A gas in a pistoncylinder assembly undergoes a process for

Chapter 2, Problem 2.26

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QUESTION:

A gas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is \(p V^{2}=\text { constant }\)t. The initial pressure is 1 bar, the initial volume is \(0.1 \mathrm{m}^{3}\), and the final pressure is 9 bar. Determine (a) the final volume, in \(\mathrm{m}^{3}\), and (b) the work for the process, in kJ.

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QUESTION:

A gas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is \(p V^{2}=\text { constant }\)t. The initial pressure is 1 bar, the initial volume is \(0.1 \mathrm{m}^{3}\), and the final pressure is 9 bar. Determine (a) the final volume, in \(\mathrm{m}^{3}\), and (b) the work for the process, in kJ.

ANSWER:

Step 1 of 3

The following are given by the question.

The relationship between pressure and volume,

The initial pressure, 

Initial volume, 

Final pressure, 

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