The rate of the reaction $x + y \rightarrow \text{product}$ is $5.4 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[x] = 0.2 \ mol \ dm^{-3}$ and $[y] = 0.1 \ mol \ dm^{-3}$,calculate the rate constant of the reaction if it is first order in $X$ and second order in $Y$.

  • A
    $18 \ mol^{-2} \ dm^6 \ sec^{-1}$
  • B
    $27 \ mol^{-2} \ dm^6 \ sec^{-1}$
  • C
    $32 \ mol^{-2} \ dm^6 \ sec^{-1}$
  • D
    $12 \ mol^{-2} \ dm^6 \ sec^{-1}$

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During the kinetic study of the reaction,$2A + B \rightarrow C + D,$ the following results were obtained:
$Run$ $[A] / mol \ L^{-1}$ $[B] / mol \ L^{-1}$ Initial rate of formation of $D / mol \ L^{-1} \ min^{-1}$
$I.$ $0.1$ $0.1$ $6.0 \times 10^{-3}$
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$III.$ $0.3$ $0.4$ $2.88 \times 10^{-1}$
$IV.$ $0.4$ $0.1$ $2.40 \times 10^{-2}$

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For a reaction $A + B \rightarrow \text{Product}$,the rate of reaction doubles when the concentration of $A$ is doubled. The rate becomes four times when the concentrations of both $A$ and $B$ are doubled. What is the order of the reaction with respect to $A$ and $B$ respectively?

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