Hand written solution required

In the figure shown, the horizontal duct has a roughness absolute equal to 0.25mm, with a diameter of 10cm and a length of 170m, which terminates in a converging, frictionless nozzle 6.0cm in diameter. If the water is at 35C [ u = 0.000720 kg/m-s; s=0.994] and is discharged at a reservoir whose upper level is 30 m below the surface of the water from the supply tank, determine the minimum power (in hp) that must consume the pump to drive the fluid, in such a way that the water that comes out of the nozzle passes to the lower tank. Do not consider the losses in the accessories of the pump, whose total efficiency is 75%. Use the Barr relation. \f