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As shown in Fig. P2.80, a gas within a pistoncylinder
Chapter 2, Problem 2.80(choose chapter or problem)
As shown in Fig. P2.80, 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 \(p_{3}=140 \mathrm{kPa}, V_{3}=0.028 \mathrm{~m}^{3}\).
Process 3–1: Constant-pressure expansion with \(W_{31}=10.5 \mathrm{~kJ}\).
For the cycle, Wcycle 5 28.3 kJ. There are no changes in kinetic or potential energy. Determine (a) the volume at state 1, in m3, (b) the work and heat transfer for process 1–2, each in kJ. (c) Can this be a power cycle? A refrigeration cycle? Explain.
Questions & Answers
QUESTION:
As shown in Fig. P2.80, 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 \(p_{3}=140 \mathrm{kPa}, V_{3}=0.028 \mathrm{~m}^{3}\).
Process 3–1: Constant-pressure expansion with \(W_{31}=10.5 \mathrm{~kJ}\).
For the cycle, Wcycle 5 28.3 kJ. There are no changes in kinetic or potential energy. Determine (a) the volume at state 1, in m3, (b) the work and heat transfer for process 1–2, each in kJ. (c) Can this be a power cycle? A refrigeration cycle? Explain.
ANSWER:
Step 1 of 3
Part (a)
The expression to calculate the work done is given as follows,
Substitute the values and solve as,
Hence the volume at the state -1 is 