If a first order reaction takes 32 minutes for 75% completion, then time required for `50%` completion is :

Options

A. 32 min
B. 16 min
C. 8 min
D. 4 min

Explanation

To solve the problem of finding the time required for 50% completion of a first-order reaction, given that it takes 32 minutes for 75% completion, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Reaction Order**:
- The reaction is a first-order reaction. For first-order reactions, the rate constant \( k \) can be determined using the formula:
\[
k = \frac{2.303}{t} \log \left( \frac{[A]_0}{[A]} \right)
...