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Part 1 Review: Question 3 (20 points, 30 min) Water is pumped though the system bellow using a 6 hp pump, Pipe 1 is from exit Q, to point a and pipe 2 is from exit Q2 to point a The pipe cross-section area A1 = 0.04 f?, pipe cross section area A2 = 0.03 ft; and gauge pressure p = 10 psig, p2 = 15 psig. The diameter for the pipe exiting the pump, pipe a, is D.-4.0 in and the total volumetric flow rate Q. = 1.0 ft/s. Assume the flow in the pipes is incompressible and frictionless in pipe 2 and pipe a, while the flow in pipe 1 has a head loss of 0.7778. Ignore all minor losses. 2.9 APO a) Write an expression for the pump head. b) Write an expression for the flow in pipe 1. c) Calculate the velocity in pipe l. d) What is the efficiency of the pump? e) How will the pump efficiency change if we consider the reality of friction and fittings in all the pipes? 15 hamp Not to scale