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Backward Reaction Rate Constant using Arrhenius Equation Formula

GoArrhenius Equation for Backward Equation Formula

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Backward Reaction Rate Constant is the rate of backward reaction. Check FAQs

K b = \frac{K f \cdot A b}{A f \cdot \exp (\frac{E ab - E af}{[R] \cdot T abs})}

K_b - Backward Reaction Rate Constant?K_f - Forward reaction rate constant?A_b - Backward Pre-exponential factor?A_f - Forward Pre-exponential Factor?E_ab - Activation Energy Backward?E_af - Activation Energy Forward?T_abs - Absolute Temperature?[R] - Universal gas constant?

Backward Reaction Rate Constant using Arrhenius Equation Example

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Here is how the Backward Reaction Rate Constant using Arrhenius Equation equation looks like with Values.

Here is how the Backward Reaction Rate Constant using Arrhenius Equation equation looks like with Units.

Here is how the Backward Reaction Rate Constant using Arrhenius Equation equation looks like.

20 = \frac{200 \cdot 10}{100 \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})}

20mol/L = \frac{200mol/L \cdot 101/s}{1001/s \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})}

20 = \frac{200 \cdot 10}{100 \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})}

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Backward Reaction Rate Constant using Arrhenius Equation Solution

Follow our step by step solution on how to calculate Backward Reaction Rate Constant using Arrhenius Equation?

FIRST Step Consider the formula

K b = \frac{K f \cdot A b}{A f \cdot \exp (\frac{E ab - E af}{[R] \cdot T abs})}

Next Step Substitute values of Variables

∴

K b = \frac{200mol/L \cdot 101/s}{1001/s \cdot \exp (\frac{250eV - 150eV}{[R] \cdot 273.15K})}

Next Step Substitute values of Constants

∴

K b = \frac{200mol/L \cdot 101/s}{1001/s \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})}

Next Step Convert Units

∴

K b = \frac{200000mol/m³ \cdot 101/s}{1001/s \cdot \exp (\frac{4E-17J - 2.4E-17J}{8.3145 \cdot 273.15K})}

Next Step Prepare to Evaluate

∴

K b = \frac{200000 \cdot 10}{100 \cdot \exp (\frac{4E-17 - 2.4E-17}{8.3145 \cdot 273.15})}

Next Step Evaluate

∴

K b = 20000mol/m³

LAST Step Convert to Output's Unit

∴

K b = 20mol/L

Backward Reaction Rate Constant using Arrhenius Equation Formula Elements

Variables

Constants

Functions

Backward Reaction Rate Constant

Backward Reaction Rate Constant is the rate of backward reaction.

Symbol: K_b

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Backward Reaction Rate Constant

Forward reaction rate constant

Forward reaction rate constant is the rate of forward reaction.

Symbol: K_f

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Forward reaction rate constant

Backward Pre-exponential factor

Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction.

Symbol: A_b

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Backward Pre-exponential factor

Forward Pre-exponential Factor

Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction.

Symbol: A_f

Measurement: VorticityUnit: 1/s

Note: Value can be positive or negative.

Formulas to find Forward Pre-exponential Factor

Activation Energy Backward

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.

Symbol: E_ab

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation Energy Backward

Activation Energy Forward

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.

Symbol: E_af

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation Energy Forward

Absolute Temperature

Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.

Symbol: T_abs

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Absolute Temperature

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Backward Reaction Rate Constant

Go Arrhenius Equation for Backward Equation

K b = A b \cdot \exp (- (\frac{E ab}{[R] \cdot T abs}))

Other formulas in Arrhenius Equation category

Go Arrhenius Equation

K h = A \cdot (\exp (- (\frac{E a}{[R] \cdot T abs})))

Go Pre-exponential Factor in Arrhenius Equation

A = \frac{K h}{\exp (- (\frac{E a}{[R] \cdot T abs}))}

How to Evaluate Backward Reaction Rate Constant using Arrhenius Equation?

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

FAQs on Backward Reaction Rate Constant using Arrhenius Equation

What is the formula to find Backward Reaction Rate Constant using Arrhenius Equation?

The formula of Backward Reaction Rate Constant using Arrhenius Equation is expressed as 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))). Here is an example- 0.02 = (200000*10)/(100*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15))).

How to calculate Backward Reaction Rate Constant using Arrhenius Equation?

With 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) we can find Backward Reaction Rate Constant using Arrhenius Equation using the formula - 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))). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Backward Reaction Rate Constant?

Here are the different ways to Calculate Backward Reaction Rate Constant-

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

Can the Backward Reaction Rate Constant using Arrhenius Equation be negative?

Yes, the Backward Reaction Rate Constant using Arrhenius Equation, measured in Molar Concentration can be negative.

Which unit is used to measure Backward Reaction Rate Constant using Arrhenius Equation?

Backward Reaction Rate Constant using Arrhenius Equation is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Backward Reaction Rate Constant using Arrhenius Equation can be measured.

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Backward Reaction Rate Constant using Arrhenius Equation Formula

​GoArrhenius Equation for Backward Equation Formula

Backward Reaction Rate Constant using Arrhenius Equation Example

Backward Reaction Rate Constant using Arrhenius Equation Solution

Backward Reaction Rate Constant using Arrhenius Equation Formula Elements

Other Formulas to find Backward Reaction Rate Constant

Other formulas in Arrhenius Equation category

How to Evaluate Backward Reaction Rate Constant using Arrhenius Equation?

FAQs on Backward Reaction Rate Constant using Arrhenius Equation

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GoArrhenius Equation for Backward Equation Formula