In a binary system composed of $O_{2}$ (Component A) and $CO_{2}$ (Component B), one-dimensional steady-state diffusion occurs. It is known that $c_{\mathrm{A}}=0.0207 \, \mathrm{kmol}/\mathrm{m}^{3}$, $c_{\mathrm{B}}=0.0622 \, \mathrm{kmol}/\mathrm{m}^{3}$, $u_{\mathrm{A}}=0.0017 \, \mathrm{m}/\mathrm{s}$, and $u_{\mathrm{B}}=0.0003 \, \mathrm{m}/\mathrm{s}$. Try to calculate $n_A$, $n_B$, and $n$.

Options:
A. $$
\begin{array} {l} {{{{n_{A}=1. \, 0 9 8 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=8. \, 3 5 2 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 9 2 4 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
B. $$
\begin{array} {l} {{{{n_{A}=1. \, 3 2 2 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=7. \, 9 8 0 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 8 7 6 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
C. $$
\begin{array} {l} {{{{n_{A}=1. \, 3 7 9 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=9. \, 2 8 6 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=2. \, 0 6 1 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
D. $$
\begin{array} {l} {{{{n_{A}=1. \, 2 5 0 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=7. \, 7 2 5 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 8 3 2 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
E. $$
\begin{array} {l} {{{{n_{A}=1. \, 1 2 5 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=8. \, 2 1 1 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 9 4 6 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
F. $$
\begin{array} {l} {{{{n_{A}=1. \, 0 7 2 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=8. \, 5 0 4 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 9 8 7 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
G. $$
\begin{array} {l} {{{{n_{A}=1. \, 2 1 3 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=9. \, 1 0 5 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=2. \, 0 4 8 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
H. $$
\begin{array} {l} {{{{n_{A}=1. \, 4 8 6 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=8. \, 0 3 3 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 9 6 1 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
I. $$
\begin{array} {l} {{{{n_{A}=1. \, 2 8 9 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=8. \, 9 4 7 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=2. \, 1 0 8 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
J. $$
\begin{array} {l} {{{{n_{A}=1. \, 4 5 3 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n_{B}=7. \, 5 9 1 \times1 0^{-4} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ {{{{n=1. \, 7 8 3 \times1 0^{-3} \mathrm{k g} / ( \mathrm{m}^{2} \cdot\mathrm{s} )}}}} \\ \end{array}
$$
Answer: E