| (i) \[{{X}_{2}}\to X+X(fast)\] |
| (ii) \[X+{{Y}_{2}}XY+Y(slow)\] |
| (iii)\[X+Y\to XY(fast)\] |
A) 1.5
B) 1
C) 2
D) 0
Correct Answer: A
Solution :
The solution of this question is given by assuming step (i) to be reversible which is not given in question Overall rate = Rate of slowest step (ii) \[=k[X][{{Y}_{2}}]\] ?(1) K=rate constant of step (ii) Assuming step (i) to be reversible, its equilibrium constant, \[{{k}_{eq}}=\frac{{{[X]}^{2}}}{[{{X}_{2}}]}\Rightarrow [X]={{k}_{eq}}^{\frac{1}{2}}{{[{{X}_{2}}]}^{\frac{1}{2}}}\] ?(2) Put (2) in (1) \[Rate=k{{k}_{eq}}^{\frac{1}{2}}{{[{{X}_{2}}]}^{\frac{1}{2}}}[{{Y}_{1}}]\] Overall order \[=\frac{1}{2}+1=\frac{3}{2}\]
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