2) A single-stage, single acting, reciprocating air compressor has a bore of 200 mm and a stroke of 300 mm. It runs at a speed of 500 rev/min. The clearance volume is 5% of the swept volume and the polytropic index is 1.3. Intake pressure and temperature are 97 kPa and 20°C respectively, and the discharge pressure is 550 kPa. The compressor is used to fill a rigid tank with a volume of 12.7 m³ from an initial pressure of 250 kPa to a final pressure of 550 kPa. Determine: a) The intake air rate (4.05 m³/min) b) The volumetric efficiency (86.0%) c) The air delivery temperature (164.3°C) d) The air power (14.0 kW) e) The time to fill the air receiver (9.69 min)*
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Substituting the given values, we get Vs = π/4 * (0.2 m)² * 0.3 m * 500 rev/min = 4.71 m³/min. However, due to the clearance volume, the actual intake volume (Va) is less than the swept volume. The intake volume can be calculated using the formula Va = Vs * (1 - Show more…
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