Rate Constant for Backward Reaction Calculator

✖Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.ⓘ Forward Reaction Rate Constant [k_f]			+10% -10%
✖Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.ⓘ Initial Concentration of Reactant A [A₀]			+10% -10%
✖Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.ⓘ Concentration of Reactant at Equilibrium [x_eq]			+10% -10%

✖Rate Constant of Backward Reaction for 2nd Order is the proportionality constant relating the rate of the chemical reaction to the conc. of reactant or product in a backward reaction.ⓘ Rate Constant for Backward Reaction [k_brc']

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Formula

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Rate Constant for Backward Reaction

Formula

`("k"_{"brc"}"'") = "k"_{"f"}*("A"_{"0"}-"x"_{"eq"})/"x"_{"eq"}^2`

Example

`"6E^-7L/(mol*s)"="0.0000974s⁻¹"*("100mol/L"-"70mol/L")/("70mol/L")^2`

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Rate Constant for Backward Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2
k_brc' = k_f*(A₀-x_eq)/x_eq^2
This formula uses 4 Variables

Variables Used

Rate Constant of Backward Reaction - (Measured in Cubic Meter per Mole Second) - Rate Constant of Backward Reaction for 2nd Order is the proportionality constant relating the rate of the chemical reaction to the conc. of reactant or product in a backward reaction.
Forward Reaction Rate Constant - (Measured in 1 Per Second) - Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.
Initial Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.
Concentration of Reactant at Equilibrium - (Measured in Mole per Cubic Meter) - Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.

STEP 1: Convert Input(s) to Base Unit

Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Concentration of Reactant at Equilibrium: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_brc' = k_f*(A₀-x_eq)/x_eq^2 --> 9.74E-05*(100000-70000)/70000^2

Evaluating ... ...

k_brc' = 5.96326530612245E-10

STEP 3: Convert Result to Output's Unit

5.96326530612245E-10 Cubic Meter per Mole Second -->5.96326530612245E-07 Liter per Mole Second (Check conversion here)

FINAL ANSWER

5.96326530612245E-07 ≈ 6E-7 Liter per Mole Second <-- Rate Constant of Backward Reaction

(Calculation completed in 00.004 seconds)

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< 3 First Order Opposed by Second Order Reactions Calculators

Time Taken for Completion of Reaction

Go Time = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Rate Constant for Forward Reaction

Go Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Rate Constant for Backward Reaction

Go Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2

< 23 Important Formulas on Reversible Reaction Calculators

Time taken for 2nd Order Opposed by 2nd Order Reaction given Initial Conc of Reactant B

Go Time for 2nd Order = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium^2/(2*Initial Concentration of Reactant B*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium)))*ln((Concentration of Product at Time t*(Initial Concentration of Reactant B-2*Concentration of Reactant at Equilibrium)+Initial Concentration of Reactant B*Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant B*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Forward Rxn Rate Const for 2nd Order Opposed by 2nd Order Rxn given Ini Conc of Reactant A

Go Forward Reaction Rate Constant given A = (1/Time)*(Concentration of Reactant at Equilibrium^2/(2*Initial Concentration of Reactant A*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)))*ln((Concentration of Product at Time t*(Initial Concentration of Reactant A-2*Concentration of Reactant at Equilibrium)+Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Time Taken for Completion of Reaction

Rate Constant for Forward Reaction

Time taken for 2nd Order Opposed by 1st Order Reaction given Initial Conc of Reactant A

Go Time = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium/((Initial Concentration of Reactant A^2)-(Concentration of Reactant at Equilibrium^2)))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B

Go Forward Reaction Rate Constant given B = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant B^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant B^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant B^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))

Reactant Concentration at given Time t

Go Concentration of A at Time t = Initial Concentration of Reactant A*(Forward Reaction Rate Constant/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*((Backward Reaction Rate Constant/Forward Reaction Rate Constant)+exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Time taken when Initial Concentration of Reactant B greater than 0

Go Time = 1/Forward Reaction Rate Constant*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))*((Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A+Initial Concentration of Reactant B))

Product Conc for 1st Order Opposed by 1st Order Rxn given Initial Conc of B greater than 0

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*((Initial Concentration of Reactant A+Initial Concentration of Reactant B)/(Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium))*Time))

Backward Reaction Rate Constant for 2nd Order Opposed by 2nd Order Reaction

Go Backward Reaction Rate Constant for 2nd Order = Forward Reaction Rate Constant for 2nd Order*((Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium))/Concentration of Reactant at Equilibrium^2

Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction

Go Rate Constant for Backward Reaction = Forward Reaction Rate Constant for 2nd Order*((Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium))/Concentration of Reactant at Equilibrium

