Backward Reaction Rate Constant using Arrhenius Equation Calculator

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✖Forward reaction rate constant is the rate of forward reaction.ⓘ Forward reaction rate constant [K_f]			+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.ⓘ Backward Pre-exponential factor [A_b]			+10% -10%
✖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%
✖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 Reaction Rate Constant is the rate of backward reaction.ⓘ Backward Reaction Rate Constant using Arrhenius Equation [K_b]

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Formula

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Backward Reaction Rate Constant using Arrhenius Equation

Formula

`"K"_{"b"} = ("K"_{"f"}*"A"_{"b"})/("A"_{"f"}*exp(("E"_{"ab"}-"E"_{"af"})/("[R]"*"T"_{"abs"})))`

Example

`"20mol/L"=("200mol/L"*"10/s")/("100/s"*exp(("250eV"-"150eV")/("[R]"*"273.15K")))`

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Backward Reaction Rate Constant using Arrhenius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Backward Reaction Rate Constant = (Forward reaction rate constant*Backward Pre-exponential factor)/(Forward Pre-exponential Factor*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)))
K_b = (K_f*A_b)/(A_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 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.
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.
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 reaction rate constant: 200 Mole per Liter --> 200000 Mole per Cubic Meter (Check conversion here)
Backward Pre-exponential factor: 10 1 per Second --> 10 1 per Second No Conversion Required
Forward Pre-exponential Factor: 100 1 per Second --> 100 1 per Second No Conversion Required
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

K_b = (K_f*A_b)/(A_f*exp((E_ab-E_af)/([R]*T_abs))) --> (200000*10)/(100*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15)))

Evaluating ... ...

K_b = 20000

STEP 3: Convert Result to Output's Unit

20000 Mole per Cubic Meter -->20 Mole per Liter (Check conversion here)

FINAL ANSWER

20 Mole per Liter <-- Backward Reaction Rate Constant

(Calculation completed in 00.004 seconds)

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< 20 Arrhenius Equation Calculators

Pre-Exponential Factor for Backward Reaction using Arrhenius equation

Go 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))

Pre-Exponential Factor for Forward Reaction using Arrhenius Equation

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

Backward Reaction Rate Constant using Arrhenius Equation

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

Forward Reaction Rate Constant using Arrhenius Equation

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

Enthalpy of Chemical Reaction at Absolute Temperatures

Go Enthalpy of Reaction = log10(Equilibrium constant 2/Equilibrium constant 1)*(2.303*[R])*((Absolute Temperature*Absolute temperature 2)/(Absolute temperature 2-Absolute Temperature))

Enthalpy of Chemical Reaction using Equilibrium Constants

Go Enthalpy of Reaction = -(log10(Equilibrium constant 2/Equilibrium constant 1)*[R]*((Absolute Temperature*Absolute temperature 2)/(Absolute Temperature-Absolute temperature 2)))

Equilibrium Constant at Temperature T2

Go Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2))

Equilibrium Constant at Temperature T1

Go Equilibrium constant 1 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))

Equilibrium Constant using Arrhenius Equation

Go Equilibrium Constant = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))

Equilibrium Constant 2 using Activation Energy of Reaction

Go Equilibrium constant 2 = Equilibrium constant 1*exp(((Activation Energy Backward-Activation Energy Forward)/[R])*((1/Absolute temperature 2)-(1/Absolute Temperature)))

Equilibrium Constant 2 using Enthalpy of Reaction

Go Equilibrium constant 2 = Equilibrium constant 1*exp((-(Enthalpy of Reaction/[R]))*((1/Absolute temperature 2)-(1/Absolute Temperature)))

Pre-exponential Factor in Arrhenius Equation for Backward Reaction

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

Arrhenius Equation for Backward Equation

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

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)))

Activation Energy for Backward Reaction

Go Activation Energy Backward = Activation Energy Forward-Enthalpy of Reaction

Activation Energy for Forward Reaction

Go Activation Energy Forward = Enthalpy of Reaction+Activation Energy Backward

Enthalpy of Chemical Reaction

Go Enthalpy of Reaction = Activation Energy Forward-Activation Energy Backward

Backward Reaction Rate Constant using Arrhenius Equation Formula

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 Backward Reaction Rate Constant using Arrhenius Equation?

Backward Reaction Rate Constant using Arrhenius Equation calculator uses Backward Reaction Rate Constant = (Forward reaction rate constant*Backward Pre-exponential factor)/(Forward Pre-exponential Factor*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))) to calculate the Backward Reaction Rate Constant, The Backward Reaction Rate Constant using Arrhenius Equation formula is defined as the rate of backward reaction in chemical equilibrium. Backward Reaction Rate Constant is denoted by K_b symbol.

How to calculate Backward Reaction Rate Constant using Arrhenius Equation using this online calculator? To use this online calculator for Backward Reaction Rate Constant using Arrhenius Equation, enter Forward reaction rate constant (K_f), Backward Pre-exponential factor (A_b), Forward Pre-exponential Factor (A_f), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) and hit the calculate button. Here is how the Backward Reaction Rate Constant using Arrhenius Equation calculation can be explained with given input values -> 0.02 = (200000*10)/(100*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15))).

FAQ

What is Backward Reaction Rate Constant using Arrhenius Equation?

The Backward Reaction Rate Constant using Arrhenius Equation formula is defined as the rate of backward reaction in chemical equilibrium and is represented as K_b = (K_f*A_b)/(A_f*exp((E_ab-E_af)/([R]*T_abs))) or Backward Reaction Rate Constant = (Forward reaction rate constant*Backward Pre-exponential factor)/(Forward Pre-exponential Factor*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))). Forward reaction rate constant is the rate of forward reaction, 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 is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for 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 Backward Reaction Rate Constant using Arrhenius Equation?

The Backward Reaction Rate Constant using Arrhenius Equation formula is defined as the rate of backward reaction in chemical equilibrium is calculated using Backward Reaction Rate Constant = (Forward reaction rate constant*Backward Pre-exponential factor)/(Forward Pre-exponential Factor*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature))). To calculate Backward Reaction Rate Constant using Arrhenius Equation, you need Forward reaction rate constant (K_f), Backward Pre-exponential factor (A_b), Forward Pre-exponential Factor (A_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 reaction rate constant, Backward Pre-exponential factor, Forward Pre-exponential Factor, 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 Reaction Rate Constant?

In this formula, Backward Reaction Rate Constant uses Forward reaction rate constant, Backward Pre-exponential factor, Forward Pre-exponential Factor, 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 Reaction Rate Constant = Backward Pre-exponential factor*exp(-(Activation Energy Backward/([R]*Absolute Temperature)))

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