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Pre-exponential Factor in Arrhenius Equation Formula

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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. Check FAQs

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

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

Pre-exponential Factor in Arrhenius Equation Example

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Here is how the Pre-exponential Factor in Arrhenius Equation equation looks like with Values.

Here is how the Pre-exponential Factor in Arrhenius Equation equation looks like with Units.

Here is how the Pre-exponential Factor in Arrhenius Equation equation looks like.

1E-6 = \frac{1E-6}{\exp (- (\frac{20}{8.3145 \cdot 273.15}))}

1E-61/s = \frac{1E-6Hz}{\exp (- (\frac{20eV}{8.3145 \cdot 273.15K}))}

1E-6 = \frac{1E-6}{\exp (- (\frac{20}{8.3145 \cdot 273.15}))}

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Pre-exponential Factor in Arrhenius Equation Solution

Follow our step by step solution on how to calculate Pre-exponential Factor in Arrhenius Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{1E-6Hz}{\exp (- (\frac{20eV}{[R] \cdot 273.15K}))}

Next Step Substitute values of Constants

∴

A = \frac{1E-6Hz}{\exp (- (\frac{20eV}{8.3145 \cdot 273.15K}))}

Next Step Convert Units

∴

A = \frac{1E-6Hz}{\exp (- (\frac{3.2E-18J}{8.3145 \cdot 273.15K}))}

Next Step Prepare to Evaluate

∴

A = \frac{1E-6}{\exp (- (\frac{3.2E-18}{8.3145 \cdot 273.15}))}

Next Step Evaluate

∴

A = 1E-061/s

LAST Step Rounding Answer

∴

A = 1E-61/s

Pre-exponential Factor in Arrhenius Equation Formula Elements

Variables

Constants

Functions

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

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

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 Arrhenius Equation

K h = A \cdot (\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 Pre-exponential Factor in Arrhenius Equation?

Pre-exponential Factor in Arrhenius Equation evaluator uses Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature))) to evaluate 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 evaluate Pre-exponential Factor in Arrhenius Equation using this online evaluator? To use this online evaluator 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.

FAQs on Pre-exponential Factor in Arrhenius Equation

What is the formula to find Pre-exponential Factor in Arrhenius Equation?

The formula of Pre-exponential Factor in Arrhenius Equation is expressed as Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature))). Here is an example- 1E-6 = 1E-06/exp(-(3.20435466000001E-18/([R]*273.15))).

How to calculate Pre-exponential Factor in Arrhenius Equation?

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

Can the Pre-exponential Factor in Arrhenius Equation be negative?

Yes, the Pre-exponential Factor in Arrhenius Equation, measured in Vorticity can be negative.

Which unit is used to measure Pre-exponential Factor in Arrhenius Equation?

Pre-exponential Factor in Arrhenius Equation is usually measured using the 1 per Second[1/s] for Vorticity. 1 per Millisecond[1/s] are the few other units in which Pre-exponential Factor in Arrhenius Equation can be measured.

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Pre-exponential Factor in Arrhenius Equation Formula

Pre-exponential Factor in Arrhenius Equation Example

Pre-exponential Factor in Arrhenius Equation Solution

Pre-exponential Factor in Arrhenius Equation Formula Elements

Other formulas in Arrhenius Equation category

How to Evaluate Pre-exponential Factor in Arrhenius Equation?

FAQs on Pre-exponential Factor in Arrhenius Equation

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