The rate of a particular reaction quadruples when the temperature changes from 293 K to 313 K. Calculate the energy of activation for such a reaction.

Explanation

To solve the problem of calculating the activation energy (Ea) for a reaction where the rate quadruples when the temperature changes from 293 K to 313 K, we can use the Arrhenius equation. Here’s a step-by-step solution:

### Step 1: Understand the relationship between rate constants and temperature
The rate of a reaction is related to its rate constant (K) by the Arrhenius equation:
\[ k = A e^{-\frac{E_a}{RT}} \]
where:
- \( k \) is the rate constant,
- \( A \) is the pre-exponential factor,
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