One lb of oxygen, O2, undergoes a power cycle consisting

Chapter 3, Problem 3.145

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One lb of oxygen, O2, undergoes a power cycle consisting of the following processes:

Process 1–2: Constant-volume heating from \(p_{1}=20 \mathrm{lbf} / \mathrm{in.}^{2}\), \(T_{1}=500^{\circ} \mathrm{R} \text { to } T_{2}=820^{\circ} \mathrm{R}\).

Process 2–3: Adiabatic expansion to \(v_{3}=1.432 v_{2}\).

Process 3–1: Constant-pressure compression to state 1.

Sketch the cycle on a p–v diagram. Assuming ideal gas behavior, determine

(a) the pressure at state 2, in \(\mathrm{lbf} / \mathrm{in}^{2}\)

(b) the temperature at state 3, in \({ }^{\circ} \mathrm{R}\).

(c) the heat transfer and work, each in Btu, for all processes.

(d) the thermal efficiency of the cycle.

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