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.