A heat engine operates between two reservoirs at 800 and 20°C. One-half of the work
output of the heat engine is used to drive a Carnot heat pump that removes heat from the cold
surroundings at 2°C and transfers it to a house maintained at 22°C. If the house is losing heat
at a rate of 95,000 kJ/h, determine the minimum rate of heat supply to the heat engine
required to keep the house at 22°C.