Underground water is to be pumped by a 70% efficient 3-kW submerged pump to a pool whose free surface is 30 m above the underground water level. The diameter of the pipe is 5 cm on the intake side and 7 cm on the supply (pool) side.
Determine
a) the maximum volumetric flow rate of the water and
b) the pressure difference across the pump. Assume the elevation difference between the pump inlet and the pump outlet to be negligible.