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Current Density for Cathodic Reaction from Tafel Equation Calculator

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✖The Overpotential is the potential difference between a half-reaction's thermodynamically determined reduction potential and the potential at which the redox event is experimentally observed.ⓘ Overpotential [η]			+10% -10%
✖The Tafel Slope describes how the electrical current through an electrode depends on the voltage difference between the electrode and the bulk electrolyte. The Tafel slope is measured experimentally.ⓘ Tafel Slope [A_slope]			+10% -10%
✖The Exchange Current Density is defined as the current in the absence of net electrolysis and at zero overpotential.ⓘ Exchange Current Density [i₀]			+10% -10%

✖The Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section.ⓘ Current Density for Cathodic Reaction from Tafel Equation [i]

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Current Density for Cathodic Reaction from Tafel Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density
i = (10^(η/-A_slope))*i₀
This formula uses 4 Variables

Variables Used

Electric Current Density - (Measured in Ampere per Square Meter) - The Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section.
Overpotential - (Measured in Volt) - The Overpotential is the potential difference between a half-reaction's thermodynamically determined reduction potential and the potential at which the redox event is experimentally observed.
Tafel Slope - (Measured in Volt) - The Tafel Slope describes how the electrical current through an electrode depends on the voltage difference between the electrode and the bulk electrolyte. The Tafel slope is measured experimentally.
Exchange Current Density - (Measured in Ampere per Square Meter) - The Exchange Current Density is defined as the current in the absence of net electrolysis and at zero overpotential.

STEP 1: Convert Input(s) to Base Unit

Overpotential: 0.03 Volt --> 0.03 Volt No Conversion Required
Tafel Slope: 0.098 Volt --> 0.098 Volt No Conversion Required
Exchange Current Density: 0.2 Ampere per Square Meter --> 0.2 Ampere per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = (10^(η/-A_slope))*i₀ --> (10^(0.03/-0.098))*0.2

Evaluating ... ...

i = 0.0988342672264767

STEP 3: Convert Result to Output's Unit

0.0988342672264767 Ampere per Square Meter --> No Conversion Required

FINAL ANSWER

0.0988342672264767 ≈ 0.098834 Ampere per Square Meter <-- Electric Current Density

(Calculation completed in 00.020 seconds)

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Overpotential for Cathodic Reaction from Tafel Equation

LaTeX Go Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))

Overpotential for Anodic Reaction from Tafel Equation

LaTeX Go Overpotential = +(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))

Tafel Slope for Cathodic Reaction from Tafel Equation

LaTeX Go Tafel Slope = -Overpotential/(log10(Electric Current Density/Exchange Current Density))

Tafel Slope for Anodic Reaction from Tafel Equation

LaTeX Go Tafel Slope = +Overpotential/(log10(Electric Current Density/Exchange Current Density))

Current Density for Cathodic Reaction from Tafel Equation Formula

LaTeX Go

Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density
i = (10^(η/-A_slope))*i₀

What is Tafel equation?

The Tafel equation is an equation in electrochemical kinetics relating the rate of an electrochemical reaction to the overpotential. The Tafel equation was first deduced experimentally and was later shown to have a theoretical justification. The equation is named after Swiss chemist Julius Tafel.
" It describes how the electrical current through an electrode depends on the voltage difference between the electrode and the bulk electrolyte for a simple, unimolecular redox reaction ".

How to Calculate Current Density for Cathodic Reaction from Tafel Equation?

Current Density for Cathodic Reaction from Tafel Equation calculator uses Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density to calculate the Electric Current Density, The Current density for cathodic reaction from Tafel equation formula is defined as the product of antilog of overpotential per negative tafel slope to the exchange current density. Electric Current Density is denoted by i symbol.

How to calculate Current Density for Cathodic Reaction from Tafel Equation using this online calculator? To use this online calculator for Current Density for Cathodic Reaction from Tafel Equation, enter Overpotential (η), Tafel Slope (A_slope) & Exchange Current Density (i₀) and hit the calculate button. Here is how the Current Density for Cathodic Reaction from Tafel Equation calculation can be explained with given input values -> 0.098834 = (10^(0.03/-0.098))*0.2.

FAQ

What is Current Density for Cathodic Reaction from Tafel Equation?

The Current density for cathodic reaction from Tafel equation formula is defined as the product of antilog of overpotential per negative tafel slope to the exchange current density and is represented as i = (10^(η/-A_slope))*i₀ or Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density. The Overpotential is the potential difference between a half-reaction's thermodynamically determined reduction potential and the potential at which the redox event is experimentally observed, The Tafel Slope describes how the electrical current through an electrode depends on the voltage difference between the electrode and the bulk electrolyte. The Tafel slope is measured experimentally & The Exchange Current Density is defined as the current in the absence of net electrolysis and at zero overpotential.

How to calculate Current Density for Cathodic Reaction from Tafel Equation?

The Current density for cathodic reaction from Tafel equation formula is defined as the product of antilog of overpotential per negative tafel slope to the exchange current density is calculated using Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density. To calculate Current Density for Cathodic Reaction from Tafel Equation, you need Overpotential (η), Tafel Slope (A_slope) & Exchange Current Density (i₀). With our tool, you need to enter the respective value for Overpotential, Tafel Slope & Exchange Current Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Electric Current Density?

In this formula, Electric Current Density uses Overpotential, Tafel Slope & Exchange Current Density. We can use 1 other way(s) to calculate the same, which is/are as follows -

Electric Current Density = (10^(Overpotential/Tafel Slope))*Exchange Current Density

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