A pump and a measured operating boundary

A fictional water-transfer exercise specifies density of one thousand kilograms per cubic meter, gravitational acceleration of nine point eight one meters per second squared, flow of zero point zero one cubic meters per second and total required head of twenty meters. Pump efficiency is zero point seven and motor efficiency zero point nine. The model ignores other losses outside those efficiencies and assumes steady incompressible flow. A colleague reports the hydraulic result as the required electrical input and proposes that any motor with the same number is adequate. The team must compute the distinct quantities and explain why real equipment selection needs more information. No actual pipe pressure rating, suction condition, protection requirement or approved operating point is provided.