A hypothetical reaction: $${{A}_{2}}+{{B}_{2}}\xrightarrow{{}}2AB$$ follows mechanism as given below: $${{A}_{2}}A+A$$............ (fast) ($${{k}_{c}}$$ is equilibrium constant) $${{A}_{2}}+{{B}_{2}}\xrightarrow{{{k}_{1}}}AB+B$$ ..............(slow) ($${{k}_{1}}$$ rate constant) $$A+BAB$$ .................. (fast) ($${{k}_{2}},{{k}_{3}}$$ are rate constant) Give the rate law.

Question

TuteeHUB · Accepted Answer

$$r=\frac{{{k}_{1}}}{{{k}_{c}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]$$

TuteeHUB · Answer

$$r={{k}_{1}}\sqrt{{{k}_{c}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]$$

TuteeHUB · Answer

$$r=\sqrt{{{k}_{1}}{{k}_{c}}}\,\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]$$

TuteeHUB · Answer

$$r=\frac{{{k}_{1}}}{\sqrt{{{k}_{c}}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]$$

1.	A hypothetical reaction: \[{{A}_{2}}+{{B}_{2}}\xrightarrow{{}}2AB\] follows mechanism as given below: \[{{A}_{2}}A+A\]............ (fast) (\[{{k}_{c}}\] is equilibrium constant) \[{{A}_{2}}+{{B}_{2}}\xrightarrow{{{k}_{1}}}AB+B\] ..............(slow) (\[{{k}_{1}}\] rate constant) \[A+BAB\] .................. (fast) (\[{{k}_{2}},{{k}_{3}}\] are rate constant) Give the rate law.
A.	\[r={{k}_{1}}\sqrt{{{k}_{c}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]
B.	\[r=\frac{{{k}_{1}}}{{{k}_{c}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]
C.	\[r=\sqrt{{{k}_{1}}{{k}_{c}}}\,\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]
D.	\[r=\frac{{{k}_{1}}}{\sqrt{{{k}_{c}}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]
Answer» B. \[r=\frac{{{k}_{1}}}{{{k}_{c}}}\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]

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