A piping system takes water at $60^{circ} mathrm{F}$ from a tank at atmospheric pressure to a plant

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A piping system takes water at $60^{\circ} \mathrm{F}$ from a tank at atmospheric pressure to a plant vessel at 25 psig that is $30 \mathrm{ft}$ higher than the upstream tank. The transfer line contains $300 \mathrm{ft}$ of $3 \mathrm{in}$. sch 40 pipe, $1090^{\circ}$ elbows, an orifice meter, a $2 \times 3$ pump with a $73 / 4$ in. impeller (with the characteristic as given on Figure 8.2), and a $3 \times 2$ equal percentage control valve. A constant flow rate of $200 \mathrm{gpm}$ is required in the system.

Figure 8.2

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(a) What size orifice should be installed if the DP (differential pressure) cell used to measure the pressure drop across the orifice has a maximum range of 25 in. $\mathrm{H}_{2} \mathrm{O}$ ?

(b) What is the $C_{\mathrm{v}}$ of the valve that gives the required flow rate?

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