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Forward Reaction Rate Constant using Arrhenius Equation Formula

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GoArrhenius Equation for Forward Reaction Formula

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Forward reaction rate constant is the rate of forward reaction. Check FAQs

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

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

Forward Reaction Rate Constant using Arrhenius Equation Example

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

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

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

700 = (\frac{100 \cdot 70}{10}) \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})

700mol/L = (\frac{1001/s \cdot 70mol/L}{101/s}) \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})

700 = (\frac{100 \cdot 70}{10}) \cdot \exp (\frac{250 - 150}{8.3145 \cdot 273.15})

Tip: Use pencil () icon above to edit Input Values and Units.

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Home » Chemistry » Chemical Kinetics » Arrhenius Equation » Forward Reaction Rate Constant using Arrhenius Equation

Forward Reaction Rate Constant using Arrhenius Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K f = (\frac{1001/s \cdot 70mol/L}{101/s}) \cdot \exp (\frac{250eV - 150eV}{[R] \cdot 273.15K})

Next Step Substitute values of Constants

∴

K f = (\frac{1001/s \cdot 70mol/L}{101/s}) \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})

Next Step Convert Units

∴

K f = (\frac{1001/s \cdot 70000mol/m³}{101/s}) \cdot \exp (\frac{4E-17J - 2.4E-17J}{8.3145 \cdot 273.15K})

Next Step Prepare to Evaluate

∴

K f = (\frac{100 \cdot 70000}{10}) \cdot \exp (\frac{4E-17 - 2.4E-17}{8.3145 \cdot 273.15})

Next Step Evaluate

∴

K f = 700000mol/m³

LAST Step Convert to Output's Unit

∴

K f = 700mol/L

Forward Reaction Rate Constant using Arrhenius Equation Formula Elements

Variables

Constants

Functions

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.

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.

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.

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.

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.

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.

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.

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)

Credits

Creator Image

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Formula and 500+ more formulas!

Verifier Image

Verified by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has verified this Formula and 300+ more formulas!

Other Formulas to find Forward reaction rate constant

Go Arrhenius Equation for Forward Reaction

K f = A f \cdot \exp (- (\frac{E af}{[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}))}

See More

How to Evaluate Forward Reaction Rate Constant using Arrhenius Equation?

Forward Reaction Rate Constant using Arrhenius Equation evaluator uses 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)) to evaluate the Forward reaction rate constant, The Forward Reaction Rate Constant using Arrhenius Equation formula is defined as the rate of the forward reaction in chemical equilibrium. Forward reaction rate constant is denoted by K_f symbol.

How to evaluate Forward Reaction Rate Constant using Arrhenius Equation using this online evaluator? To use this online evaluator for Forward Reaction Rate Constant using Arrhenius Equation, enter Forward Pre-exponential Factor (A_f), Backward Reaction Rate Constant (K_b), Backward Pre-exponential factor (A_b), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) and hit the calculate button.

FAQs on Forward Reaction Rate Constant using Arrhenius Equation

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

The formula of Forward Reaction Rate Constant using Arrhenius Equation is expressed as 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)). Here is an example- 0.7 = ((100*70000)/10)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15)).

How to calculate Forward Reaction Rate Constant using Arrhenius Equation?

With Forward Pre-exponential Factor (A_f), Backward Reaction Rate Constant (K_b), Backward Pre-exponential factor (A_b), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) we can find Forward Reaction Rate Constant using Arrhenius Equation using the formula - 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)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Forward reaction rate constant?

Here are the different ways to Calculate Forward reaction rate constant-

Forward reaction rate constant=Forward Pre-exponential Factor*exp(-(Activation Energy Forward/([R]*Absolute Temperature)))

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

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

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

Forward 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 Forward Reaction Rate Constant using Arrhenius Equation can be measured.

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