Suppose that water is to be pumped upward at a volume flow rate Q from one reservoir to another, as in Fig. P12.5. The difference in the water levels is nearly constant at H. The connection is a steel pipe of diameter D and total length L that has four 90° bends. The depths at its inlet and outlet are d₁ and d₂, respectively. Find the pump power (in kW) that would be required if Q = 0.13 m³/s, H = 10 m, D = 0.40 m, L = 1000 m, d₁ = 5 m, and d₂ = 4 m.

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H Id₂ Reservoir 1 P D 1d₂ Reservoir 2 Figure P12.5 Pumping from a lower reservoir to a higher one.