The rate law for the reaction $A + 2B \rightarrow C + 2D$ is given by:

  • A
    Rate $= K[A][B]$
  • B
    Rate $= K[A][2B]$
  • C
    Rate $= K[A][B]^2$
  • D
    Rate $= K\frac{[C][D]^2}{[A][B]^2}$

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The reaction between $A$ and $B$ is first order with respect to $A$ and zero order with respect to $B$. Fill in the blanks in the following table:
Experiment $[A] / mol \, L^{-1}$ $[B] / mol \, L^{-1}$ Initial rate / $mol \, L^{-1} \, min^{-1}$
$I$ $0.1$ $0.1$ $2.0 \times 10^{-2}$
$II$ $-$ $0.2$ $4.0 \times 10^{-2}$
$III$ $0.4$ $0.4$ $-$
$IV$ $-$ $0.2$ $2.0 \times 10^{-2}$

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The alkaline hydrolysis of an ester is a .......

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