Q$1)$

i$-$ Estimate the diffusivity of carbon oxide $(C{O}_2)$ in air at $330K$ and $1\mathrm{.}2$ bar applying the following formula and the data given in Table Q$1.$

$D_{AB}=\frac{[3\mathrm{.}03-(\frac{0\mathrm{.}98}{M_{AB}^{0\mathrm{.}5}})]({10}^{-3})T^{1\mathrm{.}5}}{P{M}_{AB}^{0\mathrm{.}5}{}_{AB}^2{}_D}$

where;

$D_{AB}=$ diffusion coefficient, $c\frac{m^2}{sec}$

$M_A,M_B=$ molecular weights of A and B$,$ respectively

$T=$ temperature, $K$

$P=$ Pressure, bar

${}_{AB}=$ collision diameter, angstrom

${}_D=$ diffusion collision integral, dimensionless

Given the following:

$M_{AB}=2(\frac{1}{M_A}+\frac{1}{M_B}{)}^{-1},{}_{AB}=0\mathrm{.}5({}_A+{}_B),$

$\frac{{}_{AB}}{K}=(\frac{{}_A}{K}\frac{{}_B}{K}{)}^{0\mathrm{.}5}$

ii$-$ Given the data in $($a$),$ estimate the diffusivity at $440K$ and $1\mathrm{.}2$ bar

iii$-$ Given the data in $($a$),$ estimate the diffusivity at $330K$ and $2\mathrm{.}5$ bar

iv$-$ Assume the air is a mixture composed of $77\mathrm{.}5\%N_2,20\mathrm{.}0\%O_2,1\mathrm{.}0\%H_{2}O$ and $1\mathrm{.}5\%C{O}_2($molar basis$).$ Estimate the diffusivity of $C{O}_2$ in the air, provided that: