4) (20 pts) A hotel in the southern Alberta installed a \"hot poo\" to simulate

Question

4) (20 pts) A hotel in the southern Alberta installed a "hot poo" to simulate a hot spring for its guests. The hotel tried to keep the temperature of the 30m*10m1.2 50C pool at 45°C using an electrical heating element, but the element kept failing. In one occasion, when the temperature of the surroundings was 5°C, the heating element failed and the temperature of the pool drop from 45°C to 43°C in 1 ho. v The hotel plans to replace the heating element with a stream of hot water at 50°C that would be fed to the pool to keep the pool at 45°C. To maintain the volume of 45°O water in the pool, a stream of water with the same flow rate as that of the 50Cposurroun water will be withdrawn from the pool. Assuming that the pool behaves as a well mixed tank temperature of the pool at 45°C when the temperature of the surroundings is-1°C. Neglect the evaporation of water from the poo. Indicate any other important assumptions water dings water

Explanation / Answer

formula for rate of heat transfer dQ/dt = k*A*deltaT/t   t thickness, A area, k water is 0.53 W/m k

                   = 0.53*30*10*5/1.2
                   = 662.5 W

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