An OTEC is to deliver 100MW to the busbar. Its warm water comes from a solar heated pond that is kept at 33C. The water exhausted from the heat exchanger is returned to this same pond at a temperature of 31 C. (There is a slight heat loss in the pipes.) To reestablish the operating temperature, the pond must absorb heat from the sun. Assume an average (day and night) insolation of 250W/m2 and an 80% absorption of solar energy by the water. Cold water is pumped from the nearby abyss at a temperature of 8C. Refer to the figure for further information on the temperatures involved. The warm water loses 1.84K in going through the heat exchanger, while the cold water has its temperature raised by 1.35K in its exchanger. Assume that 80% of the remaining temperature difference appears across the turbine and that the rest is equally distributed as temperature differentials between the colder side of the warm heat exchanger (whose secondary side acts as an evaporator) and the turbine inlet and between the warmer side of the cold heat exchanger (whose secondary side acts as a condenser) and the turbine outlet ( TET and TTC, in the figure). Internal power for pumping and other ends is 40 MW. The efficiency of the turbine-generator combination is 90%. Additionally, assume that the efficiency of conversion from thermal energy from the hot water to mechanical energy, matches the Carnot efficiency of an ideal engine operating between the turbine inlet and outlet temperatures. Estimate the rates of flow of warm and cold water. What is the required surface of the heating pond, assuming no evaporation? If the residence time of the water in the pond is 3 days, what depth must it have