| Step I, | \[2AX\] fast |
| Step II, | \[X+BY\] slow |
| Step III, | \[Y+B\]Product fast |
A) Rate \[=k{{[A]}^{2}}\]
B) Rate \[=k{{[B]}^{2}}\]
C) Rate \[=k[A][B]\]
D) Rate \[=k{{[A]}^{2}}[B]\]
Correct Answer: D
Solution :
Rate \[\frac{dx}{dt}=k[X]\,[B]\] ... (i) (\[\therefore \] Rate is determined by slow step.) From step \[I;{{K}_{eq}}=\frac{[X]}{{{[A]}^{2}}}\] or \[[X]={{K}_{eq}}{{[A]}^{2}}\] By putting the value of [X] in equation (i) \[\frac{dx}{dt}=k\,\,.\,\,{{K}_{eq}}{{[A]}^{2}}[B]\] \[=k{{[A]}^{2}}[B]\] (where, \[k=k{{K}_{eq}}\])
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