Question: 1. Consider an air compressor that is driven by a steam turbine to supply air to an industrial operation. The total work output of

1. Consider an air compressor that is driven by a steam turbine

1. Consider an air compressor that is driven by a steam turbine to supply air to an industrial operation. The total work output of the turbine is used to drive the compressor with no losses. Assume both the compressor and the turbine to be reversible and adiabatic. kJ kgK kJ kgK For Ideal Gas hair = CpT and Uair = CT Steam enters the turbine at a flow rate of 10 kg/s at P = 10MPa and 400 C and exits at P = 100 kPa. Likewise, atmospheric air enters the compressor at P3 = 100 kPa ; 20 C and is compressed eight times to leave at P4 = 800 kPa. Note: STEAM is NOT ideal gas! a. What is the work output of the turbine? (kW) b. What is the temperature of the air coming out of the compressor ? (C or K) C. Find the mass flow rate of air through the compressor that can be achieved by this turbine? (kg/s) d. What is the "volumetric" flow rate of air at the "inlet" of the compressor? (m/s) Rair= 0.287- i Cp 1.0. kJ kgk ; C = 0.718- Air compressor 3 ; k = 1.4; if s = const. Wc = -Wt ) = (k-1) k ()* Steam turbine = 2 k-1

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