80 percent of the mass flow rate of water, m in the Pipe I is discharged through the Pipe II while 20 percent of the mass flow rate of the water is discharged through Pipe III with use of a pump which has 10 kW power (the power delivered to the water in the pipe system) as shown in Figure 1. The friction factor, f is the same for all three pipes and the absolute pressure at point A is PA= 70 kPa. By considering the fact that all minor local losses are negligible find a) The friction factor, f for the pipes. b) The mass flow rate in Pipe I, m c) The pressure at the junction K (The lengths of the pipes: L= 20 m, L= 150 m, L= 2556 m and the diameters of the pipes: dA=d=d = d = 0.25 m. The elevation difference: ZK-Z = 20 m) = (-/-) ( Pv), The power delivered to the fluid: W=pgQhs = m gh, where h (() The density of the water is 1000 2g The pressure drop, 4P=f is the shaft power. The major head loss in the pipe h, = f kg/m. Patm = 101300 Pa. Hint: The velocity at junction is zero. The pump is placed between A and K. C III 0.2m K II B 0.8m A Tm Figure 1