Calcualte the time required for the initial concentration of `2.0 mol//dm^(3)` to get reduced to `1.2 mol//dm^(3)`. Given specific rate constant(k) = `0.009 min^(-1)`

Explanation

To solve the problem of calculating the time required for the concentration of a reactant to decrease from `2.0 mol/dm³` to `1.2 mol/dm³` given a specific rate constant \( k = 0.009 \, \text{min}^{-1} \), we can use the first-order kinetics formula. Here’s the step-by-step solution:

### Step 1: Identify the given values
- Initial concentration \( [A_0] = 2.0 \, \text{mol/dm}^3 \)
- Final concentration \( [A] = 1.2 \, \text{mol/dm}^3 \)
- Rate constant \( k = 0.009 \, \text{min}^{-1} \)

### Step 2: Write the first-order kinetics formula
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