Activation Energy using Reaction Rate at Two Different Temperatures Calculator

Activation Energy Formula:

\[ E_a = R \times \ln\left(\frac{r_2}{r_1}\right) \times \frac{T_1 \times T_2}{T_2 - T_1} \]

Reaction Rate 1 (r₁):

mol/m³s

Reaction Rate 2 (r₂):

mol/m³s

Temperature 1 (T₁):

Temperature 2 (T₂):

Activation Energy (Eₐ):

J/mol

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1. What is Activation Energy?

Definition: Activation Energy is the minimum amount of energy required to initiate a chemical reaction.

Purpose: This calculator determines the activation energy by comparing reaction rates at two different temperatures.

2. How Does the Calculator Work?

The calculator uses the Arrhenius equation in this form:

\[ E_a = R \times \ln\left(\frac{r_2}{r_1}\right) \times \frac{T_1 \times T_2}{T_2 - T_1} \]

Where:

\( E_a \) — Activation energy (J/mol)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( r_1, r_2 \) — Reaction rates at temperatures T₁ and T₂ (mol/m³s)
\( T_1, T_2 \) — Absolute temperatures (Kelvin)

3. Importance of Activation Energy

Details: Knowing activation energy helps predict reaction rates, design chemical processes, and understand reaction mechanisms.

4. Using the Calculator

Tips: Enter reaction rates at two different temperatures (in Kelvin). Ensure temperatures are different and all values are positive.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need two different temperatures?
A: The temperature dependence of reaction rates allows us to calculate the energy barrier (activation energy).

Q2: What units should I use for temperature?
A: Always use absolute temperature in Kelvin (K) for these calculations.

Q3: Can I use any two temperatures?
A: Yes, as long as they're different and in the range where the reaction occurs.

Q4: What if my reaction rates are in different units?
A: Convert them to the same units (mol/m³s) before calculation.

Q5: Why does the calculator show no result?
A: Check that all values are positive and temperatures are different.