Question

In a cylinder/piston arrangement, air is compressed in a reversible polytropic process to a final state...

In a cylinder/piston arrangement, air is compressed in a reversible polytropic process to a final state of 800 kPa, 500 K. Initially air is at 110 kPa and 25oC. During the compression process heat transfer takes place with the ambient maintained at 25oC. Assume air as an ideal gas (R =0.287 kJ/kg) and has constant specific heats of Cp = 1.004 kJ/kgK and Cv = 0.717 kJ/kgK. If the mass of air in the cylinder is 0.1286 kg, determine

a) the polytropic exponent n,

b) the final volume of the air,

c) the work done by the air,

d) the heat transfer and

e) the total entropy generation for the process.

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