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

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Rate Constant for Backward Reaction is the proportionality constant relating the rate of the chemical reaction to the conc. of reactant or product in a backward reaction. Check FAQs

k2 b' = k f' \cdot \frac{(A 0 - x eq) \cdot (B 0 - x eq)}{x eq}

k2_b' - Rate Constant for Backward Reaction?k_f' - Forward Reaction Rate Constant for 2nd Order?A₀ - Initial Concentration of Reactant A?x_eq - Concentration of Reactant at Equilibrium?B₀ - Initial Concentration of Reactant B?

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

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Here is how the Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction equation looks like with Values.

Here is how the Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction equation looks like with Units.

Here is how the Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction equation looks like.

0.0265 = 0.0062 \cdot \frac{(100 - 70) \cdot (80 - 70)}{70}

0.0265m³/(mol*s) = 0.0062L/(mol*s) \cdot \frac{(100mol/L - 70mol/L) \cdot (80mol/L - 70mol/L)}{70mol/L}

0.0265 = 0.0062 \cdot \frac{(100 - 70) \cdot (80 - 70)}{70}

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

Follow our step by step solution on how to calculate Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

FIRST Step Consider the formula

k2 b' = k f' \cdot \frac{(A 0 - x eq) \cdot (B 0 - x eq)}{x eq}

Next Step Substitute values of Variables

∴

k2 b' = 0.0062L/(mol*s) \cdot \frac{(100mol/L - 70mol/L) \cdot (80mol/L - 70mol/L)}{70mol/L}

Next Step Convert Units

∴

k2 b' = 6.2E-6m³/(mol*s) \cdot \frac{(100000mol/m³ - 70000mol/m³) \cdot (80000mol/m³ - 70000mol/m³)}{70000mol/m³}

Next Step Prepare to Evaluate

∴

k2 b' = 6.2E-6 \cdot \frac{(100000 - 70000) \cdot (80000 - 70000)}{70000}

Next Step Evaluate

∴

k2 b' = 0.0264857142857143m³/(mol*s)

LAST Step Rounding Answer

∴

k2 b' = 0.0265m³/(mol*s)

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

Variables

Rate Constant for Backward Reaction

Rate Constant for Backward Reaction is the proportionality constant relating the rate of the chemical reaction to the conc. of reactant or product in a backward reaction.

Symbol: k2_b'

Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)

Note: Value can be positive or negative.

Formulas to find Rate Constant for Backward Reaction

Forward Reaction Rate Constant for 2nd Order

Forward Reaction Rate Constant for 2nd Order 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: Second Order Reaction Rate ConstantUnit: L/(mol*s)

Note: Value should be greater than 0.

Formulas to find Forward Reaction Rate Constant for 2nd Order

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

Initial Concentration of Reactant B

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

Symbol: B₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant B

Other formulas in Second Order Opposed by First 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 Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction evaluator uses 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 to evaluate the Rate Constant for Backward Reaction, The Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order 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 for Backward Reaction is denoted by k2_b' symbol.

How to evaluate Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction using this online evaluator? To use this online evaluator for Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction, enter Forward Reaction Rate Constant for 2nd Order (k_f'), Initial Concentration of Reactant A (A₀), Concentration of Reactant at Equilibrium (x_eq) & Initial Concentration of Reactant B (B₀) and hit the calculate button.

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

What is the formula to find Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

The formula of Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction is expressed as 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. Here is an example- 0.026486 = 6.18E-06*((100000-70000)*(80000-70000))/70000.

How to calculate Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

With Forward Reaction Rate Constant for 2nd Order (k_f'), Initial Concentration of Reactant A (A₀), Concentration of Reactant at Equilibrium (x_eq) & Initial Concentration of Reactant B (B₀) we can find Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction using the formula - 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.

Can the Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction be negative?

Yes, the Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction is usually measured using the Cubic Meter per Mole Second[m³/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Kilomole Millisecond[m³/(mol*s)], Liter per Mole Second[m³/(mol*s)], Liter per Mole Millisecond[m³/(mol*s)] are the few other units in which Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction can be measured.

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

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

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

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

Other formulas in Second Order Opposed by First Order Reactions category

How to Evaluate Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction?

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

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