$($a$)C{O}_2$ is diffusing at steady state through a straight tube of $10cm$ length containing $N_2$ at $300K$ and $1$ atm pressure. Diameter of the tube is $5cm.$ The partial pressure of $C{O}_2$ at one end is $30$kPa and in another end is $10$kPa. Given, at this temperature and pressure, DCO$2N_2=4+{10}^{-5}\frac{m^2}{s}.$ Calculate the following values:

molar flowrate of $C{O}_2$ and $N_2$ for equinolar coumter $-$ diffusion;

molar flowrate of $C{O}_2$ and $N_2$ for diffusion of $C{O}_2$ through non $-$ diffusing $N_2.$