Problem 1 Water needs to be transferred from one reservoir to another at a rate of 600 gpm. A schematic of the pipe system is shown. The static lift is 20 ft. All elbows have the same K₁ value. The suction pipe (upstream of the pump) is a total of 50 ft long with a diameter of 8 inches and the discharge pipe is a total of 450 ft long with a diameter of 6 inches. Use CH = 130. The centerline of the pump inlet is 7.2 ft above the lower reservoir water surface. The reservoirs are located near sea level. Water temperature is 50°F. HKL valve Pump = 5.0 KL₂ ent = 0.8 KL elbow = 1.5 exit (a) Determine the equation for the system curve. Simplify it as much as possible so it is in terms of only hp and Q. (b) Print out the next page. Draw the system curve on BOTH pump curves and determine which pump should be purchased (which graph and which impeller size). Submit your annotated printout with your assignment. Also submit supporting calculations. The system curves should be drawn using at least five points, including one located at Q = 0. [Hint: use a spreadsheet to calculate values of hp for a range of Q values] (c) Why did you pick the pump you picked? (d) Identify the operating point (Q and hp that will be delivered if the selected pump is installed and no changes are made to the system). (e) What size motor (horsepower rating) would you buy for this pump? Explain your work. (f) Determine the NPSHA. Will this installation be possible without damaging the pump impeller? Explain. If the elevation of the pump needs to be changed, explain where it should be relocated - assuming numbers of elbows and lengths of pipe segments do not change. (g) How would your answer to (e) change if the reservoir was located near Denver, at elevation 6000 ft above sea level? (h) How would your answer to (e) change if the water temperature was 100°F instead?