A heat engine operates between a reservoir at 2000 K and an ambient temperature of 300 K.

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A heat engine operates between a reservoir at 2000 K and an ambient temperature of 300 K. It produces 10 MW of shaft power. If it has a thermal efficiency (ηth) of 40%,
(a) Determine the rate of fuel consumption in kg/h if the heating value of the fuel is 40 MJ/kg.
(b) If the heat engine is replaced by the most efficient engine possible, what is the minimum possible fuel consumption rate for the same power output?
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