Steam is desired to cool by water in a condenser. Steam enters the condenser at \(50 \mathrm{kPa}\) and \(50^{\circ} \mathrm{C}\) with a flow rate of \(10 \mathrm{~kg} / \mathrm{min}\) and leaves at \(30^{\circ} \mathrm{C}\). The cooling water flows inside the tubes at \(15 \mathrm{kPa}\) and \(15^{\circ} \mathrm{C}\) and leaves at \(25^{\circ} \mathrm{C}\). Determine

(a) the mass flow rate of cooling water required and

(b) the heat transfer rate in the condenser.