Solution: Applying the Energy BalanceA piston-cylinder

Chapter 3, Problem 71P

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QUESTION:

A piston-cylinder assembly contains \(2 \mathrm{lb}\) of water, initially at \(300^{\circ} \mathrm{F}\). The water undergoes two processes in series: constant-volume heating followed by a constant-pressure process. At the end of the constant-volume process, the pressure is \(100 \mathrm{lbf} / \mathrm{in}^2\) and the water is a two-phase, liquid vapor mixture with a quality of 80%. At the end of the constant-pressure process, the temperature is \(400^{\circ} \mathrm{F}\). Neglect kinetic and potential energy effects.

(a) Sketch T-v and p-v diagrams showing key states and the processes.

(b) Determine the work and heat transfer for each of the two processes, all in Btu.

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QUESTION:

A piston-cylinder assembly contains \(2 \mathrm{lb}\) of water, initially at \(300^{\circ} \mathrm{F}\). The water undergoes two processes in series: constant-volume heating followed by a constant-pressure process. At the end of the constant-volume process, the pressure is \(100 \mathrm{lbf} / \mathrm{in}^2\) and the water is a two-phase, liquid vapor mixture with a quality of 80%. At the end of the constant-pressure process, the temperature is \(400^{\circ} \mathrm{F}\). Neglect kinetic and potential energy effects.

(a) Sketch T-v and p-v diagrams showing key states and the processes.

(b) Determine the work and heat transfer for each of the two processes, all in Btu.

ANSWER:

Step 1 of 4

  1. We have to plot the T-v and p-v  graphs.
  2. We have to calculate the heat transfer and work.

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