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Define displacement of compressor for two stage compressor...

Question: 

Define displacement of compressor for two stage compressor. Why is free air delivered less than displacement of compressor?

Answer: 

Displacement is the product of piston displacement and working stroke per minute is bared on low pressure only and the amount air passing through the other cylinder for two stage compressor. When free air wave from low pressure cylinder to high pressure cylinder through intercooler there is reduction of volume of air because of perfect cooling so free air delivered is less than displacement of compressor. ( Pl check)