Q72 / 197 · NEET 2009 (Mains) · Chemistry

For the reaction $\mathrm{A}+\mathrm{B} \rightarrow$ products, it is observed that : A. On doubling the initial concentration of $A$ only, the rate of reaction is also doubled and B. 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 $=k[A][B]$
  • B
    rate $=k[A]^2[B]$
  • Correct answer
    C
    rate $=k[A][B]^2$
  • D
    rate $=\mathrm{k}[\mathrm{A}]^2[\mathrm{~B}]^2$

Solution

$$ \begin{aligned} \text { Rate } & =\mathrm{k}[\mathrm{A}][\mathrm{B}]^2 \\ & =\mathrm{k}[2 \mathrm{~A}][2 \mathrm{~B}]^2 \\ & =\mathrm{k} \times 8[\mathrm{~A}][\mathrm{B}]^2 \end{aligned} $$

Hence, the correct answer is option: 'C'.

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