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A single stage, single acting air compressor

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A single stage, single acting air compressor running at 1000 rev/min delivers air at 25 bar. Please see attached file for further description.

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The expert examines a single stage and a single acting air compressor.

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(a) The thermodynamic process of compression is illustrated in the figure below:

The swept volume is given by
( 1)
where the clearance volume is given as
( 2)
so that, replacing in (1), one derives:
( 3)
The process of the expansion 3-4 is a polytropic one, so that it is described by the equation:
( 4)
where n = polytropic index, the same for compression and expansion.
Since , and the expansion index n=1.3, it follows that
...

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