A cylinder having a piston restrained by a linear spring

Chapter 3, Problem 105HP

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QUESTION:

Problem 105HP

A cylinder having a piston restrained by a linear spring (of spring constant 15 kN/m) contains 0.5 kg of saturated vapor water at 120°C, as shown in Fig. P3.105. Heat is transferred to the water, causing the piston to rise. If the piston’s cross-sectional area is 0.05 m2 and the pressure varies linearly with volume until a final pressure of 500 kPa is reached, find the final temperature in the cylinder and the heat transfer for the process.

FIGURE P3.105

Questions & Answers

QUESTION:

Problem 105HP

A cylinder having a piston restrained by a linear spring (of spring constant 15 kN/m) contains 0.5 kg of saturated vapor water at 120°C, as shown in Fig. P3.105. Heat is transferred to the water, causing the piston to rise. If the piston’s cross-sectional area is 0.05 m2 and the pressure varies linearly with volume until a final pressure of 500 kPa is reached, find the final temperature in the cylinder and the heat transfer for the process.

FIGURE P3.105

ANSWER:

Solution 105HP

Step 1 of 5

We are required to calculate the final temperature of the cylinder.

Also, the heat transferred has to be calculated.

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