The three fourth of a first order reaction is completed in 32 minutes. What is the half life period of the reaction?

Explanation

To solve the problem, we need to find the half-life of a first-order reaction given that three-fourths of the reaction is completed in 32 minutes.

### Step-by-Step Solution:

1. **Understanding the Reaction Completion**:
- If three-fourths of the reaction is completed, then one-fourth of the reactant remains.
- Let the initial concentration of the reactant be \( [A]_0 \).
- After three-fourths of the reaction, the concentration of the reactant is:
...