A small-steam condenser is designed to condense \(1 \mathrm{~kg} / \mathrm{min}\) of steam at \(90 \mathrm{kPa}\) with cooling water at \(10^{\circ} \mathrm{C}\). The exit water is not to exceed \(60^{\circ} \mathrm{C}\). The overall heat transfer coefficient for the exchanger is \(3400 \mathrm{~W} / \mathrm{m}^{2} . T_{\text {sat }}=95.6^{\circ} \mathrm{C} . h_{f g}=2.27 \times 10^{6} \mathrm{~J} / \mathrm{kg}\).

a. Calculate the area required for a counterflow, double-pipe heat exchanger, and the cooling water flow rate.

b. Calculate the area required for a parallel flow, double-pipe heat exchanger.