$15$ points

Two tanks are connected by a tube, $0\mathrm{.}01m$ diameter and $5m$ long. One tank contains nitrogen $($A$)$ and the other has carbon dioxide $($B$).$ The pressure and temperature are maintained @ $200$kPa and $25C.$ At some initial time, $t=0,$ convective mass transfer occurs between the two tanks. Considering that the molar fraction of nitrogen at the end and beginning of the tube are $0\mathrm{.}001$ and $0\mathrm{.}007,$ respectively, and also $N_B=0.$ The flux rate $(\frac{\text{m}\text{o}\text{l}}{m^{2}s})$ of nitrogen is:

Hit: Use one of the following constants:

$F=1\mathrm{.}876(\frac{\text{m}\text{o}\text{l}}{m^2}(s))$

$k_y=5\mathrm{.}044(\frac{\text{m}\text{o}\text{l}}{m^2}(s))$

$k_G=4\mathrm{.}74(\frac{\text{m}\text{o}\text{l}}{K}Pa{m}^2(s))$

$k_y^{\text{'}}=0\mathrm{.}74(\frac{\text{m}\text{o}\text{l}}{m^2}(s))$

Important: write the answer in the exponential form, for example, $1\mathrm{.}152$e$-2$ that means $1\mathrm{.}152{10}^{-2}$