Question

The half-life of a first-order reaction is 1386 seconds. What is the specific rate constant of this reaction?

• A. \(0.5 \times 10^{-3} \, \text{s}^{-1}\)
• B. \(5.0 \times 10^{-3} \, \text{s}^{-1}\)
• C. \(0.5 \times 10^{-2} \, \text{s}^{-1}\)
• D. \(5.0 \times 10^{-2} \, \text{s}^{-1}\)

Hint:

In first-order reactions, half-life is independent of concentration. Always use \( t_{1/2} = \frac{0.693}{k} \) to find the rate constant when half-life is given.