$11.)$ See the schematic below. Fuel oil with a density of $50lb\frac{m}{f}{t}^3$ is to be transferred from a storage tank. The fuel oil transfer pump delivers $22\mathrm{.}5$ horsepower to the fluid at a flow rate of $500$ gpm $.$ The piping system between the tank and the pump consists of $200$ feet of $9$ inch diameter pipe with a friction factor of $0\mathrm{.}015.$ If the tank is vented to the atmosphere with barometric pressure $=30\mathrm{.}53in-Hg$ and the pump discharge pressure is $100$ psia, what is the height of the oil in the tank at the start of the transfer operation $($ft$)?$ Write your solution using the correct state points from the sketch below.