An insulated cylinder is divided into two parts of 1 m3

Chapter 3, Problem 151HP

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QUESTION:

Problem 151HP

An insulated cylinder is divided into two parts of 1 m3 each by an initially locked piston, as shown in Fig. P3.151. Side A has air at 200 kPa, 300 K, and side B has air at 1.0 MPa, 1000 K. The piston is now unlocked so that it is free to move, and it conducts heat so that the air comes to a uniform temperature TA = TB. Find the mass in both A and B and the final T and P.

FIGURE P3.151

Questions & Answers

QUESTION:

Problem 151HP

An insulated cylinder is divided into two parts of 1 m3 each by an initially locked piston, as shown in Fig. P3.151. Side A has air at 200 kPa, 300 K, and side B has air at 1.0 MPa, 1000 K. The piston is now unlocked so that it is free to move, and it conducts heat so that the air comes to a uniform temperature TA = TB. Find the mass in both A and B and the final T and P.

FIGURE P3.151

ANSWER:

Solution  151 HP

Step 1 of 5

We have to find the mass in both and and the final temperature and pressure .

The mass of the air in both and parts can be found using ideal gas equation.

Where,

kPa

m3

K

gas constant of air

    = 0.287 kJ/molK

Thus,

       

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