A gas contained in a piston-cylinder assembly undergoes a cycle consisting of th

Question

A gas contained in a piston-cylinder assembly undergoes a cycle consisting of the following three processes:

A gas contained in a piston- cylinder assembly undergoes a cycle consisting of the following three processes: process 1-2: isobaric process with p=1.4bar, v_1= 0.028m^3 , w_12 = 10.5kj; process 2-3: compression with pv = constant, U_3 = U_2; process 3-1: constant volume, U_1- U_3=-26.4kj. there are no significant changes in kinetic or potential energy Sketch the cycle on a p-v diagram. Calculate the net work for the cycle, in kj. Calculate the heat transfer for process 1-2, in kj.

Explanation / Answer

Process 1-2

P = 1.4 bar = constant , V1 = 0.028 m3   , W12 = 10.5 kJ

Process 2-3

Compression PV = constant i.e isothermal process U3 = U2

Process 3-1

Constant volume U1 - U3 = -26.4 kJ

(a.) you can easily draw it from the given data.

(b.) Net Work done = W12 + W23 + W31

            W12 = 10.5 kJ

         W23 =

         W31 = 0

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