Estimate the diffusion coefficient $(D_{AB})$ at $1$ atm for the given binary system assigned to you

number by

a$.$ Using the following equation where $D_{AB}$ is in $c\frac{m^2}{s},P($total pressure$)$ is in atm, $T$ is in $K,$

$a=2\mathrm{.}745{10}^{-4}$ and $b=1\mathrm{.}823$ for non$-$polar gas pairs, excluding $He$ and $H_2$ and $a=3\mathrm{.}640{10}^{-4}$ and

$b=2\mathrm{.}344$ for pairs consisting of $H_{2}O$ and a nonpolar gas.

$\frac{P{D}_{AB}}{(P_{cA}{P}_{cB}{)}^{\frac{1}{3}}(T_{cA}{T}_{cB}{)}^{\frac{5}{12}}(\frac{1}{M_A}+\frac{1}{M_B}{)}^{\frac{1}{2}}}=a(\frac{T}{\sqrt[\phantom{2}]{T_{cA}{T}_{cB}}}{)}^b$

b$.$ Using Chapman$-$Enskog Equation, finding collision diameter and collision integral based on

Lennard$-$Jones potential.

c$.$ Investigate the effect of temperature and pressure on each $D_{AB}$ calculation $($at parts $a,b,c)$ for

at least five different temperature and pressure levels and and show your results on a graph.