The rate law for the reaction $A + B \rightarrow C$ at $25^{\circ} C$ is given by $\text{rate} = k[A][B]^2$. Calculate the rate of reaction if the rate constant at the same temperature is $6.25 \ mol^{-2} \ dm^6 \ s^{-1}$ where $[A] = 1 \ M$ and $[B] = 0.2 \ M$.

  • A
    $0.25 \ mol \ dm^{-3} \ s^{-1}$
  • B
    $0.5 \ mol \ dm^{-3} \ s^{-1}$
  • C
    $0.75 \ mol \ dm^{-3} \ s^{-1}$
  • D
    $1.25 \ mol \ dm^{-3} \ s^{-1}$

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