$7\mathrm{.}16$ Figure P$7\mathrm{.}16$ shows a pump delivering $840\frac{L}{m}in$ of crude oil$(sg=0\mathrm{.}85)$ from an underground storage drum to the first stage of a processing system. $($a$)$ If the total energy loss in the system is $4\mathrm{.}2N*\frac{m}{N}$ of oil flowing, calculate the power delivered by the pump.$($b$)$ If the energy loss in the suction pipe is $1\mathrm{.}4N*\frac{m}{N}of$ oil flowing, calculate the pressure at the pump inlet.

Figure P$7\mathrm{.}16$