A piston cylinder device contains air initially at 150 KPA; 20C degrees and 0.5m

Question

A piston cylinder device contains air initially at 150 KPA; 20C degrees and 0.5m^3.  The air is now compresses in a polytropic process (pv^n=constant) to 400KPS at 140C degrees.Treat air as perfect gas. Given R=0.2870 KJ/KG*K

A)Caluculate the mass air in the device (m=0.8919kg)

B)Calculate the final volume V2 (v2=0.7643)

C)show that for a polytropic process the boundary work is Wb=mR(T2-T1)(1-n)

D)calculate Wb for this process and its direction when n=1.538

A piston cylinder device contains air initially at 150 KPA; 20C degrees and 0.5m^3. The air is now compresses in a polytropic process (pv^n=constant) to 400KPS at 140C degrees.Treat air as perfect gas. Given R=0.2870 KJ/KG*K Caluculate the mass air in the device (m=0.8919kg) Calculate the final volume V2 (v2=0.7643) show that for a polytropic process the boundary work is Wb=mR(T2-T1)(1-n)

Explanation / Answer

PV = mRT (150 * 10^3)(0.5) = m (0.2870 * 10^3)(20 +273) m=0.8919 Kg P1 V1^n = P2 V2^n PUT VALUE WE GET V2=0.2643 m^3 PUT IN WORK EQN WE GET ANS

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