In a process that produces a temperature-sensitive product, the final step is to cool the product from \(70^{\circ} \mathrm{C}\) to \(35^{\circ} \mathrm{C}\) prior to sending it to storage. This cooling is achieved using cooling water that is available at \(30^{\circ} \mathrm{C}\) and exiting at \(40^{\circ} \mathrm{C}\). A shell-and-tube heat exchanger is used with cooling water in the tubes. The process-side resistance is dominant. It is desired to scale down this process. Answer the following questions:

a. If the flowrate of the process fluid decreases to \(70 \%\) of its design value, by how much must the cooling water flowrate change to maintain the desired exit temperature of the process fluid of \(35^{\circ} \mathrm{C}\) ?

b. What is the exit temperature of the cooling water for this case?