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Electric Elementary Charge given Tafel Slope Calculator

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✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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 Charge Transfer Coefficient used in the description of the kinetics of the electrochemical reaction.ⓘ Charge Transfer Coefficient [α]			+10% -10%

✖The Elementary charge is the electric charge carried out by a single proton or single electron.ⓘ Electric Elementary Charge given Tafel Slope [e]

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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)/(A_slope*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)/(A_slope*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)

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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))

Electric Elementary Charge given Tafel Slope Formula

LaTeX Go

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