A centrifugal pump is required to pump water to an open

A centrifugal pump is required to pump water to an open water tank situated 4 km away from the location of the pump through a pipe of diameter 0.2 m having Darcy's friction factor of 0.01. The average speed of water in the pipe is 2 m/s. If it is to maintain a constant head of 5 m in the tank, neglecting other minor losses, the absolute discharge pressure at the pump exit is

Given: d = 0.2 m, L = 4000 m
f = 0.01, v = 2 m/s
Head loss due to friction,

h_f =	fLv²	=	0.01 × 4000 × (2)²
	2gd		2 × 9.81 × 0.2

= 40.77 m
Pressure corresponding to this head
= ρg(h_f + h + h_atm)
= 1000 × 9.81(40.77 + 5 + 10.3)
= 5.50 × 105 N/m² = 5.50 bar