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Exchange Current Density for Cathodic Reaction from Tafel Equation Calculator

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✖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 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 for Cathodic Reaction from Tafel Equation [i₀]

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Exchange Current Density for Cathodic Reaction from Tafel Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Electric Current Density: 0.405 Ampere per Square Meter --> 0.405 Ampere per Square Meter No Conversion Required
Overpotential: 0.03 Volt --> 0.03 Volt No Conversion Required
Tafel Slope: 0.098 Volt --> 0.098 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i₀ = i/(10^(η/-A_slope)) --> 0.405/(10^(0.03/-0.098))

Evaluating ... ...

i₀ = 0.819553807328689

STEP 3: Convert Result to Output's Unit

0.819553807328689 Ampere per Square Meter --> No Conversion Required

FINAL ANSWER

0.819553807328689 ≈ 0.819554 Ampere per Square Meter <-- Exchange Current Density

(Calculation completed in 00.008 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))

Exchange Current Density for Cathodic Reaction from Tafel Equation Formula

LaTeX Go

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

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 Exchange Current Density for Cathodic Reaction from Tafel Equation?

Exchange Current Density for Cathodic Reaction from Tafel Equation calculator uses Exchange Current Density = Electric Current Density/(10^(Overpotential/-Tafel Slope)) to calculate the Exchange Current Density, The Exchange current density for cathodic reaction from Tafel equation formula is defined as the ratio of electric density and the antilog of overpotential to the negative of Tafel slope. Exchange Current Density is denoted by i₀ symbol.

How to calculate Exchange Current Density for Cathodic Reaction from Tafel Equation using this online calculator? To use this online calculator for Exchange Current Density for Cathodic Reaction from Tafel Equation, enter Electric Current Density (i), Overpotential (η) & Tafel Slope (A_slope) and hit the calculate button. Here is how the Exchange Current Density for Cathodic Reaction from Tafel Equation calculation can be explained with given input values -> 20.2359 = 0.405/(10^(0.03/-0.098)).

FAQ

What is Exchange Current Density for Cathodic Reaction from Tafel Equation?

The Exchange current density for cathodic reaction from Tafel equation formula is defined as the ratio of electric density and the antilog of overpotential to the negative of Tafel slope and is represented as i₀ = i/(10^(η/-A_slope)) or Exchange Current Density = Electric Current Density/(10^(Overpotential/-Tafel Slope)). 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 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.

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

The Exchange current density for cathodic reaction from Tafel equation formula is defined as the ratio of electric density and the antilog of overpotential to the negative of Tafel slope is calculated using Exchange Current Density = Electric Current Density/(10^(Overpotential/-Tafel Slope)). To calculate Exchange Current Density for Cathodic Reaction from Tafel Equation, you need Electric Current Density (i), Overpotential (η) & Tafel Slope (A_slope). With our tool, you need to enter the respective value for Electric Current Density, Overpotential & Tafel Slope 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 Exchange Current Density?

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

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

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