You are asked to size a pump for installation in the water supply system of the Willis Tower (formerly the Sears Tower) in Chicago. The system requires \(100 \mathrm{gpm}\) of water pumped to a reservoir at the top of the tower \(340 \mathrm{~m}\) above the street. City water pressure at the street-level pump inlet is \(400 \mathrm{kPa}\) gage. Piping is to be commercial steel. Determine the minimum diameter required to keep the average water velocity below \(3.5 \mathrm{~m} / \mathrm{s}\) in the pipe. Calculate the pressure rise required across the pump. Estimate the minimum power needed to drive the pump.