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Fundamentals of Engineering Thermodynamics | 7th Edition | ISBN: 9780470495902 | Authors: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
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Using Energy Concepts and the Ideal Gas ModelA

Chapter 3, Problem 111P

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QUESTION:

A piston-cylinder assembly contains air, initially at \(2 \mathrm{bar}, 300 \mathrm{~K}\), and a volume of \(2 \mathrm{~m}^3\). The air undergoes a process to a state where the pressure is 1 bar, during which the pressure-volume relationship is pV= constant. Assuming ideal gas behavior for the air, determine the mass of the air, in kg, and the work and heat transfer, each in kJ.

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QUESTION:

A piston-cylinder assembly contains air, initially at \(2 \mathrm{bar}, 300 \mathrm{~K}\), and a volume of \(2 \mathrm{~m}^3\). The air undergoes a process to a state where the pressure is 1 bar, during which the pressure-volume relationship is pV= constant. Assuming ideal gas behavior for the air, determine the mass of the air, in kg, and the work and heat transfer, each in kJ.

ANSWER:

Solution 111P:

Step 1 of 5:-

Here we need to find the mass of the air, heat transfer and work done.

The piston-cylinder assembly contains air at a pressure of, .

Temperature of air is: .

And volume is: .

The system evolved in such a way that the pressure reached to , by obeying the relationship .

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