In a coal gasification process, the output gas $($mw $=0\mathrm{.}013$ kg$/$mol$,\backslash$mu $=105$

kg$/$m s$,$ k $=1\mathrm{.}36)$ is moved from a high pressure reservoir along a commercial

steel pipe that is $15-$cm$-$i$.$d$.$ pipe and $100$ m long. The inlet pressure is at $1$ MPa

absolute pressure, and the outlet pressure is at $500$ kPa. The gas temperature is

$87$ C$.$ Determine the mass flux of the gas.