A tanker ship is transporting 0.798 kg/m3 of a rare gas in its tank. After the fill-up, the 1.94 m long pipe used to fill the tank was left open for 10.4 hours. In that time, 11.7 x10-4 kg of the gas diffuses out of the tank, almost nothing compared to the original quantity of gas in the tank. If the concentration of that gas in our atmosphere is typically zero, and the diffusion constant of that gas is 2.13 x10-5 m2/s, what is the cross-sectional area of the pipe?

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Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.