The pressure-volume diagram of an ideal piston-cylinder air compressor is shown

Question

The pressure-volume diagram of an ideal piston-cylinder air compressor is shown on the figure at right. During process 1-2 air enters the cylinder as its volume increases from V1=0 to V2 at constant pressure P1=P2. During process 2-3 no air enters or leaves the cylinder, and the pressure increases to from P2 to P3 as the volume decreases. The process follows the polytrophic path PV"=constant, with n=1.40. During process 3-4 air leaves the cylinder as its volume decreases from V3 to V4=0 at constant pressure P3=P4. During process 4-1 no air enters or leaves the cylinder, and the pressure decreases from P4 to P1 as the volume remains V4=V1=0. An ideal air compressor has inlet pressure P1=P2=0.0 kPa gage, discharge pressure P3=P4= 500 kPa gage, and maximum volume V2= 2.25 cm3. Atmospheric pressure is 100 kPa. What is work done by the air in the cylinder for each of the processes 1-2, 2-3, 3-4, and 4-1? What is the total work done by the air for one complete cycle?

Explanation / Answer

b)work done =area enclosed.

Please increase the time I will explain both answers in detail.

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