Time taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant

Go Time = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/Initial Concentration of Reactant A)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))

Concentration of Reactant A given kf and kb

Go Concentration of Reactant A at Equilibrium = Backward Reaction Rate Constant for 2nd Order/Forward Reaction Rate Constant for 2nd Order*((Concentration of Product C at Equilibrium*Concentration of Product D at Equilibrium)/Concentration of Reactant B at Equilibrium)

Concentration of Reactant B given kf and kb

Go Concentration of Reactant B at Equilibrium = Backward Reaction Rate Constant for 2nd Order/Forward Reaction Rate Constant for 2nd Order*((Concentration of Product C at Equilibrium*Concentration of Product D at Equilibrium)/Concentration of Reactant A at Equilibrium)

Concentration of Product C given kf and kb

Go Concentration of Product C at Equilibrium = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order*((Concentration of Reactant A at Equilibrium*Concentration of Reactant B at Equilibrium)/Concentration of Product D at Equilibrium)

Concentration of Product D given kf and kb

Go Concentration of Product D at Equilibrium = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order*((Concentration of Reactant A at Equilibrium*Concentration of Reactant B at Equilibrium)/Concentration of Product C at Equilibrium)

Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium)))

Time taken for 1st Order Opposed by 1st Order Reaction

Go Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant)

Rate Constant for Backward Reaction

Go Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2

Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Forward Rate Constant given Keq and kb

Go Forward Reaction Rate Constant given kf and Keq = Equilibrium Constant for Second Order Reaction*Backward Reaction Rate Constant for 2nd Order

Backward Reaction Rate Constant given Keq and kf

Go Backward Reaction Rate Constant given kf and Keq = Equilibrium Constant*Forward Reaction Rate Constant for 2nd Order

Equilibrium Rate Constant given kf and kb

Go Equilibrium Constant = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order

Rate Constant for Backward Reaction Formula

What is an Opposing Reaction?

Opposing reactions or reversible reactions are those in which both forward and backward reaction takes place simultaneously. To start with, the rate of forward reaction is very large and it decreases as reactant concentration decreases with time. Similarly, initially the rate of backward reaction is slow and it increases as product concentration increases with time. The state at which the rate of forward reaction equals the rate of backward reaction is called the equilibrium state. Thus, equilibrium is a dynamic equilibrium where all the participants of a reaction are being formed as fast as they are being destroyed and hence no further change in the various concentrations is observed.

What are the classifications of Opposing Reactions?

A reversible reaction may be classified on the basis of orders of elementary forward and backward reactions. We describe below a few reversible reactions classified accordingly:
1. First Order Opposed by First Order Reaction
2. First Order Opposed by Second Order Reaction
3. Second Order Opposed by First Order Reaction
4. Second Order Opposed by Second Order Reaction.

How to Calculate Rate Constant for Backward Reaction?

Rate Constant for Backward Reaction calculator uses Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2 to calculate the Rate Constant of Backward Reaction, The Rate Constant for Backward Reaction formula is defined as the proportionality constant relating the rate of the chemical reaction at a given temperature to the concentration of the reactant or product in a backward reaction. Rate Constant of Backward Reaction is denoted by k_brc' symbol.

How to calculate Rate Constant for Backward Reaction using this online calculator? To use this online calculator for Rate Constant for Backward Reaction, enter Forward Reaction Rate Constant (k_f), Initial Concentration of Reactant A (A₀) & Concentration of Reactant at Equilibrium (x_eq) and hit the calculate button. Here is how the Rate Constant for Backward Reaction calculation can be explained with given input values -> 6E-10 = 9.74E-05*(100000-70000)/70000^2.

FAQ

What is Rate Constant for Backward Reaction?

The Rate Constant for Backward Reaction formula is defined as the proportionality constant relating the rate of the chemical reaction at a given temperature to the concentration of the reactant or product in a backward reaction and is represented as k_brc' = k_f*(A₀-x_eq)/x_eq^2 or Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2. Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction, Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0 & Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.

How to calculate Rate Constant for Backward Reaction?

The Rate Constant for Backward Reaction formula is defined as the proportionality constant relating the rate of the chemical reaction at a given temperature to the concentration of the reactant or product in a backward reaction is calculated using Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2. To calculate Rate Constant for Backward Reaction, you need Forward Reaction Rate Constant (k_f), Initial Concentration of Reactant A (A₀) & Concentration of Reactant at Equilibrium (x_eq). With our tool, you need to enter the respective value for Forward Reaction Rate Constant, Initial Concentration of Reactant A & Concentration of Reactant at Equilibrium and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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