Question
Download Solution PDFA single-acting, single-cylinder reciprocating air compressor is compressing 20 kg/min of air from 110 kPa and 300K to 660 kPa according to PV1.25 = Constant. Mechanical efficiency is 80%. What is the power input to the compressor? [R = 0.287 kJ/kg-K, (6)0.2=1.43, Neglect clearance, leakage and cooling]?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
We use the polytropic process equations and mechanical efficiency to determine the power input required for compressing air in a reciprocating compressor.
Given:
- Mass flow rate of air,
- Inlet pressure,
- Inlet temperature,
- Outlet pressure,
- Polytropic index,
- Gas constant,
- Mechanical efficiency,
- Given:
Step 1: Calculate the Polytropic Work Done
The work done per kg of air for a polytropic process is:
Substitute the values:
Step 2: Calculate the Indicated Power
The indicated power is the work done multiplied by the mass flow rate:
Step 3: Calculate the Power Input
The power input accounts for mechanical efficiency:
Last updated on Jul 1, 2025
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