Answer:
The correct mechanism for the reaction based on the given rate is:
Step 1 : 

Step 2: 

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:

( Reason: In the above mechanism the slowest step involves 
 . )
. )