For the reaction \( 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C} \), the values of initial ra...
0For the reaction \( 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C} \), the values of initial rate at different reactant concentrations are given in the table
\( \mathrm{P} \) below. The rate law for the reaction is :
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[JEE Main-2019 (April)]
\begin{tabular}{|c|c|c|}
\hline\( [\mathrm{A}]\left(\mathrm{mol} \mathrm{L}^{-1}\right) \) & {\( [\mathrm{B}]\left(\mathrm{mol} \mathrm{L}^{-1}\right) \)} & Initial Rate \( \left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\right) \) \\
\hline \( 0.05 \) & \( 0.05 \) & \( 0.045 \) \\
\hline \( 0.10 \) & \( 0.05 \) & \( 0.090 \) \\
\hline \( 0.20 \) & \( 0.10 \) & \( 0.72 \) \\
\hline
\end{tabular}
(1) Rate \( =\mathrm{k}[\mathrm{A}][\mathrm{B}] \)
(2) Rate \( =\mathrm{k}[\mathrm{A}]^{2}[\mathrm{~B}]^{2} \)
(3) Rate \( =\mathrm{k}[\mathrm{A}][\mathrm{B}]^{2} \)
(4) Rate \( =\mathrm{k}[\mathrm{A}]^{2}[\mathrm{~B}] \)
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