (Note: Be careful of signs.)
(d) The gas is heated until its pressure increases from 2.0 atm to 2.8 atm at a constant volume.
Work done ________J
(e) Find the net work done during the complete cycle.
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The solution ...
The solution sketches a PV diagram and finds the work done by the gas.
Compressor and Compression Problem
In a single acting two-stage reciprocating air compressor. 6 kg of air per minute is compressed from 1.013 bar and 17 °C to 10 bar. Both stages have the same pressure ratio and the input cmperature of the second stage is equal to (he input temperature of the first stage (under such circumstances the intercooling is said to he 'complete').
The law of compression and expansion iii both stages is pV'1 = constant. The clearance volume for both stages is 5% of the swept volume and the compressor speed is 360 rev/min The specific gas constant for air is 287 J /kg/K.
(a) Sketch and label a pressure/volume diagram to represent the two stage cycle.
(1) the intermediate pressure
(ii) the intermediate temperature
(iii) the indicated power.