Gas $C{O}_2$ is contained inside a container. The cover $($made of vulcanized rubber$)$ is used to close the container at the top. The thickness of the cover is $30mm$ with an area of $4\mathrm{.}0{10}^{-4}{m}^2.$ The gas $C{O}_2$ inside the container is at $25C$ and $2\mathrm{.}0$atm pressure. Assume that the partial pressure of $C{O}_2$ outside is zero. It can be assumed also that the solubility of $C{O}_2$ gas $($at STP of $0C$ and $1$atm $)$ per $m^3$ rubber per atm pressure of $C{O}_2.$ The diffusivity is $0\mathrm{.}11{10}^{-9}\frac{m^2}{s}.$

a$.$ Draw the schematic diagram showing the above conditions.

b$.$ If we want to calculate the diffusion of $C{O}_2$ across the cover $($made of vulcanized rubber$),$ which equation should we use?

c$.$ Determine the diffusion of $C{O}_2$ through the cover to the outside in kgmolCO$\frac{2}{s}$ at steady state.

d$.$ Estimate how many days it will take for all the $C{O}_2$ to flow out of the container.