One-fourth of a first order reaction is completed in 32 minutes. What is the half-life period of this reaction?

Explanation

To solve the problem of finding the half-life period of a first-order reaction where one-fourth of the reaction is completed in 32 minutes, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Reaction Completion**:
- If one-fourth of the reaction is completed, it means that the concentration of the reactant has decreased from its initial value \( A_0 \) to \( \frac{3}{4} A_0 \).

2. **Using the First-Order Reaction Formula**:
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