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

The half-life (\(t_{1/2}\)) for a first-order reaction is calculated using the formula: \[ t_{1/2} = \frac{0.693}{k} \] With a given rate constant \(k = 0.01 \, \text{s}^{-1}\), the half-life is computed as follows: Step 1: Half-life Calculation \[ t_{1/2} = \frac{0.693}{0.01} = 69.3 \, \text{s} \] Result: The half-life of the reaction is \(69.3 \, \text{s}\), corresponding to option (1).