Chapter 20, Problem 41E

In three different experiments, the following results were obtained for the reaction A $\to$ produces: ${\left[\text{A}\right]}_o=1.00\text{M}$ , $t_{1/2}=50\min$ ; $\left[{\text{A}}_{\text{2}}\right]\text{=2}\text{.00M}$, $t_{1/2}=25\min$; ${\left[\text{A}\right]}_{\text{o}}\text{=0}\text{.50M}$, ${\text{t}}_{1/2}=100\min$. Write the rate equation for this reaction, and indicate the value of k.