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/-Aslope))
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/-Aslope)) --> 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 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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16 Tafel Slope Calculators

Tafel Slope given Temperature and Charge Transfer Coefficient
Go Tafel Slope = (ln(10)*[BoltZ]*Temperature)/(Elementary Charge*Charge Transfer Coefficient)
Charge Transfer Coefficient given Tafel Slope
Go Charge Transfer Coefficient = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Elementary Charge)
Electric Elementary Charge given Tafel Slope
Go Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient)
Overpotential for Cathodic Reaction from Tafel Equation
Go Overpotential = -(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))
Overpotential for Anodic Reaction from Tafel Equation
Go Overpotential = +(Tafel Slope)*(log10(Electric Current Density/Exchange Current Density))
Tafel Slope for Cathodic Reaction from Tafel Equation
Go Tafel Slope = -Overpotential/(log10(Electric Current Density/Exchange Current Density))
Tafel Slope for Anodic Reaction from Tafel Equation
Go Tafel Slope = +Overpotential/(log10(Electric Current Density/Exchange Current Density))
Exchange Current Density for Cathodic Reaction from Tafel Equation
Go Exchange Current Density = Electric Current Density/(10^(Overpotential/-Tafel Slope))
Exchange Current Density for Anodic Reaction from Tafel Equation
Go Exchange Current Density = Electric Current Density/(10^(Overpotential/+Tafel Slope))
Current Density for Cathodic Reaction from Tafel Equation
Go Electric Current Density = (10^(Overpotential/-Tafel Slope))*Exchange Current Density
Current Density for Anodic Reaction from Tafel Equation
Go Electric Current Density = (10^(Overpotential/Tafel Slope))*Exchange Current Density
Thermal Voltage given Tafel Slope
Go Thermal Voltage = (Tafel Slope*Charge Transfer Coefficient)/(ln(10))
Charge Transfer Coefficient given Thermal Voltage
Go Charge Transfer Coefficient = (ln(10)*Thermal Voltage)/Tafel Slope
Tafel Slope given Thermal Voltage
Go Tafel Slope = (ln(10)*Thermal Voltage)/Charge Transfer Coefficient
Thermal Voltage given Temperature and Electric Elementary Charge
Go Thermal Voltage = ([BoltZ]*Temperature)/Elementary Charge
Electric Elementary Charge given Thermal Voltage
Go Elementary Charge = ([BoltZ]*Temperature)/Thermal Voltage

Exchange Current Density for Cathodic Reaction from Tafel Equation Formula

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

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 (Aslope) 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/-Aslope)) 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 (Aslope). 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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