A gas mixture containing $85\mathrm{.}0$mole$\%N_2$ and the balance $n-$hexane flows through a pipe at a rate of $100\mathrm{.}0\frac{m^3}{h}.$ The pressure is $2\mathrm{.}00$atm absolute and the temperature is $100C.$

$($a$)$ What is the molar flow rate of the gas in kmo$\frac{l}{h}?$

$($b$)$ Is the gas saturated? If not, to what temperature $(C)$ would it have to be cooled at constant pressure in order to begin condensing hexane?

$($c$)$ To what temperature $(C)$ would the gas have to be cooled at constant pressure in order to condense $80\%$ of the hexane?