PLEASE SOLVE USING GIVEN DATA

Exposure to high concentrations of gaseous ammonia can cause lung

damage. The acceptable short$-$term ammonia exposure level set by the

Occupational Safety and Health Administration $($OSHA$)$ is $35$ ppm for $15$

min. Consider a vessel filled with gaseous ammonia at $30mo\frac{l}{L},$ and a

$10-cm-$diameter circular plastic plug with a thickness of $2mm$ is used to

contain the ammonia inside the vessel. The ventilation system is capable

of keeping the room safe with fresh air, provided that the rate of ammonia

being released is below $0\mathrm{.}2m\frac{g}{s}.$ If the diffusion coefficient of ammonia

through the plug is $1\mathrm{.}3{10}^{-10}\frac{m^2}{s},$ determine whether or not the plug

can safely contain the ammonia inside the vessel.