For a first order reaction, time taken for half of the reaction to complete is `t_(1)and 3/4` of the reaction to complete is `t_(2)`. How are `t_(1)and t_(2) related?

Explanation

To solve the problem, we need to relate the time taken for half of the reaction to complete (denoted as \( t_1 \)) and the time taken for three-quarters of the reaction to complete (denoted as \( t_2 \)) for a first-order reaction.

### Step-by-Step Solution:

1. **Understanding Half-Life for First-Order Reactions**:
The half-life (\( t_{1/2} \)) for a first-order reaction is given by the formula:
\[
t_{1/2} = \frac{0.693}{k}
...