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Overpotential for Cathodic Reaction from Tafel Equation Calculator

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

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Overpotential for Cathodic Reaction from Tafel Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))
η = -(A_slope)*(log10(i/i₀))
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

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.
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.
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

Tafel Slope: 0.098 Volt --> 0.098 Volt No Conversion Required
Electric Current Density: 0.405 Ampere per Square Meter --> 0.405 Ampere per Square Meter 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

η = -(A_slope)*(log10(i/i₀)) --> -(0.098)*(log10(0.405/0.2))

Evaluating ... ...

η = -0.0300296526999674

STEP 3: Convert Result to Output's Unit

-0.0300296526999674 Volt --> No Conversion Required

FINAL ANSWER

-0.0300296526999674 ≈ -0.03003 Volt <-- Overpotential

(Calculation completed in 00.004 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))

Overpotential for Cathodic Reaction from Tafel Equation Formula

LaTeX Go

Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))
η = -(A_slope)*(log10(i/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 Overpotential for Cathodic Reaction from Tafel Equation?

Overpotential for Cathodic Reaction from Tafel Equation calculator uses Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density)) to calculate the Overpotential, The Overpotential for cathodic reaction from Tafel equation formula is defined as the product of negative Tafel slope to the logarithm of current density per exchange current density. Overpotential is denoted by η symbol.

How to calculate Overpotential for Cathodic Reaction from Tafel Equation using this online calculator? To use this online calculator for Overpotential for Cathodic Reaction from Tafel Equation, enter Tafel Slope (A_slope), Electric Current Density (i) & Exchange Current Density (i₀) and hit the calculate button. Here is how the Overpotential for Cathodic Reaction from Tafel Equation calculation can be explained with given input values -> -0.166499 = -(0.098)*(log10(0.405/0.2)).

FAQ

What is Overpotential for Cathodic Reaction from Tafel Equation?

The Overpotential for cathodic reaction from Tafel equation formula is defined as the product of negative Tafel slope to the logarithm of current density per exchange current density and is represented as η = -(A_slope)*(log10(i/i₀)) or Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density)). 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 Electric current density is the amount of charge per unit of time that flows through the unit area of a chosen cross-section & The Exchange Current Density is defined as the current in the absence of net electrolysis and at zero overpotential.

How to calculate Overpotential for Cathodic Reaction from Tafel Equation?

The Overpotential for cathodic reaction from Tafel equation formula is defined as the product of negative Tafel slope to the logarithm of current density per exchange current density is calculated using Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density)). To calculate Overpotential for Cathodic Reaction from Tafel Equation, you need Tafel Slope (A_slope), Electric Current Density (i) & Exchange Current Density (i₀). With our tool, you need to enter the respective value for Tafel Slope, Electric Current Density & 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 Overpotential?

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

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

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