What is the half-life for this reaction at the initial concentration?

Verified step by step guidance

1. <Identify the order of the reaction. The half-life formula depends on whether the reaction is zero-order, first-order, or second-order.>
2. <For a first-order reaction, use the formula for half-life: $t_{1/2} = \frac{0.693}{k}$, where $k$ is the rate constant.>
3. <For a second-order reaction, use the formula: $t_{1/2} = \frac{1}{k[A]_0}$, where $[A]_0$ is the initial concentration.>
4. <For a zero-order reaction, use the formula: $t_{1/2} = \frac{[A]_0}{2k}$.>
5. <Determine the rate constant $k$ and the initial concentration $[A]_0$ if needed, and apply the appropriate formula to find the half-life.>