Acarnot heat pump is to be used to heat a house and maintain it at 25°c in winter. on a day when the average outdoor temperature remains at about 2°c, the house is estimated to lose heat at a rate of 55,000 kj/h. if the heat pump consumes 4.8 kw of power while operating, determine (a) how long the heat pump ran on that day; (b) the total heating costs, assuming an average price of $0.11/kwh for electricity; and (c) the heating cost for the same day if resistance heating is used instead of a heat pump.