An adiabatic compressor, operating at STEADY-STATE, is used to compress an ideal gas stream from an entering condition of P=0.5 bar and T=300 K to an outlet pressure P=2 bar. If the gas has CP*=4R and the compressor is 80% efficient, find the ACTUAL work added (per mole of gas).
An adiabatic compressor, operating at STEADY-STATE, is used to compress an ideal gas stream from an entering condition of P=0.5 bar and T=300 K to an outlet pressure P=2 bar. If the gas has CP*=4R and the compressor is 80% efficient, find the ACTUAL work added (per mole of gas).
Apply the definition of efficiency for a compressor:
Where W ?_(s,reversible) is obtained by first modeling the compressor as reversible and applying an entropy balance around the compressor to calculate the exiting temperature of the ideal gas (Tout,reversible):
Where ??S is zero since the compressor is modeled as reversible:
Apply the change in enthalpy of an ideal gas equation to calculate Hout,rev:
Apply energy balance around the adiabatic reversible compressor to calculate W ?_(s,reversible)
Plug into efficiency equation:
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