Answer:
The correct mechanism for the reaction based on the given rate is:
Step 1 :
![H_(2) +2NO->N_(2)O+H_(2)O(slow)](https://img.qammunity.org/2020/formulas/chemistry/college/3pove6bpc1dr0ccsih0t5nvjgtuqy8jk4q.png)
Step 2:
![2N_(2)O+H_(2) ->N_(2)+H_(2)O(fast)](https://img.qammunity.org/2020/formulas/chemistry/college/yskc6ns3jm6n5kkhfq3gsrrz0sigywigmw.png)
Step-by-step explanation:
The reaction rate of a muti-step reaction is determined by the slowest step of the reaction. Because of this reason, it is known as the rate-determining step of the reaction.
![rate = k[H_(2)][NO]](https://img.qammunity.org/2020/formulas/chemistry/college/ew840qvg0vs8irh2z2wjg9yy3kpvvjamie.png)
The given rate expression has the concentrations of
.
This means that the slowest step of the mechanism must involve
.
Among the proposed mechanisms, this criterion is met in the mechanism:
![Step 1 :H_(2) +2NO->N_(2)O+H_(2)O(slow)\\ Step 2:2N_(2)O+H_(2) ->N_(2)+H_(2)O(fast)](https://img.qammunity.org/2020/formulas/chemistry/college/k6elm921gtcfrygek58tc4doh652h9l0uh.png)
( Reason: In the above mechanism the slowest step involves
. )