Nernst-Planck Equation for Mass Transfer to an Electrode

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17 Questions

What is the term used to describe the stagnant layer of thickness at the electrode surface?

Diffusion layer

In the context of the text, what is the mass-transfer coefficient represented by the symbol mO?

Mass-transfer coefficient

Which condition leads to the largest rate of mass transfer of O according to the text?

CO(x=0) = 0

When the reduction current is considered positive, what relationship exists between CO* and CO(x=0)?

CO* > CO(x=0)

What happens when CR(x=0) > CR* in the context of electrode processes?

Cathode reaction occurs

What is the maximum possible rate at which an electrode process can occur under a given set of mass-transfer conditions known as?

Limiting current

What is the role of an inert electrolyte in reducing mass transfer in electrochemical systems?

Reduce migrational component

How can convection be minimized in an electrochemical cell?

Avoiding stirring and vibrations

In the Nernst-Planck equation, what does Ji represent?

Flux of species i

What is the function of ϕ(x) in the Nernst-Planck equation?

Potential gradient

How does a rigorous solution become challenging in electrochemical systems?

When all three forms of mass transfer are in effect

In the context of electrode processes, what is the relationship between the concentration of species O at the electrode surface and the current?

Linear

For a nernstian reaction, when are the concentrations of O and R at the electrode surface assumed to be at equilibrium with the electrode potential?

When i=0

What is the slope of a plot of log[(il-i)/i] vs. E for a system that follows the given equation?

$nF/2.3RT$

What is the name given to a process where the concentrations at the electrode surface are at equilibrium with the electrode potential?

Nernstian reaction

What does the slope of the i-E plot indicate for a system conforming to the provided equation?

$nF/2.3RT$ value

When i=il/2, what is the relationship between the electrode potential and E1/2?

$E=E1/2$

Explore the Nernst-Planck equation governing one-dimensional mass transfer to an electrode, involving flux, diffusion coefficients, concentration gradients, potential gradients, charges, and concentrations of species. Test your knowledge on this fundamental concept.

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