It is necessary to increase the capacity of an existing distillation column by \(25 \%\). As a consequence, the amount of liquid condensed in the condenser must increase by \(25 \%\). In this condenser, cooling water is available at \(30^{\circ} \mathrm{C}\) and, under present operating conditions, exits the condenser at \(45^{\circ} \mathrm{C}\), the maximum allowable return temperature without a financial penalty assessed to your process. Condensation takes place at \(75^{\circ} \mathrm{C}\). You can assume that the limiting resistance is on the cooling water side. Can the existing condenser handle the scale-up without incurring a financial penalty? What is the new outlet temperature of cooling water? By what factor must the cooling water flow change?