A pistoncylinder device initially contains 0.8 m3 of

Chapter 4, Problem 437

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QUESTION:

A pistoncylinder device initially contains 0.8 m3 of saturated water vapor at 250 kPa. At this state, the piston is resting on a set of stops, and the mass of the piston is such that a pressure of 300 kPa is required to move it. Heat is now slowly transferred to the steam until the volume doubles. Show the process on a P-v diagram with respect to saturation lines and determine (a) the final temperature, (b) the work done during this process, and (c) the total heat transfer.

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QUESTION:

A pistoncylinder device initially contains 0.8 m3 of saturated water vapor at 250 kPa. At this state, the piston is resting on a set of stops, and the mass of the piston is such that a pressure of 300 kPa is required to move it. Heat is now slowly transferred to the steam until the volume doubles. Show the process on a P-v diagram with respect to saturation lines and determine (a) the final temperature, (b) the work done during this process, and (c) the total heat transfer.

ANSWER:

Step 1 of 6

A cylinder equipped with a set of stops for the piston to rest on is initially filled with saturated water vapor at a specified pressure. Heat is transferred to water until the volume doubles. The final temperature, the boundary work done by the steam, and the amount of heat transfer are to be determined, and the process is to be shown on a  diagram.Refer to figure below.

Assumptions are

1. The cylinder is stationary and thus the kinetic and potential energy changes are zero.

2.There are no work interactions involved other than the boundary work.

3. The thermal energy stored in the cylinder itself is negligible.

4. The compression or expansion process is quasi-equilibrium.

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