A liquid with a viscosity of $5 mathrm{cP}$, density of $45 mathrm{lb}_{mathrm{m}} / mathrm{ft}^{3}$, and vapor pressure

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A liquid with a viscosity of $5 \mathrm{cP}$, density of $45 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$, and vapor pressure of $20 \mathrm{psia}$ is transported from a storage tank in which the pressure is 30 psia to an open tank $500 \mathrm{ft}$ downstream, at a rate of $100 \mathrm{gpm}$. The liquid level in the storage tank is $30 \mathrm{ft}$ above the pump, and the pipeline is $2 \mathrm{in}$. sch 40 commercial steel. If the transfer pump has a required NPSH of $15 \mathrm{ft}$, how far downstream from the storage tank can the pump be located without danger of cavitation?

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