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For the reaction, $A + B \rightarrow P$, the rate law is $\text{rate} = k[A][B]^2$. The rate of reaction is $0.25 \text{ Ms}^{-1}$ when $[A] = 1 \text{ M}$ and $[B] = 0.2 \text{ M}$ at $25^\circ \text{C}$. Calculate the rate constant $k$ of the reaction at the same temperature.
- A$6.25 \text{ M}^{-2}\text{s}^{-1}$
- B$0.25 \text{ M}^{-2}\text{s}^{-1}$
- C$5.0 \text{ M}^{-2}\text{s}^{-1}$
- D$75.0 \text{ M}^{-2}\text{s}^{-1}$
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