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Solved: Analyzing Thermodynamic CyclesA gas within a
Chapter 2, Problem 76P(choose chapter or problem)
A gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes:
Process 1-2: Constant volume, \(V=0.028 \mathrm{~m}^3, U_2-U_1= 26.4 \mathrm{~kJ}\).
Process 2-3: Expansion with pV = constant, \(U_3=U_2\).
Process 3-1: Constant pressure, p = 1.4 bar, \(W_{31}=-10.5 \mathrm{~kJ}\).
There are no significant changes in kinetic or potential energy.
(a) Sketch the cycle on a p-V diagram.
(b) Calculate the net work for the cycle, in kJ.
(c) Calculate the heat transfer for process 2-3, in kJ.
(d) Calculate the heat transfer for process 3-1, in kJ.
Is this a power cycle or a refrigeration cycle?
Questions & Answers
QUESTION:
A gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes:
Process 1-2: Constant volume, \(V=0.028 \mathrm{~m}^3, U_2-U_1= 26.4 \mathrm{~kJ}\).
Process 2-3: Expansion with pV = constant, \(U_3=U_2\).
Process 3-1: Constant pressure, p = 1.4 bar, \(W_{31}=-10.5 \mathrm{~kJ}\).
There are no significant changes in kinetic or potential energy.
(a) Sketch the cycle on a p-V diagram.
(b) Calculate the net work for the cycle, in kJ.
(c) Calculate the heat transfer for process 2-3, in kJ.
(d) Calculate the heat transfer for process 3-1, in kJ.
Is this a power cycle or a refrigeration cycle?
ANSWER:Part (a)
Step 1 of 10:
A gas is kept inside a cylinder having a piston. There are three processes in the cylinder. Our aim is to draw the PV diagram of the processes.
Process 1−2: Constant volume, V = 0.028 m3
Process 2−3: Expansion with pV = constant,
Process 3−1: Constant pressure, p = 1.4 bar
Part (b)