In a first order reaction, 10% of the reactant is consumed in 25 minutes. Calculate :
(1) The half-life period of the reaction.
(2) The time required for completing 87.5% of the reaction.

Explanation

To solve the problem step by step, we will address both parts of the question: calculating the half-life period of the reaction and the time required for completing 87.5% of the reaction.

### Step 1: Finding the Rate Constant (k)

Given that 10% of the reactant is consumed in 25 minutes, we can find the rate constant (k) using the first-order reaction formula:

\[
k = \frac{2.303}{t} \log \left( \frac{[A_0]}{[A_t]} \right)
...