A pipeline is 8 km long and is required to convey water from a reservoir, at 500 m above datum, to the intake of a water treatment works at 425 m above datum. If the pipe has a diameter of 225 mm, what is the discharge of water through the pipe? The density of water is 1000 kg/m3. relevant equations: bernoullis Energy Conservation: P1/ρg + u1^2/2g + z1 = p2/ρg + u2^2/2g + z2 mass conservation equation: U1A1 = U2A2 Q1 = Q2 3. The attempt at a solution U1 = 0 Since the resovoir is stationary, p1 = ρgh p2 = ρgh putting values in to bernoullis: 4905000/9810 + 500 = 4169250/9810 + u2^2/19.62 + 425 150 = u2^2/19.62 u2^2 = 2943 √2943 = 54.24 m/s at this point the answer should be: 38.36 m/s and the final answer should be: Q = 1.525m^3/s i am completely lost, any help would be massively appreciated!