Ethanol flows into a fermentation unit through a pipe with outer diameter of $3\mathrm{.}6$ cm and inner diameter of $3\mathrm{.}0$ cm at a rate of $4\mathrm{.}00$ m$3/$h$.$ Calculate the rate at which kinetic energy is transported into the system $($k$).$ Density of ethanol is $789$ kg$/$m$3.$

Group of answer choices

$0\mathrm{.}523$ J$/$s

$1\mathrm{.}08$ J$/$s

$1\mathrm{.}54$ J$/$s

$5\mathrm{.}49$ J$/$s