For the reaction $A + B \rightarrow$ products,it is observed that
$(i)$ on doubling the initial concentration of $A$ only,the rate of reaction is also doubled and
$(ii)$ on doubling the initial concentration of both $A$ and $B$,there is a change by a factor of $8$ in the rate of the reaction.
The rate of this reaction is given by

  • A
    rate $= k[A][B]^2$
  • B
    rate $= k[A]^2[B]^2$
  • C
    rate $= k[A][B]$
  • D
    rate $= k[A]^2[B]$

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