Find Δ H∘ in kilojoules for the reaction of nitric oxide with oxygen, 2NO(g)+O2(g)⟶N2O4(g), given the following data: N2O4(g)⟶2NO2(g)ΔH∘=55.3kJNO(g)+1/2O2(g)⟶NO2(g)ΔH∘=−58.1kJ
Apply Hess Law
2NO(g)+O2(g)⟶N2O4(g)
Given
N2O4(g)⟶2NO2(g) ΔH∘=55.3kJ
NO(g)+1/2O2(g)⟶NO2(g)ΔH∘=−58.1kJ
invert(1) since we need N2O4 in the product side
2NO2(g)⟶N2O4(g) ΔH∘= -55.3kJ
NO(g)+1/2O2(g)⟶NO2(g)ΔH∘=−58.1kJ
Multiply (2) by 2x to calcal NO2
2NO2(g)⟶N2O4(g) ΔH∘= -55.3kJ
2NO(g)+O2(g)⟶2NO2(g)ΔH∘=2*(−58.1) = -116.2 kJ
Add both equations
2NO2(g)+2NO(g)+O2(g)⟶N2O4(g) + 2NO2(g) Hrxn = -55.3 + -116.2 = - 171.5 kJ
cnacel common terms
2NO(g)+O2(g)⟶N2O4(g) Hrxn = - 171.5 kJ
which is what we wanted
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