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Arrhenius Equation Calculator

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

✖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.ⓘ Arrhenius Equation [K_h]

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Formula

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Arrhenius Equation

Formula

K h = A \cdot (\exp (- (\frac{E a}{[R] \cdot T abs})))

Example

15 Hz = 15 /s \cdot (\exp (- (\frac{20 eV}{[R] \cdot 273.15 K})))

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Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Pre-Exponential Factor: 15 1 per Second --> 15 1 per Second 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

K_h = A*(exp(-(E_a/([R]*T_abs)))) --> 15*(exp(-(3.20435466000001E-18/([R]*273.15))))

Evaluating ... ...

K_h = 15

STEP 3: Convert Result to Output's Unit

15 Hertz --> No Conversion Required

FINAL ANSWER

15 Hertz <-- Rate Constant

(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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College Of Engineering (COEP), Pune

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< Arrhenius Equation Calculators

Pre-exponential Factor in Arrhenius Equation for Forward Reaction

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

Arrhenius Equation for Forward Reaction

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

Arrhenius Equation

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

Pre-exponential Factor in Arrhenius Equation

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

Arrhenius Equation Formula

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

Arrhenius Equation calculator uses Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))) to calculate the Rate Constant, The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T. Rate Constant is denoted by K_h symbol.

How to calculate Arrhenius Equation using this online calculator? To use this online calculator for Arrhenius Equation, enter Pre-Exponential Factor (A), Activation Energy (E_a) & Absolute Temperature (T_abs) and hit the calculate button. Here is how the Arrhenius Equation calculation can be explained with given input values -> 15 = 15*(exp(-(3.20435466000001E-18/([R]*273.15)))).

FAQ

What is Arrhenius Equation?

The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T and is represented as K_h = A*(exp(-(E_a/([R]*T_abs)))) or Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient, 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 Arrhenius Equation?

The Arrhenius equation formula represents the fraction of collisions that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea) at temperature T is calculated using Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). To calculate Arrhenius Equation, you need Pre-Exponential Factor (A), Activation Energy (E_a) & Absolute Temperature (T_abs). With our tool, you need to enter the respective value for Pre-Exponential Factor, 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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