Hydrogen $($H$2)$ flows in a constant$-$area duct with a $3-$cm diameter and a length of $25$ cm$.$If the initial velocity is $2500$ m$/$s$,$ and the Darcy friction factor is $0\mathrm{.}024,$ find the exit Mach number and velocity.$$ If the initial static conditions $($State $1)$ are $250$ K and $500$ kPa, calculate the exit $($State $2)$ static pressure and static temperature.