A centrifugal pump is tested as shown in Figure 6. The vacuum gauge on the suction side reads 250 mm of mercury (S = 13.6) and the pressure gauge on the delivery side reads 220 kPa; the delivery gauge is 0.5 m above the suction gauge. The pump delivers 30 L/s of water at 1450 rpm and the shaft power is 12 kW. Determine (a) the manometric head of the pump (in m), (b) the overall efficiency of the pump (in %), and (c) the specific speed of the pump (N_{s} = N√Q/H_{m}^{3/4}, with N in rpm, Q in m³/s, H_{m} in m).