Question: A 10-m-long, 5.042-cm I.D. copper pipe has two fully open gate valves, a swing check valve, and a sudden enlargement to a 9.919-cm I.D. copper

A 10-m-long, 5.042-cm I.D. copper pipe has two fully open gate valves, a swing check valve, and a sudden enlargement to a 9.919-cm I.D. copper pipe. The $9.919 \mathrm{~cm}$ copper pipe is $5.0 \mathrm{~m}$ long and then has a sudden contraction to another $5.042-\mathrm{cm}$ copper pipe. Find the head loss for a $20^{\circ} \mathrm{C}$ water flow rate of $0.05 \mathrm{~m}^{3} / \mathrm{s}$.

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