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Statement for Linked Answer Questions 54 and 55: In a simple Brayton cycle, the pressure ratio is 8 and temperatures at the entrance of compressor and turbine are 300 K and 1400 K, respectively. Both compressor and gas turbine have isentropic efficiencies equal to 0.8. For the gas, assume a constant value of specific heat at constant pressure (cp) equal to 1 kJ/kgK and ratio of specific heats as 1.4. Neglect changes in kinetic and potential energies. Q.54 The power required by the compressor in kW/kg of gas flow rate is
- 194.7
- 243.4
- 304.3
- 378.5
Correct answer: 304.3
Solution
T2s = 300*8^(0.4/1.4) = 300*1.811 = 543.4 K, so ideal work = 1*(543.4-300) = 243.4 kJ/kg. Actual compressor work = 243.4/0.8 = 304.3 kW per kg/s, which is the third option.
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