You have to design a cooling tower for heat rejection from a power plant. The rate of heat rejection to a single tower is given as \(100 \mathrm{MW}\). Ambient air at temperature of \(25^{\circ} \mathrm{C}\) and relative humidity of 0.8 is to be used for removal of heat from the hot water coming from the condensers of the power plant. The temperature of the hot water is \(15^{\circ} \mathrm{C}\) above the ambient temperature. Give the formulation of the design problem in terms of the fixed quantities, requirements, constraints and the design variables.