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A Carnot heat engine operates between temperature levels of 600 K and 300 K with 8 MW heat transferred in the boiler. It drives a compressor, which compresses steam from 200 kPa, 200°C to 1 MPa, 500°C. If mass flow rate of the steam is 5 kg/s. determine the following:
(a) The power output of the heat engine (kW).
(b) The power input of the compressor (kW).
(c) The efficiency of the compressor.