Consider the decomposition reaction of dinitrogen pentoxide.

2N₂O₅(g) 4NO₂(g) + O₂(g)

The following mechanism is proposed for this reaction:

N2O5 (g) -k1-> NO2(g)+NO3 (g) (this reaction is reversible with constants k1 and k-1)

NO3 (g) --k2-> NO (g) +O2 (g)

NO3 (g) +NO (G) --K3--> 2NO2 (g)

c. Derive the rate law that predicts this mechanism in terms of the rate of formation of molecular oxygen d[O2]/dt