Answer: 4 moles of [tex]NO_2[/tex] will be formed when [tex]N_2O_5[/tex] completely reacts.
Explanation: We are given a chemical reaction for the decomposition of [tex]N_2O_5[/tex].
Balanced Chemical equation follows when complete reaction occurs:
[tex]2N_2O_5(g)\rightarrow 4NO_2(g)+O_2(g)[/tex]
By Stoichiometry,
2 moles of [tex]N_2O_5[/tex] produces 4 moles of [tex]NO_2[/tex] and 1 mole of [tex]O_2[/tex].
Therefore, 4 moles of [tex]NO_2[/tex] will be produced when [tex]N_2O_5[/tex] reacts completely.