A Carnot heat engine receives heat from a reservoir at 900C at a rate of 800 kJ/min and rejects the waste heat to the ambient air at 27C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5C and transfers it to the same ambient air at 27C. Determine (a) the maximum rate of heat removal from the refrigerated space and (b) the total rate of heat rejection to the ambient air.