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Equilibrium Constant using Arrhenius Equation Formula

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Equilibrium Constant is the value of its reaction quotient at chemical equilibrium. Check FAQs

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

K_c - Equilibrium Constant?A_f - Forward Pre-exponential Factor?A_b - Backward Pre-exponential factor?E_ab - Activation Energy Backward?E_af - Activation Energy Forward?T_abs - Absolute Temperature?[R] - Universal gas constant?

Equilibrium Constant using Arrhenius Equation Example

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Here is how the Equilibrium Constant using Arrhenius Equation equation looks like with Values.

Here is how the Equilibrium Constant using Arrhenius Equation equation looks like with Units.

Here is how the Equilibrium Constant using Arrhenius Equation equation looks like.

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

0.01mol/L = (\frac{1001/s}{101/s}) \cdot \exp (\frac{250eV - 150eV}{8.3145 \cdot 273.15K})

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

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Equilibrium Constant using Arrhenius Equation Solution

Follow our step by step solution on how to calculate Equilibrium Constant using Arrhenius Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

K c = 10mol/m³

LAST Step Convert to Output's Unit

∴

K c = 0.01mol/L

Equilibrium Constant using Arrhenius Equation Formula Elements

Variables

Constants

Functions

Equilibrium Constant

Equilibrium Constant is the value of its reaction quotient at chemical equilibrium.

Symbol: K_c

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Equilibrium Constant

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

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

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 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}))}

Go Arrhenius Equation for Forward Reaction

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

Go Pre-exponential Factor in Arrhenius Equation for Forward Reaction

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

How to Evaluate Equilibrium Constant using Arrhenius Equation?

Equilibrium Constant using Arrhenius Equation evaluator uses Equilibrium Constant = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)) to evaluate the Equilibrium Constant, The Equilibrium Constant using Arrhenius Equation is the value of its reaction quotient at chemical equilibrium, a state approached by a dynamic chemical system after sufficient time has elapsed at which its composition has no measurable tendency towards further change. Equilibrium Constant is denoted by K_c symbol.

How to evaluate Equilibrium Constant using Arrhenius Equation using this online evaluator? To use this online evaluator for Equilibrium Constant using Arrhenius Equation, enter Forward Pre-exponential Factor (A_f), 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 Equilibrium Constant using Arrhenius Equation

What is the formula to find Equilibrium Constant using Arrhenius Equation?

The formula of Equilibrium Constant using Arrhenius Equation is expressed as Equilibrium Constant = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute Temperature)). Here is an example- 1E-5 = (100/10)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*273.15)).

How to calculate Equilibrium Constant using Arrhenius Equation?

With Forward Pre-exponential Factor (A_f), Backward Pre-exponential factor (A_b), Activation Energy Backward (E_ab), Activation Energy Forward (E_af) & Absolute Temperature (T_abs) we can find Equilibrium Constant using Arrhenius Equation using the formula - Equilibrium Constant = (Forward Pre-exponential Factor/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).

Can the Equilibrium Constant using Arrhenius Equation be negative?

Yes, the Equilibrium Constant using Arrhenius Equation, measured in Molar Concentration can be negative.

Which unit is used to measure Equilibrium Constant using Arrhenius Equation?

Equilibrium 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 Equilibrium Constant using Arrhenius Equation can be measured.

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Equilibrium Constant using Arrhenius Equation Formula

Equilibrium Constant using Arrhenius Equation Example

Equilibrium Constant using Arrhenius Equation Solution

Equilibrium Constant using Arrhenius Equation Formula Elements

Other formulas in Arrhenius Equation category

How to Evaluate Equilibrium Constant using Arrhenius Equation?

FAQs on Equilibrium Constant using Arrhenius Equation

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