The rate constant in numerically the same for the theee reaction of first, second, and third order. Which reaction should be the fastest and it this true for all ranges of concentrations?

Explanation

To determine which reaction is the fastest among first, second, and third-order reactions when the rate constant (k) is numerically the same, we can analyze the rate equations for each reaction type.

### Step-by-Step Solution:

1. **Define the Rate Equations**:
- For a first-order reaction:
\[ \text{Rate} (r_1) = k[A] \]
- For a second-order reaction:
...