Problem $1\mathrm{.}8$

The rate at which a substance passes through a semipermeable membrane is determined by the diffusivity $D(c\frac{m^2}{s})$ of the gas. $D$ varies with the membrane temperature $T(K)$ according to the Arrhenius Equation:

$D=D_0$exp$(-\frac{E}{RT})$

Where $D_0$ is the pre$-$exponential factor, $E$ is the activation energy for Diffusion and $R$ is the universal gas constant $R=1\mathrm{.}987ca\frac{l}{\text{m}\text{o}\text{l}\text{.}K}.$

Diffusivities of $S{O}_2$ in fluoro$-$silicone rubber tube are measured at several temperatures, with the following results:

$\backslash$table$[[T(K),D(c\frac{m^2}{s}){10}^6,],[347\mathrm{.}0,1\mathrm{.}34,$ so that $($:$D=1\mathrm{.}34{10}^{-6}c\frac{m^2}{s}\}$