\(\mathrm{CO}_{2}\) is absorbed into a liquid under conditions such that the liquid-side mass transfer coefficient is \(2 \times 10^{-4} \mathrm{~m} / \mathrm{s}\). The diffusion coefficient of \(\mathrm{CO}_{2}\) in the liquid is \(2 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}\). The interfacial concentration of \(\mathrm{CO}_{2}\) can be found using Henry's law. The pressure is \(1 \mathrm{~atm}\) and the temperature is \(300 \mathrm{~K}\). Assume that \(\mathrm{CO}_{2}\) reacts with a dissolved solute in the liquid with a rate constant of \(1 \mathrm{~s}^{-1}\). Also assume that the bulk concentration of \(\mathrm{CO}_{2}\) is zero.
Find the Hatta number.
Find the flux of \(\mathrm{CO}_{2}\) at the interface.
Find the flux of \(\mathrm{CO}_{2}\) going into the bulk liquid.
What percentage of \(\mathrm{CO}_{2}\) reacts in the film itself?