Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater...

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Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water pipe heats the water from 16 to 43°C. Taking the density of water to be 1 kg/L, determine the electric power input to the heater, in kW. In an effort to conserve energy, it is proposed to pass the drained warm water at a temperature of 39°C through a heat exchanger to preheat the incoming cold water. If the heat exchanger has an effectiveness of 0.50 (that is, it recovers only half of the energy that can possibly be transferred from the drained water to incoming cold water), determine the electric power input required in this case. If the price of the electric energy is 8.5 ¢/kWh, determine how much money is saved during a 10-min shower as a result of installing this heat exchanger.

FIGURE P5–185

David · Accepted Answer

Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water 
pipe heats the water from 16 to 43°C. Taking the density of water to be 1 kg/L, determine the electric power input to 
the heater, in kW. In an effort to conserve energy, it is proposed to pass the drained warm water at a temperature of 
39°C through a heat exchanger to preheat the incoming cold water. If the heat exchanger has an effectiveness of 0.

Water flows through a shower head steadily at a rate of 10 L/min. An electric resistance heater placed in the water pipe heats the water from 16 to 43°C. Taking the density of water to be 1 kg/L,...

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