Arrhenius Equation Calculator

Check out the simple steps to calculate the reaction rate using the Arrhenius Equation.

• Get the Arrhenius constant, temperature and activation energy.
• Find the product of Boltzmann constant, temperature.
• Divide activation energy by the product and find the exponential of the result.
• Again multiply the result by the constant to find the rate of reaction.

The Arrhenius equation explains how the rate of a reaction varied based on the temperature or rate constant. The general formula of the Arrhenius equation is along the lines.

k = A x e(-Ea/(kB x T))

Where,

k is the rate constant

A is the pre-exponential factor of Arrhenius constant

Ea is the activation energy

R is the universal gas constant i.e 8.314 J/K mol

T is the temperature

We know that the Arrhenius equation defines the relationship between the rate constant and temperature. The multiplication of universal gas constant, temperature defines the energy of the molecules. Dividing activation energy by the products gives the number of collisions that occur with sufficient energy to overcome the activation energy requirements. The activation energy is inversely proportional to the number of successful collisions.

When the reaction temperature increases, the number of successful collisions also increases exponentially. The Arrhenius equation deals with the substance on a per mole basis. The exponential Arrhenius equation is k = A x e(-Ea/(kB x T)).

The Arrhenius equation in logarithamic form is given here:

ln(k) = (-E/R)*(1/T) + ln(A)

Example:

Question: The activation energy of a chemical reaction is 100 kJ/mol and its factor is 10 1/Ms. Find the rate constant of this equation at a temperature of 300 K.

Answer:

Given that

Activation energy Ea = 100 kJ/mol = 100000 J/mol

Arrhenius constant A = 10 1/Ms

Temperature T = 300 K

Arrhenius equation is k = A x e(-Ea/(kB x T))

k = 10 x e(-100000/(8.314 x 300)

= 10 x e(-100000/(2494.2)

= 10 x e-40.09

= 10 x 3.882 x 10-18

= 3.882 x 10-17

Therefore, the reaction rate is 3.882 x 10-17 1/Ms.

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1. What is kB is Arrhenius Equation?

Arrhenius Equation is k = A x e(-Ea/(kB x T)). Here, kB is the Boltzmann constant and its value is 1.380649 x 10-23 J/K.

2. What is the importance of the Arrhenius Equation?

The Arrhenius Equation importance is provided here:

• The equation allows to account for the factors which have an impact on the rate of the reaction that can't be calculated using the rate law.
• One can determine the effect of the energy barrier, temperature, frequency, catalyst pressure, the orientation of collisions using this equation.

3. What are the real-life examples of the Arrhenius Equation?

Some of the real-life examples are milk turns sour faster when kept in room temperature instead of keeping in the refrigerator, butter goes rancid faster in the summer than in the winter, eggs hard-boil much faster at sea level compared to the mountains.

4. How to find the Arrhenius Equation?

Check the Arrhenius constant, activation energy, and temperature. Multiply the Boltzmann constant with the temperature and divide the negative of activation energy by the product. Find the exponential of the result and multiply it with the constant to check the rate constant value.