The rate constant for the first order reaction is `60 s^(-1)`. How much time will it take to reduce the concentration of the reactant to `1//16th` value ?

Explanation

To solve the problem of how much time it will take to reduce the concentration of a reactant to \( \frac{1}{16} \) of its initial value in a first-order reaction with a rate constant of \( 60 \, s^{-1} \), we can follow these steps:

### Step 1: Understand the First-Order Reaction Formula
For a first-order reaction, the relationship between the concentration of reactants and time is given by the equation:
\[ kt = 2.303 \log \left( \frac{A_0}{A_t} \right) \]
where:
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