THERMODYNAMIC

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Problem 3 - Power consumption to heat a house You have been tasked with proposing which of the three air-conditioning possible systems listed below should be used to maintain the indoor temperature of a house at 20C while resulting in a daily lower operating cost when the outdoor temperature is -2C. Based on the construction of the house you estimate that under the given indoor and outdoor temperatures the rate of heat loss to the surroundings is 17 kJ/s. Which system would you recommend as a feasible alternative? Support your answer for each one of the cases below with convincing computations that show which one of the systems is requires the minimum electrical power while being in compliance with the first and second law of thermodynamics. a. Electrical heating b. A heat pump with COP = 3.0 c. A heat pump with COP = 14.0