For a first-order reaction $A \rightarrow \text{Product}$,the rate of reaction is $1 \times 10^{-2} \, \text{mol L}^{-1} \text{min}^{-1}$ when $[A] = 0.2 \, \text{M}$. What is the half-life $(t_{1/2})$ of the reaction?
- A$832 \, \text{min}$
- B$440 \, \text{sec}$
- C$416 \, \text{min}$
- D$14 \, \text{min}$
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