Performance data for a pump are

Estimate the delivery when the pump is used to move water between two open reservoirs through \(1200 \mathrm{ft}\) of 12-in.-diameter commercial steel pipe containing two \(90^{\circ}\) elbows and an open gate valve if the elevation increase is \(50 \mathrm{ft}\). Determine the gate valve loss coefficient needed to reduce the volume flow rate by half.

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H (ft) 179 176 165 145 119 84 43 Q (gpm) 0 500 1000 1500 2000 2500 3000