The power required for any fluid mover is the volumetric flowrate multiplied by the pressure rise divided by the efficiency.
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Pump HP = {(Specific gravity of the fluid being pumped x Head x Flow rate)
/ (K x Efficiency of the pump)
The constant 'K' depnds upon the units of flow rate, head & specific gravity.
From this you can cross check the power required for doing the required pumping work. Divide this by the motor efficiency, that will give you the motor HP.