GATE ME 2020 Set 1 — Question 61
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Thermodynamics → Power Cycles → Air & Gas Compressors
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Question
Air (ideal gas) enters a perfectly insulated compressor at a temperature of . The pressure ratio of the compressor is . Specific heat at constant pressure for air is and ratio of specific heats at constant pressure and constant volume is . Assume that specific heats of air are constant. If the isentropic efficiency of the compressor is percent, the difference in enthalpies of air between the exit and the inlet of the compressor is ______ kJ/kg (round off to nearest integer).
Correct answer
244 to 246
Solution
Given: , , , , .
Rounding to the nearest integer, we get .
1.Calculate isentropic exit temperature :
.2.Calculate isentropic enthalpy change :
.3.Calculate actual enthalpy change :
.Rounding to the nearest integer, we get .
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