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Niagara Falls has a flow of about 100,000 cubic feet per second over American an

ID: 1854948 • Letter: N

Question

Niagara Falls has a flow of about 100,000 cubic feet per second over American and Horseshoe Falls combined, with about 90% going over Horseshoe. Take American falls to have a 54 m drop and Horseshoe to have a 53 m drop. Do we expect water to be accumulating under the falls? Thus, what does the mass balance tell us about the mass flow rate, w, of the Niagara River upstream and downstream of the falls? The energy balance tells us that the falls are turning potential energy into thermal energy. Therefore, the water below the falls is warmed relative to the water at the top. Calculate the temperature increase of the water due to the drop in Kelvin and Fahrenheit given that the heat capacity of water is Cp = 4.18 j/g.k. (Hint - thermodynamics relates the temperature change to the power by P = wCpDeltaT.) Consider bituminous coal (heating value 28 MJ/kg, loose density 800 kg/m3). How many rail cars of coal would we need per day if we wanted to achieve the same temperature increase that the falls create, given that each hopper car can haul 100 short tons? How many tanker trucks of ethanol per day would be needed if each can haul 9000 gallons?

Explanation / Answer

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