A piston/cylinder arrangement, shown in Fig. P2.125,

Chapter 2, Problem 125HP

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QUESTION:

Problem 125HP

A piston/cylinder arrangement, shown in Fig. P2.125, contains air at 250 kPa and 300°C. The 50-kg piston has a diameter of 0.1 m and initially pushes against the stops. The atmosphere is at 100 kPa and 20°C. The cylinder now cools as heat is transferred to the ambient surroundings.

a. At what temperature does the piston begin to move down?

b. How far has the piston dropped when the temperature reaches ambient?

c. Show the process in a Pv and a Tv diagram.

FIGURE P2.125

Questions & Answers

QUESTION:

Problem 125HP

A piston/cylinder arrangement, shown in Fig. P2.125, contains air at 250 kPa and 300°C. The 50-kg piston has a diameter of 0.1 m and initially pushes against the stops. The atmosphere is at 100 kPa and 20°C. The cylinder now cools as heat is transferred to the ambient surroundings.

a. At what temperature does the piston begin to move down?

b. How far has the piston dropped when the temperature reaches ambient?

c. Show the process in a Pv and a Tv diagram.

FIGURE P2.125

ANSWER:

Solution 125 HP:

Step 1 of 5:-

The pressure inside the piston cylinder arrangement is,

.

The inside temperature is,

.

The mass of the piston is,

.

The diameter of the piston is,

.

The radius will be,

.

The atmospheric pressure is,

.

And the atmospheric temperature is,

.

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