Explanation:
As the given equations are as follows.
Step 1: [tex]2ClO_{2} \rightleftharpoons Cl_{2}O_{4}[/tex] (fast)
Step 2: [tex]Cl_{2}O_{4} + F_{2} \rightarrow 2FClO_{2}[/tex] (slow)
So, in order to determine the overall reaction we will add both step 1 and step 2 as follows.
Step 1 + 2 : [tex]2ClO_{2} Cl_{2}O_{4} + F_{2} \rightleftharpoons Cl_{2}O_{4} + 2FClO_{2}[/tex]
Thus, by cancelling the common species we can conclude that the equation for overall reaction is [tex]2ClO_{2} + F_{2} \rightarrow 2FClO_{2}[/tex].