Solution:
According to the reaction equation for 1 mol of N2 are needs 2 moles of O2.
Therefore, for 8.0 moles N2 are needs 16 moles O2.
The limiting reagent is O2.
The theoretical yield of N2O4 is 6 moles.
Answer: The limiting reagent is O2. The theoretical yield of N2O4 is 6 moles.
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