As shown in Fig. P5.10D, a pump delivers water to a

Chapter 5, Problem 5.10D

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As shown in Fig. P5.10D, a pump delivers water to a 500-foot-long pipe at a pressure of \(55 \mathrm{lbf} / \mathrm{in} .^{2}\) and a temperature of \(60^{\circ} \mathrm{F}\). The pipe supplies water at a volumetric flow rate of \(200 \mathrm{ft}^{3} / \mathrm{min}\) to a storage tank whose pressure cannot be less than \(20 \mathrm{lbf} / \mathrm{in} .^{2}\). For an ANSI Schedule 40 steel pipe, determine the smallest standard pipe diameter, in inches, that meets these requirements. Assume steady state with negligible change in pipe elevation from inlet to exit, and the Moody friction factor diagram applies.

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