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5.4 Heating with Fuel II In a fuel based economy you identify the following two possibilities for heating a home: a) A furnace in

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5.4 Heating with Fuel II In a fuel based economy you identify the following two possibilities for heating a home: a) A furnace in the basement, with a fuel-to-heat effectiveness of nfurnace = 88%. b) Generation of electricity in a power plant with fuel-to-power efficiency 7th, transmission of electricity to your home with a loss of 7%, and then heating with an electrically powered heat pump that has average COP of 3.2. What value must the thermal efficiency of the power plant have at least, so that the second choice requires less fuel than the first? Provide your answer based on a clear argument using figures, equations, and words.

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