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The rate of reaction $A + B \rightarrow P$ is $4 \times 10^{-2} \text{ mol dm}^{-3} \text{ s}^{-1}$. When $[A] = 0.2 \text{ mol dm}^{-3}$ and $[B] = 0.1 \text{ mol dm}^{-3}$, what is the rate constant of the reaction, if it is first order with respect to $A$ and second order with respect to $B$?
- A$10 \text{ mol}^{-2} \text{ dm}^6 \text{ s}^{-1}$
- B$20 \text{ mol}^{-2} \text{ dm}^6 \text{ s}^{-1}$
- C$25 \text{ mol}^{-2} \text{ dm}^6 \text{ s}^{-1}$
- D$40 \text{ mol}^{-2} \text{ dm}^6 \text{ s}^{-1}$
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MediumAIEEE 2003
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