The equation is:
NH₄NO₂ (aq) → N₂ (g) + 2H₂O (l)
The moles of NH₄NO₂ (aq) is:
M ₓ V = 1.10 ₓ 2.20 = 2.4 moles of NH₄NO₂
1 mole of NH₄NO₂ = 1 mole of N₂
2.4 mole = 2.4 mole of N₂
No liquid volume = V total - V liquid = 10 - 2.20 = 7.8 liters.
Now, substituting the data in the equation PV = nRT we get:
PV = nRT
P = nRT/V
P = 2.4 ₓ 0.082 ₓ 298 / 7.8
P = 7.5 atm