The half life of a first order reaction is `60 min`. How long will is take to consume `90%` of the reactant?

Explanation

To solve the problem of how long it will take to consume 90% of the reactant in a first-order reaction with a half-life of 60 minutes, we can follow these steps:

### Step 1: Determine the rate constant (k)
The half-life (t_half) of a first-order reaction is given by the formula:
\[ t_{1/2} = \frac{0.693}{k} \]
Given that \( t_{1/2} = 60 \) minutes, we can rearrange the equation to solve for k:
\[ k = \frac{0.693}{t_{1/2}} = \frac{0.693}{60 \text{ min}} \]

...