Question

For a first-order reaction, the rate constant is \(k = 0.01 \, \text{s}^{-1}\). What is the half-life of the reaction?

• A. 69.3 s
• B. 100 s
• C. 10 s
• D. 7 s

Hint:

For a first-order reaction, the half-life is independent of the initial concentration and only depends on the rate constant.

Answer 1

The Correct Option is A

For a first-order reaction, the half-life (\(t_{1/2}\)) is given by the formula: \[ t_{1/2} = \frac{0.693}{k} \] Given: - Rate constant \(k = 0.01 \, \text{s}^{-1}\) Step 1: Calculate the half-life \[ t_{1/2} = \frac{0.693}{0.01} = 69.3 \, \text{s} \] Answer: Therefore, the half-life of the reaction is \(69.3 \, \text{s}\), and the correct answer is option (1).