Frequency Factor Calculator

Formula

The formula to calculate the frequency factor is:

\[ FF = \frac{K}{e^{\left( -\frac{Ea}{R \cdot T} \right)}} \]

Where:

\(FF\) is the Frequency Factor
\(K\) is the reaction rate constant
\(Ea\) is the energy of activation (J)
\(T\) is the temperature (K)
\(R\) is the universal gas constant (8.314 J/(mol*K))

What is Frequency Factor?

The frequency factor, also known as the pre-exponential factor, is a term in the Arrhenius equation that represents the frequency of collisions between reactant molecules. It is used to describe the rate at which a chemical reaction occurs. The frequency factor is influenced by the orientation and energy of the reacting molecules and is crucial for understanding reaction kinetics.

Example Calculations

Example 1:

Reaction Rate Constant (K): 1.5
Energy of Activation (Ea): 50000 J
Temperature (T): 298 K

Using the formula:

\[ FF = \frac{1.5}{e^{\left( -\frac{50000}{8.314 \cdot 298} \right)}} \approx 8.72 \times 10^{8} \]

Example 2:

Reaction Rate Constant (K): 2.0
Energy of Activation (Ea): 60000 J
Temperature (T): 310 K

Using the formula:

\[ FF = \frac{2.0}{e^{\left( -\frac{60000}{8.314 \cdot 310} \right)}} \approx 2.58s \times 10^{10} \]