In a first order reaction, 10% of the reactant is consumed in 25 minutes. Calculate :
The time required for completing 87.5% of the reaction.

Explanation

To solve the problem step by step, we will use the principles of first-order kinetics.

### Step 1: Understand the Given Information
We know that in a first-order reaction, 10% of the reactant A is consumed in 25 minutes. This means that 90% of A remains after 25 minutes.

### Step 2: Calculate the Rate Constant (k)
For a first-order reaction, the rate constant \( k \) can be calculated using the equation:

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