A heat engine, operating between two reservoirs at 1500 K and 300 K, produces an output of

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A heat engine, operating between two reservoirs at 1500 K and 300 K, produces an output of 100 MW. If the thermal efficiency of the engine is measured at 50%, determine
(a) The Carnot efficiency of the engine (in percent),
(b) The rate of heat transfer into the engine from the hot source in MW,
(c) The rate of fuel consumption (in kg/s) if the heating value of fuel is 40 MJ/kg.
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