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A house is at 26 ∘C on a winter night when the outside temperature is a...

A house is at 26 ∘C on a winter night when the outside temperature is a steady -14 ∘C . The house’s heat capacity is 6.6 MJ/K and its thermal resistance is 6.57 mK/W . If the furnace suddenly fails, how long will it take the house temperature to reach the freezing point? (Hint: Combine the differential forms of equations ΔQ=cmΔT and H=−kAΔTΔx to show that the rate of temperature change is proportional to the temperature difference between the house and its surroundings. This relation is known as Newton's law of cooling.) Answer in hours. Thanks

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