Water is to be transferred at a rate of 500 gpm from a cooling lake through a 6 in. diameter sch 40 pipeline to an open tank in a plant that is 30 mi from the lake. (a) If the transfer pump is 70%...

Water is to be transferred at a rate of 500 gpm from a cooling lake through a 6 in. diameter sch 40 pipeline to an open tank in a plant that is 30 mi from the lake.

(a) If the transfer pump is 70% efficient, what horsepower motor is required to drive the pump?

(b) An injection station is installed at the lake that injects a high polymer into the pipeline, to give a solution of 50 ppm concentration with the following properties: a low shear limiting viscosity of 80cP, a flow index of 0.5, and a transition point from low shear Newtonian to shear thinning behavior at a shear rate of 10 s1 . What horsepower is now required to drive the same pump, to achieve the same flow rate?