Water initially at 200 kPa and 300°C is contained in a

Chapter 3, Problem 43P

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QUESTION:

Water initially at \(200 \mathrm{kPa}\) and \(300^{\circ} \mathrm{C}\) is contained in a piston-cylinder device fitted with stops. The water is allowed to cool at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool until the pressure is \(100 \mathrm{kPa}\). On the \(T\)-v diagrams sketch, with respect to the saturation lines, the process curves passing through both the initial, intermediate, and final states of the water. Label the \(T, P\) and \(v\) values for end states on the process curves. Find the overall change in internal energy between the initial and final states per unit mass of water.

FIGURE P3–43

Equation Transcription:

300℃

Text Transcription:

200 kPa

300℃

100 kPa

T-v

T

P

v

Questions & Answers

QUESTION:

Water initially at \(200 \mathrm{kPa}\) and \(300^{\circ} \mathrm{C}\) is contained in a piston-cylinder device fitted with stops. The water is allowed to cool at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool until the pressure is \(100 \mathrm{kPa}\). On the \(T\)-v diagrams sketch, with respect to the saturation lines, the process curves passing through both the initial, intermediate, and final states of the water. Label the \(T, P\) and \(v\) values for end states on the process curves. Find the overall change in internal energy between the initial and final states per unit mass of water.

FIGURE P3–43

Equation Transcription:

300℃

Text Transcription:

200 kPa

300℃

100 kPa

T-v

T

P

v

ANSWER:

Problem 43P

Water initially at 200 kPa and 300°C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool until the pressure is 100 kPa. On the T-v diagrams sketch, with respect to the saturation lines, the process curves passing through both the initial, intermediate, and final states of the water. Label the T, P and v values for end states on the process curves. Find the overall change in internal energy between the initial and final states per unit mass of water.

                                                              Step by Step Solution

Step 1 of 5

Show the T - v diagram of the given process as in Figure (1).

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