For the reaction between $A$ and $B$,the initial rate of reaction $(r_0)$ was measured for different initial concentrations of $A$ and $B$ as given below. Determine the order of the reaction with respect to $A$ and $B$ respectively.
$[A] / mol \ L^{-1}$$0.2, 0.2, 0.4$
$[B] / mol \ L^{-1}$$0.3, 0.1, 0.05$
$r_0 / mol \ L^{-1} s^{-1}$$5.0 \times 10^{-5}, 5.0 \times 10^{-5}, 1.4 \times 10^{-4}$

  • A
    $\frac{1}{2}, 0$
  • B
    $\frac{3}{2}, \frac{1}{3}$
  • C
    $\frac{3}{2}, 0$
  • D
    $0, \frac{5}{2}$

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