The rate of a reaction quadruples when the temperature changes from `293K` to `313K`. Calculate the energy of activation of the reaction assuming that it does not change with temperature.

Explanation

To calculate the energy of activation (Ea) for the reaction given that the rate quadruples when the temperature changes from 293 K to 313 K, we can use the Arrhenius equation. Here’s how to solve it step by step:

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