For the reaction $A + B \rightarrow \text{product}$,the rate of reaction is $3.6 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[A] = 0.2 \ mol \ dm^{-3}$ and $[B] = 0.1 \ mol \ dm^{-3}$,calculate the rate constant of the reaction if the reaction is first order in $A$ and second order in $B$.
- A$3.6 \ mol^{-2} \ dm^6 \ sec^{-1}$
- B$1.8 \ mol^{-2} \ dm^6 \ sec^{-1}$
- C$18 \ mol^{-2} \ dm^6 \ sec^{-1}$
- D$36 \ mol^{-2} \ dm^6 \ sec^{-1}$
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