The decomposition of N2O5 according to following reaction is first order reaction
2N2O5 (g) 4NO2 (g) + O2 (g)
After 30 min. from start of the decomposition in a closed vessel, the total pressure developed is found to be 284.5 mm of Hg and on complete decomposition, the total pressure is 584.5 mm of Hg. Calculate the rate constant of the reaction.