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Arrhenius Equation Formula

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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. Check FAQs

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

K_h - Rate Constant?A - Pre-Exponential Factor?E_a - Activation Energy?T_abs - Absolute Temperature?[R] - Universal gas constant?

Arrhenius Equation Example

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Here is how the Arrhenius Equation equation looks like with Values.

Here is how the Arrhenius Equation equation looks like with Units.

Here is how the Arrhenius Equation equation looks like.

15 = 15 \cdot (\exp (- (\frac{20}{8.3145 \cdot 273.15})))

15Hz = 151/s \cdot (\exp (- (\frac{20eV}{8.3145 \cdot 273.15K})))

15 = 15 \cdot (\exp (- (\frac{20}{8.3145 \cdot 273.15})))

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Arrhenius Equation Solution

Follow our step by step solution on how to calculate Arrhenius Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K h = 151/s \cdot (\exp (- (\frac{20eV}{[R] \cdot 273.15K})))

Next Step Substitute values of Constants

∴

K h = 151/s \cdot (\exp (- (\frac{20eV}{8.3145 \cdot 273.15K})))

Next Step Convert Units

∴

K h = 151/s \cdot (\exp (- (\frac{3.2E-18J}{8.3145 \cdot 273.15K})))

Next Step Prepare to Evaluate

∴

K h = 15 \cdot (\exp (- (\frac{3.2E-18}{8.3145 \cdot 273.15})))

LAST Step Evaluate

∴

K h = 15Hz

Arrhenius Equation Formula Elements

Variables

Constants

Functions

Rate Constant

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.

Symbol: K_h

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Rate Constant

Pre-Exponential Factor

The Pre-Exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient.

Symbol: A

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Pre-Exponential Factor

Activation Energy

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.

Symbol: E_a

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation Energy

Absolute Temperature

Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.

Symbol: T_abs

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Absolute Temperature

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

exp

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

Syntax: exp(Number)

Other formulas in Arrhenius Equation category

Go Pre-exponential Factor in Arrhenius Equation

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

Go Arrhenius Equation for Forward Reaction

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

Go Pre-exponential Factor in Arrhenius Equation for Forward Reaction

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

Go Arrhenius Equation for Backward Equation

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

How to Evaluate Arrhenius Equation?

Arrhenius Equation evaluator uses Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))) to evaluate 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 evaluate Arrhenius Equation using this online evaluator? To use this online evaluator for Arrhenius Equation, enter Pre-Exponential Factor (A), Activation Energy (E_a) & Absolute Temperature (T_abs) and hit the calculate button.

FAQs on Arrhenius Equation

What is the formula to find Arrhenius Equation?

The formula of Arrhenius Equation is expressed as Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). Here is an example- 15 = 15*(exp(-(3.20435466000001E-18/([R]*273.15)))).

How to calculate Arrhenius Equation?

With Pre-Exponential Factor (A), Activation Energy (E_a) & Absolute Temperature (T_abs) we can find Arrhenius Equation using the formula - Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature)))). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

Can the Arrhenius Equation be negative?

Yes, the Arrhenius Equation, measured in Frequency can be negative.

Which unit is used to measure Arrhenius Equation?

Arrhenius Equation is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Arrhenius Equation can be measured.

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Arrhenius Equation Formula

Arrhenius Equation Example

Arrhenius Equation Solution

Arrhenius Equation Formula Elements

Other formulas in Arrhenius Equation category

How to Evaluate Arrhenius Equation?

FAQs on Arrhenius Equation

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