Question

Water of density $1000 kg/m³$ is pumped at a volumetric flow rate of $3.14 \times 10⁻² m³/s,$ through a pipe of inner diameter 10 cm and length 100 m, from a large Reservoir 1 to another large Reservoir 2 at a height 50 m above Reservoir 1, as shown in the figure. The flow in the pipe is in the turbulent regime with a Darcy friction factor f = 0.06, and a kinetic energy correction factor $α = 1.$ Take g $= 9.8 m/s².$ If all minor losses are negligible, and the pump efficiency is 100%, the pump power, in kW, rounded off to 2 decimal places, is ______

Official answer: 30.4 to 30.5