For the reaction, $A + B \rightarrow P$, the rate law is $\text{rate} = k[A][B]^2$. The rate of reaction is $0.25 \text{ Ms}^{-1}$ when $[A] = 1 \text{ M}$ and $[B] = 0.2 \text{ M}$ at $25^\circ \text{C}$. Calculate the rate constant $k$ of the reaction at the same temperature.

  • A
    $6.25 \text{ M}^{-2}\text{s}^{-1}$
  • B
    $0.25 \text{ M}^{-2}\text{s}^{-1}$
  • C
    $5.0 \text{ M}^{-2}\text{s}^{-1}$
  • D
    $75.0 \text{ M}^{-2}\text{s}^{-1}$

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$S.NO.$$[A] \ mol \ L^{-1}$$[B] \ mol \ L^{-1}$$Rate \ mol \ L^{-1} \ sec^{-1}$
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Select the rate law that corresponds to the data shown for the following reaction $A + B \to C$
$Expt. \ No.$ $[A]$ $[B]$ $Initial \ Rate$
$1$ $0.012$ $0.035$ $0.10$
$2$ $0.024$ $0.070$ $0.80$
$3$ $0.024$ $0.035$ $0.10$
$4$ $0.012$ $0.070$ $0.80$

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