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Pre-Exponential Factor for Backward Reaction using Arrhenius equation Calculator

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✖Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction.ⓘ Forward Pre-exponential Factor [A_f]			+10% -10%
✖Backward Reaction Rate Constant is the rate of backward reaction.ⓘ Backward Reaction Rate Constant [K_b]			+10% -10%
✖Forward reaction rate constant is the rate of forward reaction.ⓘ Forward reaction rate constant [K_f]			+10% -10%
✖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.ⓘ Activation Energy Backward [E_ab]			+10% -10%
✖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.ⓘ Activation Energy Forward [E_af]			+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%

✖Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction.ⓘ Pre-Exponential Factor for Backward Reaction using Arrhenius equation [A_b]

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Pre-Exponential Factor for Backward Reaction using Arrhenius equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A_b = ((A_f*K_b)/K_f)*exp((E_ab-E_af)/([R]*T_abs))
This formula uses 1 Constants, 1 Functions, 7 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

Backward Pre-exponential factor - (Measured in 1 per Second) - Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction.
Forward Pre-exponential Factor - (Measured in 1 per Second) - Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction.
Backward Reaction Rate Constant - (Measured in Mole per Cubic Meter) - Backward Reaction Rate Constant is the rate of backward reaction.
Forward reaction rate constant - (Measured in Mole per Cubic Meter) - Forward reaction rate constant is the rate of forward reaction.
Activation Energy Backward - (Measured in Joule) - 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.
Activation Energy Forward - (Measured in Joule) - 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.
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

Forward Pre-exponential Factor: 100 1 per Second --> 100 1 per Second No Conversion Required
Backward Reaction Rate Constant: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)
Forward reaction rate constant: 200 Mole per Liter --> 200000 Mole per Cubic Meter (Check conversion here)
Activation Energy Backward: 250 Electron-Volt --> 4.00544332500002E-17 Joule (Check conversion here)
Activation Energy Forward: 150 Electron-Volt --> 2.40326599500001E-17 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_b = ((A_f*K_b)/K_f)*exp((E_ab-E_af)/([R]*T_abs)) --> ((100*70000)/200000)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15))

Evaluating ... ...

A_b = 35

STEP 3: Convert Result to Output's Unit

35 1 per Second --> No Conversion Required

FINAL ANSWER

35 1 per Second <-- Backward Pre-exponential factor

(Calculation completed in 00.020 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 for Backward Reaction using Arrhenius equation Formula

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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 for Backward Reaction using Arrhenius equation?

Pre-Exponential Factor for Backward Reaction using Arrhenius equation calculator 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 calculate 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 calculate Pre-Exponential Factor for Backward Reaction using Arrhenius equation using this online calculator? To use this online calculator 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. Here is how the Pre-Exponential Factor for Backward Reaction using Arrhenius equation calculation can be explained with given input values -> 35 = ((100*70000)/200000)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15)).

FAQ

What is Pre-Exponential Factor for Backward Reaction using Arrhenius equation?

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 and is represented as A_b = ((A_f*K_b)/K_f)*exp((E_ab-E_af)/([R]*T_abs)) or 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)). Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction, Backward Reaction Rate Constant is the rate of backward reaction, Forward reaction rate constant is the rate of forward reaction, 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, 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 & Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.

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

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 is calculated using 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 calculate Pre-Exponential Factor for Backward Reaction using Arrhenius equation, you need 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). With our tool, you need to enter the respective value for Forward Pre-exponential Factor, Backward Reaction Rate Constant, Forward reaction rate constant, Activation Energy Backward, Activation Energy Forward & Absolute Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Backward Pre-exponential factor?

In this formula, Backward Pre-exponential factor uses Forward Pre-exponential Factor, Backward Reaction Rate Constant, Forward reaction rate constant, Activation Energy Backward, Activation Energy Forward & Absolute Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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