A passive solar house that is losing heat to the outdoors

Chapter 4, Problem 121P

(choose chapter or problem)

A passive solar house that is losing heat to the outdoors at an average rate of \(50,000 \mathrm{~kJ} / \mathrm{h}\) is maintained at \(22^{\circ} \mathrm{C}\) at all times during a winter night for \(10 \mathrm{~h}\). The house is to be heated by 50 glass containers each containing \(20 \mathrm{~L}\) of water that is heated to \(80^{\circ} \mathrm{C}\) during the day by absorbing solar energy. \(\mathrm{A}\) thermostat-controlled \(15-\mathrm{kW}\) back-up electric resistance heater turns on whenever necessary to keep the house at \(22^{\circ} \mathrm{C}\). (a) How long did the electric heating system run that night? (b) How long would the electric heater run that night if the house incorporated no solar heating?

Equation Transcription:

22°C

80°C

Text Transcription:

50,000 kJ/h

22 degree celsius

20 L

80 degree celsius

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