To calculate number of molecules, we first need to calculate the number of moles of N₂O₄.
Number of moles of N₂O₄ = \frac{Given mass}{Molar mass of N₂O₄}
Molar mass of N₂O₄= 92 g/mol
Given mass of N₂O₄= 12.8 g
Number of moles of N₂O₄=\frac{Given mass}{Molar mass of methane}
=\frac{12.8}{92}
= 0.139 mol
Number of molecules of N₂O₄ = 0.139\times 6.023 \times 10^{23}
= 8.37 × e²²