A heat pump is used to maintain a house at 22°C by extracting heat from the outside air on a day when the outside air temperature is 2°C. The house is estimated to lose heat at a rate of 110,000 kJ/h and the heat pump consumes 5 kW of electric power when running. Is this heat pump powerful enough to do the job?

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110,000 k/h 22°C HP 5 kW Outdoors 2°C