A piston-cylinder device, with a set of stops on the top, initially contains 1.7

Question

A piston-cylinder device, with a set of stops on the top, initially contains 1.777 kg of air at 247 kPa and 27 degrees Celcius.

Round your final answers to the nearest integer. A piston-cylinder device, with a set of stops on the top, initially contains 1.777 kg of air at 247 kPa and 27 C. Heat is now transferred to the air, and the piston rises until it hits the stops, at which point the volume is twice the initial volume. More heat is transferred until the pressure inside the cylinder also doubles. Determine the work done and the amount of heat transfer for this process. kJ kJ O in

Explanation / Answer

For Work done   For increase in volume to double at constant pressure P1V1/T1 = P2 V2 / T2 as pressure is constant V1 /T1 = V2 / T2   T2 = V2/V1 x T1 = 2 X T1 = 600 K Increase in Temperature = 600-300 = 300 K Work done = for second case = 1.777 kg x 1.01 Kj /Kg /T at constant pressure x 300 = 538 KJ       For Heat Input when Pressure doubles at constant Volume   P1 x V1 /T1 = P2 V2 /T2 P2/ P1= T1/T2 =2 x 600=T2 =1200 Increase in Temperature is 600 deg K   Heat Input Mass x sp heat at constant vvolume x 600 =1.777 x .708 x600 = 755 KJ

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