The condensers of a \(300 \mathrm{MW}\) power plant operating at a thermal efficiency of \(35 \%\) are to be cooled by the water from a nearby pond. The intake water is available at \(22{ }^{\circ} \mathrm{C}\). The temperature of the water discharged back into the lake must be less than \(30^{\circ} \mathrm{C}\). Quantify the design problem for the cooling system.