Q2. A two-stage, single acting reciprocating compressor has a clearance volume of 4.5% of the swept volume in each stage. It is used to compress methane (CH4).
The initial pressure and temperature are 0.95 bar and 25℃ respectively and the maximum temperature of the methane must be limited to 150℃.
The polytropic index for each compression and expansion process process is 1.3 and inter-cooling is perfect.
(a) Sketch the process on a Pressure-Volume diagram indicating the work saved by inter- cooling. (2)
(b) Calculate EACH of the following:
(i) the interstage and delivery pressures; (2)
(ii) the volumetric efficiency of each stage; (2)
(iii) the specific work input; (4)
(iv) the isothemal efficiency. (6)
Note: Relative atomic masses H = 1, C = 12
The universal gas constant = 8.3145 kJ/kmolK
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