There are four different parts to this question. A. How much energy might you lo

Question

There are four different parts to this question. A. How much energy might you loose in one week? B. Electric heat can be 100% efficient. At 10 cents per kilowatt-hour how much would it cost to heat your house for one week under such cold conditions? C. For an air conditioner used as a heat pump, the coefficient of performance can be as high as the inverse of the Carnot efficiency which is run between the temperature inside (27 C) and the temperature outside (-20 C). How much would it cost to heat your house for one week using such a heat pump? (note that a real air conditionier usually has a COP which is half that for a Carnot cycle) D. An even more efficient system is a geothermal air conditioner, where the heat pump runs between the inside temperature (27 C) and pipes which are buried underground below the frost line where the temperature is always 59 F or 15 C. How much would it cost to heat your house for one weak using such a geothermal system?

Explanation / Answer

a) WEEK = 7*24*60*60 SECONDS HEAT LOST = POWER * TIME = 3780*7*24*60*60 = 2286.144 * 10^6 J b) 10 CENTS PER 1000 * 60* 60 J SO FOR 2286.144 * 10^6 J ; 2286.144 * 10^6 J * 10 CENTS / 1000 *60 *60 = 6350.4 CENTS = $63.5

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