The experimental data for the reaction $2A + B_2 \to 2AB$ is given below. Determine the rate equation for the reaction.
$Exp.$ $[A]_0$ $[B_2]_0$ $Rate \ (mol \ L^{-1} \ s^{-1})$
$(1)$ $0.50$ $0.50$ $1.6 \times 10^{-4}$
$(2)$ $0.50$ $1.00$ $3.2 \times 10^{-4}$
$(3)$ $1.00$ $1.00$ $3.2 \times 10^{-4}$

  • A
    $Rate = k [B_2]$
  • B
    $Rate = k [B_2]^2$
  • C
    $Rate = k [A]^2 [B_2]^2$
  • D
    $Rate = k [A]^2 [B_2]$

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For the reaction: $2 A + B \rightarrow A_2 B$,the rate $= k[A][B]^2$ with $k = 2.0 \times 10^{-6} \ mol^{-2} \ L^2 \ s^{-1}$. Calculate the initial rate of the reaction when $[A] = 0.1 \ mol \ L^{-1}$ and $[B] = 0.2 \ mol \ L^{-1}$. Calculate the rate of reaction after $[A]$ is reduced to $0.06 \ mol \ L^{-1}$.

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