A woman decides to build a log cabin at the base of a tall mountain and is looking at the feasibility of tapping into a snow melt fed lake that is about 500 ft above her cabin for her water supply....

A woman decides to build a log cabin at the base of a tall mountain and is looking at the feasibility of tapping into a snow melt fed lake that is about 500 ft above her cabin for her water supply. The plan is to install a small pipeline that runs from the lake into a water storage tank that will then provide water as needed to her cabin, which is located nearby. The change in elevation from the surface of the lake to where the water would empty into the storage tank is 475 ft. The plan is to use a 1.25 in. inside diameter pipe that would have an overall length of 600 ft. Included in the piping circuit is a priming pump (which only runs to get the water flowing, sort of like a siphon) with a Kpump = 1.5 and there are also 8–90° elbows (Kelbow = 1.0). When the water is flowing, what is the flow rate of the water in gallons per minute as it exits the pipe into the top of the storage tank? Assume that the water exiting the pipe is not submerged in the water. Also assume that the tank is vented to the atmosphere. You can also neglect the difference in barometric pressure between the lake and the cabin. The water is at 41°F and its viscosity and density at this temperature are, respectively, 1.519 cP and 1000 kg m⁻³.