Water is to be pumped from a lake up to a pool. The pump power is 5 kW and the pump has an efficiency of 72%. The surface of the pool is 25 m above the surface of the lake. The friction pressure drop in the pipe system is 39.24 kPa. The density of water is 1000 kg / m³. The pressure over the lake and over the pool is atmospheric pressure.

1. Calculate the pumping work performed.

2. How big is the pressure difference across the pump, p_lift?

3. Calculate the volume flow.