Answer: [tex]Rate=k[O_3][NO_2]^2[/tex]
Explanation:
Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.
[tex]O_3(g)+NO_2(g)\rightarrow NO_3(g)+O_2(g)[/tex] slow
[tex]NO_3(g)+NO_2(g)\rightarrow N_2O_5(g)[/tex] fast
To determine the net chemical equation, we will simply add the above two equations, we get:
[tex]O_3(g)+2NO_2(g)\rightarrow N_2O_5(g)+O_2(g)[/tex]
[tex]Rate=k[O_3][NO_2]^2[/tex]
Order with respect to [tex]O_3[/tex] is 1 and Order with respect to [tex]NO_2[/tex] is 2.
Thus the rate law will be: [tex]Rate=k[O_3][NO_2]^2[/tex]