The decomposition of N2O5 via the reaction 2N2O5 (g) >> 4NO2 (g) + O2(g) is a first order reaction with a rate law of R = k(N2O5]. Show that this rate-law can be accounted for by the following mechanism

1) N2O5 (g) <<>> NO2 (g) + NO3 (g)

2) NO2 (g)+NO3 (g) >>> NO2 (g)+O2 (g)+NO(g)

3) NO (g) + N2O5 (g) >>> NO2 (g) + NO2 (g) + NO2 (g)