A pump is located between two reaches of horizontal piping. The conditions upstream of the pump are D1 ¼ 75 mm and p1 ¼ 450 kPa, and downstream of the pump D2 ¼ 100 mm and p2 ¼ 900 kPa. For a discharge of Q ¼ 100 L=min and a loss across the pump of hL ¼ 7 m, what is the required input power of the pump if its ef?ciency is 78%?