| A hypothetical reaction : |
| \[{{A}_{2}}+{{B}_{2}}\to 2AB\] Follows mechanism as given below: |
| \[{{A}_{2}}\overset{{{k}_{c}}}{\mathop{\rightleftharpoons }}\,A+A\]..............(fast) |
| \[A+{{B}_{2}}\overset{{{k}_{1}}}{\mathop{\rightleftharpoons }}\,AB+B\].........(slow) |
| \[A+B\overset{{{k}_{2}}}{\mathop{\rightleftharpoons }}\,AB\].........(fast) |
| The order of overall reaction is: |
A) 2.5
B) 1
C) 3/2
D) Zero
Correct Answer: C
Solution :
| Rate is governed by slowest step | |||
| \[A+{{B}_{2}}\,\,\,\,AB+B\] | |||
| \[r={{k}_{1}}\,[A]\,\,\,[{{B}_{2}}]\] | ...(i) | ||
| From \[{{A}_{2}}\,\,\,\,A+A\] | |||
| \[{{k}_{C}}=\frac{{{[A]}^{2}}}{[{{A}_{2}}]}\] | ...(ii) | ||
| \[[A]=\sqrt{{{k}_{C}}}\,\,{{[\,{{A}_{2}}\,]}^{1/2}}\] | |||
| \[r=\sqrt{{{k}_{C}}}\,\,{{[{{A}_{2}}]}^{1/2}}\,\,[{{B}_{2}}]\] | |||
| Order is \[=\frac{1}{2}+1=\frac{3}{2}\] | |||
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