A nuclear power plant produces 1000 megawatts of electricity with a power cycle thermodynamic efficiency of \(30 \%\). The heat rejected is removed by cooling water that enters the condenser at \(293 \mathrm{~K}\) and is heated to \(313 \mathrm{~K}\). The hot water flows to two identical natural-draft cooling towers where it is recooled to \(293 \mathrm{~K}\), and make-up water is added as necessary. The available air is at \(298 \mathrm{~K}\) with a wet-bulb temperature of \(285 \mathrm{~K}\), and it will flow at a rate 1.2 times the minimum. A specialized packing will be used for which \(K_{Y} a\) is expected to be \(1.0 \mathrm{~kg} / \mathrm{m}^{3} \cdot \mathrm{s}\) if the liquid mass velocity is at least \(3.4 \mathrm{~kg} / \mathrm{m}^{2} \cdot \mathrm{s}\), and the gas mass velocity is at least \(2.75 \mathrm{~kg} /\) \(\mathrm{m}^{2} \cdot \mathrm{s}\). Compute the dimensions of the packed sections of the cooling towers, and the make-up water requirement due to evaporation.