A large tank filled with oxygen has an initial concentration of oxygen of \(2 \mathrm{~mol} / \mathrm{m}^{3}\). The surface concentration on the liquid side of the interface is changed to \(9 \mathrm{~mol} / \mathrm{m}^{3}\) and maintained at this value.

Calculate and plot the concentration profile for times \(3600 \mathrm{~s}\) and \(36000 \mathrm{~s}\).

Find the rates of oxygen transport at these times.

Find the total amount of oxygen transferred from the beginning to the end of the above time period.

The diffusion coefficient of oxygen is \(2 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}\) in water.

The penetration depth of oxygen is defined as \(\sqrt{12 D_{\mathrm{A}} t}\), and is a measure of the depth up to which the oxygen concentration has changed. Calculate the values at the two times above.