Consider the wintertime heating of a house with a furnace compared to addition of Carnot heat engines/pumps. To compensate for heat losses to the surroundings, the house is maintained at a constant temperature Thouse by a constant rate of heat transfer, . The furnace operates at a constant temperature TF, and with direct heat transfer, the heat required from the furnace,  is equal to . Instead of direct heat transfer, if we utilize the surroundings, at TS, as an additional heat source and include heat pump technology,  may be reduced by generating work from a heat engine operating between TF and TS, then applying that work energy to a heat pump operating between TS and Thouse. Given that TF = 800 K, T = 293 K, TS = 265 K, and  = 40 kJ/h, determine  utilizing heat pump technology. No other sources of energy may be used.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Consider the wintertime heating of a house with a furnace compared to addition of Carnot heat engines/pumps. To compensate for heat losses to the surroundings, the house is maintained at a constant temperature Thouse by a constant rate of heat transfer, . The furnace operates at a constant temperature TF, and with direct heat transfer, the heat required from the furnace,  is equal to .

Instead of direct heat transfer, if we utilize the surroundings, at TS, as an additional heat source and include heat pump technology,  may be reduced by generating work from a heat engine operating between TF and TS, then applying that work energy to a heat pump operating between TS and Thouse. Given that TF = 800 K, T = 293 K, TS = 265 K, and  = 40 kJ/h, determine  utilizing heat pump technology. No other sources of energy may be used.

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