The rate constant k for the order gas phase decomposition of ethyl iodide, `C_2H_5l rarrC_2H_4+Hl` is `1.60xx10^(-5)s^(-1)` ar 600 K and `6.36xx10^(-3)s^(-1)` at 700 K. Calculate the energy of activation for this reaction.

Explanation

To calculate the energy of activation (Ea) for the gas phase decomposition of ethyl iodide, we can use the Arrhenius equation, which relates the rate constants (k) at two different temperatures (T1 and T2) to the activation energy. The Arrhenius equation is given by:

\[ k = A \cdot e^{-\frac{E_a}{RT}} \]

Where:
- \( k \) is the rate constant,
- \( A \) is the pre-exponential factor,
- \( E_a \) is the activation energy,
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