For a reaction \( \mathrm{A}+\mathrm{B} \longrightarrow \mathrm{C}+2 \mathrm{D} \), experimental...

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For a reaction \( \mathrm{A}+\mathrm{B} \longrightarrow \mathrm{C}+2 \mathrm{D} \), experimental results were collected for three trials and the data obtained are given below:
\begin{tabular}{|c|c|c|c|}
\hline Trial & [A], M & [B], M & Initial Rate, \( \mathbf{M ~ s}^{-1} \) \\
\hline 1 & \( 0.40 \) & \( 0.20 \) & \( 5.5 \times 10^{-4} \) \\
\hline 2 & \( 0.80 \) & \( 0.20 \) & \( 5.5 \times 10^{-4} \) \\
\hline 3 & \( 0.40 \) & \( 0.40 \) & \( 2.2 \times 10^{-3} \) \\
\hline
\end{tabular}
The correct rate law of the reaction is
(a) \( \quad \) rate \( =\mathrm{k}[\mathrm{A}]^{0}[\mathrm{~B}]^{2} \)
(b) rate \( =\mathrm{k}[\mathrm{A}][\mathrm{B}]^{2} \)
(c) rate \( =\mathrm{k}[\mathrm{A}][\mathrm{B}] \)
(d) \( \operatorname{rate}=\mathrm{k}[\mathrm{A}][\mathrm{B}]^{0} \)
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