You must install a centrifugal pump to transfer a volatile liquid from a remote tank to a point in the plant $500 \mathrm{ft}$ from the tank. To minimize the distance that the power line to the pump must be strung, it is desirable to locate the pump as close to the plant as possible. If the liquid has a vapor pressure of $20 \mathrm{psia}$, the pressure in the tank is $30 \mathrm{psia}$, the level in the tank is $30 \mathrm{ft}$ above the pump inlet, and the required pump NPSH is $15 \mathrm{ft}$, what is the closest that the pump can be located to the plant without the possibility of cavitation? The line is $2 \mathrm{in}$. sch 40 , the flow rate is $100 \mathrm{gpm}$, and the fluid properties are $ho=45 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$ and $\mu=5 \mathrm{cP}$.