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I know the concentration of a substrate in a water solution and I want to calculate the diffusion limiting current density for an electrode that reacts with that substrate. What are the steps to calculate that? I think I need to use Fick's law but I am not sure how to calculate dφ/dx. I assume I will get a mass transport moles/m3*second rate from Fick's law and then I can convert that to electrons and then Electrons/second to find the amperes. Can you advise please on the steps to follow?

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  • $\begingroup$ Fick's law are rather about concentration gradient driven diffusion, but this case is about electrostatic gradient driven diffusion. The concentration gradient at the electrode is secondary, as electrode reaction is much faster then ion migration. $\endgroup$ – Poutnik Jun 25 '20 at 13:42

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