A heat exchange system is needed to cool \(60,000 \mathrm{lb} / \mathrm{hr}\) of acetone at \(250^{\circ} \mathrm{F}\) and 150 psia to \(100^{\circ} \mathrm{F}\). The cooling can be achieved by exchanging heat with \(185,000 \mathrm{lb} / \mathrm{hr}\) of acetic acid, which is available at \(90^{\circ} \mathrm{F}\) and \(75 \mathrm{psia}\), and needs to be heated. Four 1-2 shell-and-tube heat exchangers are available. Each has an inside shell diameter of 21.25 in. and contains 270-3/4-in.-O.D., 14 BWG, 16-ft-long carbon steel tubes in a square layout on a 1 -in. pitch. Segmental baffles with a \(25 \%\) baffle cut are spaced \(5 \mathrm{in}\). apart. Determine whether one or more of these exchangers can accomplish the task. Note that if two, three, or four of the exchangers are connected in series, they will be equivalent to one 2-4, 3-6, or 4-8 exchanger, respectively. If the exchangers are not adequate, design a new exchanger or exchanger system that is adequate. Assume a combined fouling factor of \(0.004\left(\mathrm{hr}-\mathrm{ft}^{2}-{ }^{\circ} \mathrm{F}\right) / \mathrm{Btu}\).