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(b) Two large water reservoirs with a water level difference of 12 m are joined together with two pipes connected in series so that water flows from the upper reservoir to the lower one. The pipe exiting the upper reservoir is 200 mm in diameter, 300 m long, and has a friction factor of 0.024. The other pipe that enters the lower reservoir is 100 mm diameter, 100 m long and has a friction factor of 0.032. Taking into account all the shock losses (i.e. sudden entrance, contraction, and sudden exit) and losses due to friction, (i) Calculate the flow rate between the reservoirs using the K values given in the following table, and also, (ii) Evaluate all losses (i.e. due to pipes friction and fittings) for the given system. Show all your workings. Typical K values Feature K Value Feature 45° Elbow 0.3 Sudden enlargement in pipe 1 Note: K(V1-V2)2/2g 90 elbow Sudden entrance (Tank to pipe) 0.5 0.6 906 bend large 0.3 radius Sudden exit (from pipe to tank) 1 Globe Valve (3/4 open) 8 Tee - along line of 0.3 flow Globe Valve (open) 6 Tee - through side 0.8 Gate valve - fully 0.2 open Foot valve with strainer 3 0.25 Screwed socket 0.03 Sudden contraction in pipe Note: (Kv₂2²/2g) (15 marks) K Value