Calculate the fluxes and concentration profiles for the ternary system hydrogen (1), nitrogen (2), and carbon dioxide (3) under the following conditions. The temperature is \(308 \mathrm{~K}\) and the pressure is \(1 \mathrm{~atm}\). The diffusion path length is \(86 \mathrm{~mm}\). At one end of the diffusion path, the concentration is \(20 \mathrm{~mol} \% \mathrm{H}_{2}, 40 \% \mathrm{~N}_{2}\), \(40 \% \mathrm{CO}_{2}\); at the other end, the concentration is \(50 \% \mathrm{H}_{2}, 20 \% \mathrm{~N}_{2}, 30 \% \mathrm{CO}_{2}\). The total molar flux is zero, \(N=0\). The MS diffusion coefficients are \(D_{12}=83.8 \mathrm{~mm}^{2} / \mathrm{s}\), \(D_{13}=68.0 \mathrm{~mm}^{2} / \mathrm{s}, D_{23}=16.8 \mathrm{~mm}^{2} / \mathrm{s}\).