A fluid with specific gravity of 0.8 is in a tank, at a pressure of 150 kPa, with a level maintained at 5 m above ground level.

The fluid leaves the tank through 4-in, schedule-40 pipe (frictional loss of 30 J/kg) at a mass flowrate of 6.5 kg/s and enters a pump at ground level. The pump power is 1.5 kW and is 70% efficient. The fluid leaving the pump flows through 3.5-in, schedule-40 pipe (frictional loss of 50 J/kg) to a “final” point in the pipe above the original tank level, where the pressure is 200 kPa.

Find the velocity at the final point in the pipe.

Determine the pressure at the pump inlet.

Determine the height above the ground of the final point in the pipe.