Water at 20C ( = 62.39 , = 6.73310 ) is delivered to a tank by a piping system designed to allow a computer to easily switch between a handful of different flowrates. The plastic pipe carrying the water splits into two branches, which then rejoin just before the water is vented to the atmosphere. The top branch (Branch 1) has a length of 5 feet and a diameter of 2 inches, while the bottom branch (Branch 2) has a length of 6 ft and a diameter of 4 inches. Each branch is fitted with two threaded 90 bends and a gate valve which the computer can set to either closed, half-closed, or fully open. The pressure at the point where the two branches split is maintained at 20 psig, and minor losses other than those associated with the branch bends and valves can be neglected.

Find the total flowrate for every combination of possible positions for Valve 1 and Valve 2 (there are eight possible combinations). Give your answer in gallons per minute.

(25 pts) Water at 20C(=62.39lbm/ft3,=6.733104lbm/fts) is delivered to a tank by a piping system designed to allow a computer to easily switch between a handful of different flowrates. The plastic pipe carrying the water splits into two branches, which then rejoin just before the water is vented to the atmosphere. The top branch (Branch 1) has a length of 5 feet and a diameter of 2 inches, while the bottom branch (Branch 2) has a length of 6ft and a diameter of 4 inches. Each branch is fitted with two threaded 90 bends and a gate valve which the computer can set to either closed, half-closed, or fully open. The pressure at the point where the two branches split is maintained at 20 psig, and minor losses other than those associated with the branch bends and valves can be neglected. Find the total flowrate for every combination of possible positions for Valve 1 and Valve 2 (there are eight possible combinations). Give your answer in gallons per minute