The rate of the reaction $x + y \rightarrow \text{product}$ is $5.4 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[x] = 0.2 \ mol \ dm^{-3}$ and $[y] = 0.1 \ mol \ dm^{-3}$,calculate the rate constant of the reaction if it is first order in $X$ and second order in $Y$.
- A$18 \ mol^{-2} \ dm^6 \ sec^{-1}$
- B$27 \ mol^{-2} \ dm^6 \ sec^{-1}$
- C$32 \ mol^{-2} \ dm^6 \ sec^{-1}$
- D$12 \ mol^{-2} \ dm^6 \ sec^{-1}$
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