$(35$ pts $)$ The flow from a gasoline storage tank to a carburetor$/$fuel tank is driven by a pump as shown below. The flow rate is $6\mathrm{.}3c\frac{m^3}{s}(6\mathrm{.}3{10}^{-6}\frac{m^3}{s}).$ Both tanks are sealed under air pressures given below. The friction head loss along the entire length of the pipe is $h_f=210\frac{V^2}{2}g$ where V is the velocity in the $5-mm$ diameter pipe. The pipe discharges into the carburetor tank through a $0\mathrm{.}8-mm$ diameter nozzle as shown. The specific gravity of the gasoline is $S_{\text{g}\text{a}\text{s}\text{o}\text{l}\text{i}\text{n}\text{e}}=0\mathrm{.}7$ and the specific weight of water is ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=9\mathrm{.}81k\frac{N}{m^3}.$

Determine the power required to run the pump if it is $75\%$ efficient.