A gas within a pistoncylinder assembly undergoes a

Chapter 2, Problem 2.77

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A gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where \(p_{1}=1 \text { bar, } V_{1}=1.5 \mathrm{~m}^{3}\), as follows:

Process 1–2: Compression with \(p V=\text { constant }, W_{12}=-104 \mathrm{~kJ}\), \(U_{1}=512 \mathrm{~kJ}, U_{2}=690 \mathrm{~kJ}\).

Process 2–3: \(W_{23}=0, Q_{23}=-150 \mathrm{~kJ}\).

Process 3–1: \(W_{31}=+50 \mathrm{~kJ}\).

There are no changes in kinetic or potential energy. (a) Determine \(Q_{12}, Q_{31} \text {, and } U_{3}\), each in kJ. (b) Can this cycle be a power cycle? Explain.

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