A proposed mechanism for the gas phase reaction between

Question

A proposed mechanism for the gas phase reaction between nitrogen monoxide and oxygen is as follows: 

..... step 1 ..... fast: ...... NO + O₂ <-------> NO₃ 

..... step 2 ..... slow: .... NO₃ + NO ------> 2 NO₂ 

(1) What is the equation for the overall reaction? Use the smallest integer coefficients possible. If a box is not needed, leave it blank.

 _________+________-------->___________ +__________

(2)  Which species acts as a catalyst? Enter formula. If none, leave box blank: __________

(3)  Which species acts as a reaction intermediate? Enter formula. If none, leave box blank: ________

(4) Complete the rate law for the overall reaction that is consistent with this mechanism. 

Use the form k[A]^m[B]ⁿ , where '1' is understood (so don't write it if it's a '1') for m, n etc.

Rate =  __________