Electric Elementary Charge given Tafel Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient)
e = (ln(10)*[BoltZ]*T)/(Aslope*α)
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Elementary Charge - (Measured in Coulomb) - The Elementary charge is the electric charge carried out by a single proton or single electron.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
Charge Transfer Coefficient - The Charge Transfer Coefficient used in the description of the kinetics of the electrochemical reaction.
STEP 1: Convert Input(s) to Base Unit
Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
Tafel Slope: 0.098 Volt --> 0.098 Volt No Conversion Required
Charge Transfer Coefficient: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = (ln(10)*[BoltZ]*T)/(Aslope*α) --> (ln(10)*[BoltZ]*298)/(0.098*0.6)
Evaluating ... ...
e = 1.611156613679E-19
STEP 3: Convert Result to Output's Unit
1.611156613679E-19 Coulomb --> No Conversion Required
FINAL ANSWER
1.611156613679E-19 1.6E-19 Coulomb <-- Elementary Charge
(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

Electric Elementary Charge given Tafel Slope Formula

Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient)
e = (ln(10)*[BoltZ]*T)/(Aslope*α)

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 Electric Elementary Charge given Tafel Slope?

Electric Elementary Charge given Tafel Slope calculator uses Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient) to calculate the Elementary Charge, The Electric elementary charge given Tafel slope formula is defined as the direct relation with temperature an inverse relation with Tafel slope and charge transfer coefficient. Elementary Charge is denoted by e symbol.

How to calculate Electric Elementary Charge given Tafel Slope using this online calculator? To use this online calculator for Electric Elementary Charge given Tafel Slope, enter Temperature (T), Tafel Slope (Aslope) & Charge Transfer Coefficient (α) and hit the calculate button. Here is how the Electric Elementary Charge given Tafel Slope calculation can be explained with given input values -> 1.9E-19 = (ln(10)*[BoltZ]*298)/(0.098*0.6).

FAQ

What is Electric Elementary Charge given Tafel Slope?
The Electric elementary charge given Tafel slope formula is defined as the direct relation with temperature an inverse relation with Tafel slope and charge transfer coefficient and is represented as e = (ln(10)*[BoltZ]*T)/(Aslope*α) or Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient). Temperature is the degree or intensity of heat present in a substance or object, 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 Charge Transfer Coefficient used in the description of the kinetics of the electrochemical reaction.
How to calculate Electric Elementary Charge given Tafel Slope?
The Electric elementary charge given Tafel slope formula is defined as the direct relation with temperature an inverse relation with Tafel slope and charge transfer coefficient is calculated using Elementary Charge = (ln(10)*[BoltZ]*Temperature)/(Tafel Slope*Charge Transfer Coefficient). To calculate Electric Elementary Charge given Tafel Slope, you need Temperature (T), Tafel Slope (Aslope) & Charge Transfer Coefficient (α). With our tool, you need to enter the respective value for Temperature, Tafel Slope & Charge Transfer Coefficient 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 Elementary Charge?
In this formula, Elementary Charge uses Temperature, Tafel Slope & Charge Transfer Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Elementary Charge = ([BoltZ]*Temperature)/Thermal Voltage
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