Three lb of water is contained in a pistoncylinder

Chapter 3, Problem 3.75

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Three lb of water is contained in a piston–cylinder assembly, initially occupying a volume \(V_{1}=30 \mathrm{ft}^{3} \text { at } T_{1}=300^{\circ} \mathrm{F}\). The water undergoes two processes in series:

Process 1–2: Constant-temperature compression to \(V_{2}=11.19 \mathrm{ft}^{3}\), during which there is an energy transfer by heat from the water of 1275 Btu.

Process 2–3: Constant-volume heating to \(p_{3}=120 \mathrm{lbf} / \mathrm{in}^{2}\)

Sketch the two processes in series on a T–v diagram. Neglecting kinetic and potential energy effects, determine the work in Process 1–2 and the heat transfer in Process 2–3, each in Btu.

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