A centrifugal pump which runs at 104.3 rad ·s^−1 (16.6 rev/s) is mounted so that its centre is 2.4 m above the water level in the suction sump. It delivers water to a point 19 m above its centre. For a flow rate of Q (m³ ·s^−1) the friction loss in the suction pipe is 68Q2 m and that in the delivery pipe is 650Q2 m. The impeller of the pump is 350 mm diameter and the width of the blade passages at outlet is 18 mm. The blades themselves occupy 5% of the circumference and are backward-facing at 35â—¦ to the tangent. At inlet the flow is radial and the radial component of velocity remains unchanged through the impeller. Assuming that 50% of the velocity head of the water leaving the impeller is converted to pressure head in the volute, and that friction and other losses in the pump, the velocity heads in the suction and delivery pipes and whirl slip are all negligible, calculate the rate of flow and the manometric efficiency of the pump.