Rate of the reaction $A + B \rightarrow \text{product}$ is $3.6 \times 10^{-2} \ mol \ dm^{-3} \ s^{-1}$ and rate law is $r = k[A][B]^2$. What is the rate constant of the reaction if $[A] = 0.2 \ M$ and $[B] = 0.1 \ M$?

  • A
    $10 \ mol^{-2} \ dm^6 \ s^{-1}$
  • B
    $18 \ mol^{-2} \ dm^6 \ s^{-1}$
  • C
    $24 \ mol^{-2} \ dm^6 \ s^{-1}$
  • D
    $4.8 \ mol^{-2} \ dm^6 \ s^{-1}$

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