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An adiabatic compressor takes in dry air at 370 K and 3 bar at a flow rate of 8 kg/s and specific cost of

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An adiabatic compressor takes in dry air at 370 K and 3 bar at a flow rate of 8 kg/s and specific cost of 19 UScents/kWh. The compressor has a pressure ratio of 5 and an isentropic efficiency of 81%. The cost of owning and operating this compressor is 85 USD/h, and the cost of electricity is 13 UScents/kWh. Consider the steady operation with variable specific heat, negligible kinetic and potential energy, and T = 300 K and P = 1 bar. Determine, (a) The power consumed of the compressor, in kW. (b) The exergy destruction in the compressor, in kW. (c) The exergetic efficiency of the compressor, in %. (d) The cost rate of compressed air at the compressor exit, in USD/h.

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