Nitrogen Dioxide Undergoes Thermal Decomposition According to the Second-Order Reaction $\rightarrow$

Nitrogen dioxide undergoes thermal decomposition according to the second-order reaction 2 NO₂ (g) $\rightarrow$ 2 NO(g) + O₂ (g) .When 0.500 M NO₂ is allowed to react for 90.0 seconds, its concentration falls to 0.0196 M.What is the half-life of the reaction when [NO₂]₀ = 0.500 M?

A) 0.273 s
B) 1.27 s
C) 3.67 s
D) 3.40 s
E) 86.6 s