The specifications for the water supply system of the Sears Tower in Chicago require that 100 gpm of water be pumped to a reservoir at the top of the tower, which is 340 m above street level. The city of Chicago supplies water at the street level to the Sears Tower at 400 kPa (gage), and the piping used in the system is made of galvanized steel. Find the minimum diameter Dmin required to keep the average velocity in the pipe < 3.5 m/s (you are expected to use a standard commercially available diameter of galvanized steel pipe!). Then find the pressure rise p1-p2 across the pump and the minimum power Wp required to drive the pump.