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As shown in Figure, a gas within a piston-cylinder assembly undergoes a thermody

ID: 503218 • Letter: A

Question

As shown in Figure, a gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series: Process 1-2: Compression with U_2 = U_1. Process 2-3: Constant-volume cooling to p3 = 140 kPa, V_3 = 0.028 m^3. Process 3-1: Constant-pressure expansion with W_31 = 10.5 kJ. For the cycle, W_cycle = 28.3 kJ. Assume no changes in kinetic or potential energy. (a) Find the volume at state 1, in m^3 (b) Calculate the work and heat transfer for process 1-2, each in kJ. (c) Can this be a power cycle? A refrigeration cycle? Explain with calculations.

Explanation / Answer

w cycle = 28.3 kj

v= 0.028 m3

Pressure = 140 kpa

Volume 1/p

PV =C

P1v1=p2v2=p3v3

W =w3- X

W-W3 =X

X= 28.3-10.5

X= 17.8 KJ

P = 1/VOLUME

140 = 1/V2

V2 = 140