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Pre-exponential Factor in Arrhenius Equation Calculator

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✖Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product.ⓘ Rate Constant [K_h]			+10% -10%
✖Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation or physical transport.ⓘ Activation Energy [E_a]			+10% -10%
✖Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.ⓘ Absolute Temperature [T_abs]			+10% -10%

✖The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient.ⓘ Pre-exponential Factor in Arrhenius Equation [A]

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Pre-exponential Factor in Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature)))
A = K_h/exp(-(E_a/([R]*T_abs)))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Pre-Exponential Factor - (Measured in 1 per Second) - The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient.
Rate Constant - (Measured in Hertz) - Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product.
Activation Energy - (Measured in Joule) - Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation or physical transport.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.

STEP 1: Convert Input(s) to Base Unit

Rate Constant: 1E-06 Hertz --> 1E-06 Hertz No Conversion Required
Activation Energy: 20 Electron-Volt --> 3.20435466000001E-18 Joule (Check conversion here)
Absolute Temperature: 273.15 Kelvin --> 273.15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = K_h/exp(-(E_a/([R]*T_abs))) --> 1E-06/exp(-(3.20435466000001E-18/([R]*273.15)))

Evaluating ... ...

A = 1E-06

STEP 3: Convert Result to Output's Unit

1E-06 1 per Second --> No Conversion Required

FINAL ANSWER

1E-06 ≈ 1E-6 1 per Second <-- Pre-Exponential Factor

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< Arrhenius Equation Calculators

Pre-exponential Factor in Arrhenius Equation for Forward Reaction

LaTeX Go Forward Pre-exponential Factor = Forward reaction rate constant/exp(-(Activation Energy Forward/([R]*Absolute Temperature)))

Arrhenius Equation for Forward Reaction

LaTeX Go Forward reaction rate constant = Forward Pre-exponential Factor*exp(-(Activation Energy Forward/([R]*Absolute Temperature)))

Arrhenius Equation

LaTeX Go Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature))))

Pre-exponential Factor in Arrhenius Equation

LaTeX Go Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature)))

Pre-exponential Factor in Arrhenius Equation Formula

LaTeX Go

Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature)))
A = K_h/exp(-(E_a/([R]*T_abs)))

What is Arrhenius Equation?

The Arrhenius equation is a formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and reverse reactions. This equation has a vast and important application in determining rate of chemical reactions and for calculation of energy of activation.

How to Calculate Pre-exponential Factor in Arrhenius Equation?

Pre-exponential Factor in Arrhenius Equation calculator uses Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature))) to calculate the Pre-Exponential Factor, The Pre-exponential factor in Arrhenius equation formula is defined as an empirical relationship between temperature, T and rate coefficient, k. Pre-Exponential Factor is denoted by A symbol.

How to calculate Pre-exponential Factor in Arrhenius Equation using this online calculator? To use this online calculator for Pre-exponential Factor in Arrhenius Equation, enter Rate Constant (K_h), Activation Energy (E_a) & Absolute Temperature (T_abs) and hit the calculate button. Here is how the Pre-exponential Factor in Arrhenius Equation calculation can be explained with given input values -> 1E-6 = 1E-06/exp(-(3.20435466000001E-18/([R]*273.15))).

FAQ

What is Pre-exponential Factor in Arrhenius Equation?

The Pre-exponential factor in Arrhenius equation formula is defined as an empirical relationship between temperature, T and rate coefficient, k and is represented as A = K_h/exp(-(E_a/([R]*T_abs))) or Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature))). Rate Constant is the coefficient of proportionality relating the rate of a chemical reaction at a given temperature to the concentration of reactant or product, Activation Energy is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo chemical transformation or physical transport & Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.

How to calculate Pre-exponential Factor in Arrhenius Equation?

The Pre-exponential factor in Arrhenius equation formula is defined as an empirical relationship between temperature, T and rate coefficient, k is calculated using Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature))). To calculate Pre-exponential Factor in Arrhenius Equation, you need Rate Constant (K_h), Activation Energy (E_a) & Absolute Temperature (T_abs). With our tool, you need to enter the respective value for Rate Constant, Activation Energy & Absolute Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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