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Rate Constant for Backward Reaction Formula

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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. Check FAQs

k brc' = k f \cdot \frac{A 0 - x eq}{{x eq}^{2}}

k_brc' - Rate Constant of Backward Reaction?k_f - Forward Reaction Rate Constant?A₀ - Initial Concentration of Reactant A?x_eq - Concentration of Reactant at Equilibrium?

Rate Constant for Backward Reaction Example

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Here is how the Rate Constant for Backward Reaction equation looks like with Values.

Here is how the Rate Constant for Backward Reaction equation looks like with Units.

Here is how the Rate Constant for Backward Reaction equation looks like.

6E-7 = 9.7E-5 \cdot \frac{100 - 70}{70^{2}}

6E-7L/(mol*s) = 9.7E-5s⁻¹ \cdot \frac{100mol/L - 70mol/L}{{70mol/L}^{2}}

6E-7 = 9.7E-5 \cdot \frac{100 - 70}{70^{2}}

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Rate Constant for Backward Reaction Solution

Follow our step by step solution on how to calculate Rate Constant for Backward Reaction?

FIRST Step Consider the formula

k brc' = k f \cdot \frac{A 0 - x eq}{{x eq}^{2}}

Next Step Substitute values of Variables

∴

k brc' = 9.7E-5s⁻¹ \cdot \frac{100mol/L - 70mol/L}{{70mol/L}^{2}}

Next Step Convert Units

∴

k brc' = 9.7E-5s⁻¹ \cdot \frac{100000mol/m³ - 70000mol/m³}{{70000mol/m³}^{2}}

Next Step Prepare to Evaluate

∴

k brc' = 9.7E-5 \cdot \frac{100000 - 70000}{70000^{2}}

Next Step Evaluate

∴

k brc' = 5.96326530612245E-10m³/(mol*s)

Next Step Convert to Output's Unit

∴

k brc' = 5.96326530612245E-07L/(mol*s)

LAST Step Rounding Answer

∴

k brc' = 6E-7L/(mol*s)

Rate Constant for Backward Reaction Formula Elements

Variables

Rate Constant of Backward Reaction

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.

Symbol: k_brc'

Measurement: Second Order Reaction Rate ConstantUnit: L/(mol*s)

Note: Value can be positive or negative.

Formulas to find Rate Constant of Backward Reaction

Forward Reaction Rate Constant

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.

Symbol: k_f

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Forward Reaction Rate Constant

Initial Concentration of Reactant A

Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant A

Concentration of Reactant at Equilibrium

Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.

Symbol: x_eq

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Concentration of Reactant at Equilibrium

Other formulas in First Order Opposed by Second Order Reactions category

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

x = x eq \cdot (1 - \exp (- k f \cdot (\frac{A 0 + B 0}{B 0 + x eq}) \cdot t))

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

x = x eq \cdot (1 - \exp (- k f \cdot t \cdot (\frac{A 0}{x eq})))

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

x = x eq \cdot (1 - \exp (- (k f + k b) \cdot t))

Go Reactant Concentration at given Time t

A = A 0 \cdot (\frac{k f}{k f + k b}) \cdot ((\frac{k b}{k f}) + \exp (- (k f + k b) \cdot t))

How to Evaluate Rate Constant for Backward Reaction?

Rate Constant for Backward Reaction evaluator 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 evaluate 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 evaluate Rate Constant for Backward Reaction using this online evaluator? To use this online evaluator 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.

FAQs on Rate Constant for Backward Reaction

What is the formula to find Rate Constant for Backward Reaction?

The formula of Rate Constant for Backward Reaction is expressed as 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. Here is an example- 6E-10 = 9.74E-05*(100000-70000)/70000^2.

How to calculate Rate Constant for Backward Reaction?

With Forward Reaction Rate Constant (k_f), Initial Concentration of Reactant A (A₀) & Concentration of Reactant at Equilibrium (x_eq) we can find Rate Constant for Backward Reaction using the formula - 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.

Can the Rate Constant for Backward Reaction be negative?

Yes, the Rate Constant for Backward Reaction, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for Backward Reaction?

Rate Constant for Backward Reaction is usually measured using the Liter per Mole Second[L/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Mole Second[L/(mol*s)], Cubic Meter per Kilomole Millisecond[L/(mol*s)], Liter per Mole Millisecond[L/(mol*s)] are the few other units in which Rate Constant for Backward Reaction can be measured.

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Rate Constant for Backward Reaction Formula

Rate Constant for Backward Reaction Example

Rate Constant for Backward Reaction Solution

Rate Constant for Backward Reaction Formula Elements

Other formulas in First Order Opposed by Second Order Reactions category

How to Evaluate Rate Constant for Backward Reaction?

FAQs on Rate Constant for Backward Reaction

Variable Name