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A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure...

A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by pVn = constant. The initial volume is 0.2 m3, the final volume is 0.04 m3, and the final pressure is 2 bar.

For n = 1.3, determine the initial pressure, in bar, and the work for the process, in kJ.

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Expert Solution

Solution : -

Here the gas is compressed adiabatically. The relation between volume and pressure is given by-

If be the initial pressure and volume respectively and be the final pressure and volume respectively the we can write

  

Work done in the process is given by

So the initial pressure 0.2468 bar and the work done is -10.21 kJ.

genius_generous answered 2 years ago
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