A proposal has been made to construct a thermoelectric power plant with a capacity of $800$ MW $,$ utilizing steam as the working fluid. The plant's condensers will be cooled using water from a nearby river $($refer to the accompanying figure$).$ The maximum steam temperature will be $500C,$ and the condensation temperature is set at $45C.$ As an engineering consultant, you are tasked with estimating the temperature increase in the river water between the upstream and downstream sections of the plant. The river's total volumetric flow is $200,000\frac{m^3}{h}.$ What is your estimate?

$-$Consider $=1000k\frac{g}{m^3}$