Textbook Problem

The following data were obtained for the gas-phase decomposition of dinitrogen pentoxide,

${\text{2N}}_2{\text{O}}_5\left(g\right)\to 4{\text{NO}}_2\left(g\right)+{\text{O}}_{\text{2}}\left(g\right)$

[N2O5]0(mol/L)	Initial Rate (mol/L · s)
0.0750	8.90 × 10−4
0.190	2.26 × 10−3
0.275	3.26 × 10−3
0.410	4.85 × 10−3

Defining the rate as −∆[N₂O₅]/ ∆t write the rate law and calculate the value of the rate constant