A heat engine, operating between two reservoirs at 1500 K and 300 K, produces 150 kW of net power. If the rate of heat transfer from the hot reservoir to the engine is measured at 350 kW, determine
(a) The thermal efficiency of the engine,
(b) The rate of fuel consumption in kg/h to maintain the hot reservoir at steady state (assume the heating value of the fuel to be 45 MJ/kg),
(c) The minimum possible fuel consumption rate (in kg/h) for the same output.