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(3) Filling a 15-gallon tank with gasoline of a density of 800 kg/m on average takes 4 minutes. If the heating value of the
(3) Filling a 15-gallon tank with gasoline of a density of 800 kg/m on average takes 4 minutes. If the heating value of the gasoline (the amount of heat released by burning 1 kg of gasoline) is 45 MJ/kg, calculate the energy flowrate into the tank in the unit of MJ/min. Now state-of-the-art superchargers can do fast charging of electrical vehicles at a power of 250 KW. Assuming that the efficiency of a gasoline vehicle is 40% (40% of heat is converted to mechanical work) and assuming that the efficiency of an electrical car is 90% (90% of charged electricity is converted to mechanical work), estimate the time (in minutes) required to charge an electrical vehicle that can output the same amount of mechanical work as 15-gallon gasoline. (10 points)
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