To design a chiller to cool a piece of equipment in lab. A chiller is a heat engine in reverse; mechanical work is input into the chiller to drive heat flow against a temperature gradient, from low temperature to high temperature. Heat is removed from the equipment using a recirculating flow of water ( “ Recirculating Cooling Loop ” ) , which transfers heat from the equipment to the chiller. This recirculating flow must remove 1 0 0 0 W of heat from the equipment. It leaves the chiller ( and enters the equipment ) at 2 \ deg C and cannot exceed a maximum temperature of 1 0 \ deg C . Building cooling water at 2 5 \ deg C and a flow rate of 1 L / s is available to remove heat from the chiller. Both the cooling water and the recirculating water have a density of 9 9 5 kg / m 3 and a heat capacity of 4 . 1 8 4 J / g K . Calculate the minimum power required in the chiller to remove this heat from the equipment.