A heat pump with a cop of 2.4 is used to heat a house. when running, the heat pump consumes 8 kW of electric power. If the house is losing heat outside at an average rate of 40,000 KJ/hr and the temperature of the house is 3°C when the heat pump is turned on, determine how long it will take for the temperature to rise to 22°C. (in minutes) Assume the house is well sealed and take the entire mass within the house equivalent to 2000 kg of air. [upto 2 decimal places]