The rate constant of a reaction at `500 K` and `700 K` are `0.02s^(-1)`, respectively. Calculate the values of `E_(a)` and `A` at `500 K`.

Explanation

To solve the problem of calculating the activation energy (E_a) and the pre-exponential factor (A) using the Arrhenius equation, we can follow these steps:

### Step 1: Write the Arrhenius Equation
The Arrhenius equation is given by:
\[ k = A e^{-\frac{E_a}{RT}} \]
Taking the logarithm of both sides, we can rearrange it to:
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