Water is pumped at the rate of \(0.075 \mathrm{~m}^{3} / \mathrm{s}\) from a reservoir \(20 \mathrm{~m}\) above a pump to a free discharge \(35 \mathrm{~m}\) above the pump. The pressure on the intake side of the pump is \(150 \mathrm{kPa}\) and the pressure on the discharge side is \(450 \mathrm{kPa}\). All pipes are commercial steel of \(15 \mathrm{~cm}\) diameter. Determine

(a) the head supplied by the pump and

(b) the total head loss between the pump and point of free discharge.

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4 D = 15 cm (Elbows are flanged) Free discharge 24=35 m = 20m P3 = 450 kPa P2 = 150 kPa P8.69