A power plant operates at steady-state. It receives energy from a hot source (combustion of fuel) at a temperature of 420 oC. The plant discharges this energy to a nearby river that acts as a cold source. Upstream of the power plant, the temperature of the river is 15 oC. The river flows at a rate of 200 m3/s. The net power produced by the power plant is 900 MW. Determine the increase in the temperature of the river, ΔT, traceable to the discharge heat, in oC, if the thermal efficiency of the power plant is the Carnot efficiency operating between 420 oC and 15 oC. You can assume the incompressible liquid model for water.