The activation energy for the decomposition of hydrogen iodide at 581 K is 209.5 kJ `mol^(–1)`. Calculate the fraction of molecules having energy equal to activation energy.

Explanation

To solve the problem of calculating the fraction of molecules having energy equal to the activation energy for the decomposition of hydrogen iodide at 581 K, we can follow these steps:

### Step 1: Understand the Arrhenius Equation
The Arrhenius equation is given by:
\[ k = A e^{-\frac{E_a}{RT}} \]
Where:
- \( k \) = rate constant
- \( A \) = pre-exponential factor
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