Water is pumped from a lake at \(z=0\) to a large storage tank located on a bluff above the lake. The pipe is 3-in.-diameter galvanized iron. The inlet section between the lake and the pump includes one rounded inlet, one standard \(90^{\circ}\) elbow, and \(50 \mathrm{ft}\) of pipe. The discharge section between the pump outlet and the discharge to the open tank includes two standard \(90^{\circ}\) elbows, one gate valve, and \(150 \mathrm{ft}\) of pipe. The pipe discharge into the side of the tank is at \(z=70 \mathrm{ft}\). Calculate the system flow curve. Estimate the system operating point. Determine the power input to the pump if its efficiency at the operating point is 80 percent. Sketch the system curve when the water level in the upper tank reaches \(z=90 \mathrm{ft}\). If the water level in the upper tank is at \(z=75 \mathrm{ft}\) and the valve is partially closed to reduce the flow rate to \(0.1 \mathrm{ft}^{3} / \mathrm{s}\), sketch the system curve for this operating condition. Would you expect the pump efficiency to be higher for the first or second operating condition? Why?