You have been asked to determine the power for a pump to deliver water (rwater = 62.4 lbm/ft³) over a hill that is 2500 ft high at its peak to a holding tank on the other side as shown below. The pipe outlet on the outlet side of the hill is a few feet below the peak of the hill, but that distance is unknown. The pipe is 6 in in diameter (inside) and is the same diameter on both sides of the pump. The pressure of the water entering the pump inlet pipe is atmospheric pressure (0 psig).

a. Draw a qualitative graph to show how the pressure of the fluid changes as it flows from the pump inlet to the point where it enters the tank.
b. If friction is neglected, where is the point of lowest pressure between the pump and the tank?
c. To avoid boiling (cavitation) in the pipe, the system has been designed so that the lowest pressure in the pipe is just at (but not below) the vapor pressure of the water (which is 17 mm Hg absolute). How much power must the pump deliver to the water in order to pump 150 gal/min over the hill? You may neglect friction for this calculation. If the pump efficiency is 78% and the cost of electrical power is $0.12 per kW-hr (i.e., $0.12 per 1000 W per hour of usage), how much will it cost to deliver the specified amount of water?