Dinitrogen Tetroxide Decomposes to Form Nitrogen Dioxide in a Second-Order

Multiple Choice

Dinitrogen tetroxide decomposes to form nitrogen dioxide in a second-order reaction:
N₂O₄(g) → 2NO₂(g)
At 400.0 K,the rate constant for this reaction has been measured to be 2.9 × 10⁸ L/(mol ∙ s) .Suppose 0.742 mol of N₂O₄(g) is placed in a sealed 34.3-L container at 400.0 K and allowed to react.What is the total pressure inside the vessel after 49.6 ns has elapsed? (R= 0.0821 (L ∙ atm) /(K ∙ mol) )

A) ​0.879 atm
B) ​0.7138 atm
C) 0.541​ atm
D) 2.13​ atm
E) 1.42​ atm