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Pre-Exponential Factor for Backward Reaction using Arrhenius equation Formula

GoPre-exponential Factor in Arrhenius Equation for Backward Reaction Formula

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Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction. Check FAQs

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

A_b - Backward Pre-exponential factor?A_f - Forward Pre-exponential Factor?K_b - Backward Reaction Rate Constant?K_f - Forward reaction rate constant?E_ab - Activation Energy Backward?E_af - Activation Energy Forward?T_abs - Absolute Temperature?[R] - Universal gas constant?

Pre-Exponential Factor for Backward Reaction using Arrhenius equation Example

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Here is how the Pre-Exponential Factor for Backward Reaction using Arrhenius equation equation looks like with Values.

Here is how the Pre-Exponential Factor for Backward Reaction using Arrhenius equation equation looks like with Units.

Here is how the Pre-Exponential Factor for Backward Reaction using Arrhenius equation equation looks like.

35 = (\frac{100 \cdot 70}{200}) \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})

351/s = (\frac{1001/s \cdot 70mol/L}{200mol/L}) \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})

35 = (\frac{100 \cdot 70}{200}) \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})

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Pre-Exponential Factor for Backward Reaction using Arrhenius equation Solution

Follow our step by step solution on how to calculate Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A b = (\frac{1001/s \cdot 70mol/L}{200mol/L}) \cdot \exp (\frac{250eV - 150eV}{[R] \cdot 273.15K})

Next Step Substitute values of Constants

∴

A b = (\frac{1001/s \cdot 70mol/L}{200mol/L}) \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})

Next Step Convert Units

∴

A b = (\frac{1001/s \cdot 70000mol/m³}{200000mol/m³}) \cdot \exp (\frac{4E-17J - 2.4E-17J}{8.3145 \cdot 273.15K})

Next Step Prepare to Evaluate

∴

A b = (\frac{100 \cdot 70000}{200000}) \cdot \exp (\frac{4E-17 - 2.4E-17}{8.3145 \cdot 273.15})

LAST Step Evaluate

∴

A b = 351/s

Pre-Exponential Factor for Backward Reaction using Arrhenius equation Formula Elements

Variables

Constants

Functions

Backward Pre-exponential factor

Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction.

Symbol: A_b

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Backward Pre-exponential factor

Forward Pre-exponential Factor

Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction.

Symbol: A_f

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Forward Pre-exponential Factor

Backward Reaction Rate Constant

Backward Reaction Rate Constant is the rate of backward reaction.

Symbol: K_b

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Backward Reaction Rate Constant

Forward reaction rate constant

Forward reaction rate constant is the rate of forward reaction.

Symbol: K_f

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Forward reaction rate constant

Activation Energy Backward

Activation Energy Backward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation for a backward reaction.

Symbol: E_ab

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation Energy Backward

Activation Energy Forward

Activation Energy Forward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation in a forward reaction.

Symbol: E_af

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation Energy Forward

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 to find Backward Pre-exponential factor

Go Pre-exponential Factor in Arrhenius Equation for Backward Reaction

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

Other formulas in Arrhenius Equation category

Go Arrhenius Equation

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

Go Pre-exponential Factor in Arrhenius Equation

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

How to Evaluate Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

Pre-Exponential Factor for Backward Reaction using Arrhenius equation evaluator uses Backward Pre-exponential factor = ((Forward Pre-exponential Factor*Backward Reaction Rate Constant)/Forward reaction rate constant)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)) to evaluate the Backward Pre-exponential factor, The Pre-Exponential Factor for Backward Reaction using Arrhenius equation formula is defined as an empirical relationship between temperature, T and rate coefficient, k for a backward reaction. Backward Pre-exponential factor is denoted by A_b symbol.

How to evaluate Pre-Exponential Factor for Backward Reaction using Arrhenius equation using this online evaluator? To use this online evaluator for Pre-Exponential Factor for Backward Reaction using Arrhenius equation, enter Forward Pre-exponential Factor (A_f), Backward Reaction Rate Constant (K_b), Forward reaction rate constant (K_f), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) and hit the calculate button.

FAQs on Pre-Exponential Factor for Backward Reaction using Arrhenius equation

What is the formula to find Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

The formula of Pre-Exponential Factor for Backward Reaction using Arrhenius equation is expressed as Backward Pre-exponential factor = ((Forward Pre-exponential Factor*Backward Reaction Rate Constant)/Forward reaction rate constant)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)). Here is an example- 35 = ((100*70000)/200000)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15)).

How to calculate Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

With Forward Pre-exponential Factor (A_f), Backward Reaction Rate Constant (K_b), Forward reaction rate constant (K_f), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) we can find Pre-Exponential Factor for Backward Reaction using Arrhenius equation using the formula - Backward Pre-exponential factor = ((Forward Pre-exponential Factor*Backward Reaction Rate Constant)/Forward reaction rate constant)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Backward Pre-exponential factor?

Here are the different ways to Calculate Backward Pre-exponential factor-

Backward Pre-exponential factor=Backward Reaction Rate Constant/exp(-(Activation Energy Backward/([R]*Absolute Temperature)))

Can the Pre-Exponential Factor for Backward Reaction using Arrhenius equation be negative?

Yes, the Pre-Exponential Factor for Backward Reaction using Arrhenius equation, measured in Vorticity can be negative.

Which unit is used to measure Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

Pre-Exponential Factor for Backward Reaction using 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 for Backward Reaction using Arrhenius equation can be measured.

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Pre-Exponential Factor for Backward Reaction using Arrhenius equation Formula

​GoPre-exponential Factor in Arrhenius Equation for Backward Reaction Formula

Pre-Exponential Factor for Backward Reaction using Arrhenius equation Example

Pre-Exponential Factor for Backward Reaction using Arrhenius equation Solution

Pre-Exponential Factor for Backward Reaction using Arrhenius equation Formula Elements

Other Formulas to find Backward Pre-exponential factor

Other formulas in Arrhenius Equation category

How to Evaluate Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

FAQs on Pre-Exponential Factor for Backward Reaction using Arrhenius equation

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GoPre-exponential Factor in Arrhenius Equation for Backward Reaction Formula