A) \[r=k[A]\,[B]\]
B) \[r=k[AB]\,[B]\]
C) \[r=[A]\,{{[B]}^{2}}\]
D) \[r=k{{[A]}^{2}}\,[B]\]
Correct Answer: C
Solution :
Mechanism \[A+BAB\] (fast) \[AB+BA+{{B}_{2}}\] (slow) rate law \[{{k}_{2}}[AB][B]\] For fast reaction (steady states step) \[{{k}_{1}}[A][B]={{k}_{-1}}[AB]\] \[[AB]=\frac{{{k}_{1}}[A][B]}{{{k}_{-1}}}\] The value of \[[AB]\] put into rate law rate law \[=\frac{{{k}_{2}}{{k}_{1}}}{{{k}_{-1}}}[A]{{[B]}^{2}}\] \[=k[A]{{[B]}^{2}}\]
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