A piston-cylinder assembly initially contains 0.5 m 3 of air at 102 kPa and 90 o

Question

A piston-cylinder assembly initially contains 0.5 m3 of air at 102 kPa and 90oC. The air is now compressed to 0.2m3 in such a way that the temperature inside the cylinder remains constant. Determine the work done during this process and show the process on a PV diagram.

A piston-cylinder assembly initially contains 0.5 m3 of air at 102 kPa and 90oC. The air is now compressed to 0.2m3 in such a way that the temperature inside the cylinder remains constant. Determine the work done during this process and show the process on a PV diagram. You may consider air to be an ideal gas under these conditions

Explanation / Answer

W = mRT ln (V2/V1)

m = PV/RT = 102*10^3 *0.5 / 287*((90+273)) = 0.4895 kg

W = 0.4895*287*(90+273) ln(0.2 / 0.5)

W = -46730.8 J = -46.738 kJ

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