Answer: -134 kJ
Explanation:
The balanced chemical reaction is,
[tex]3NO_2(g)+H_2O(l)\rightarrow 2HNO_3(aq)+NO(g)[/tex]
The expression for enthalpy change is,
[tex]\Delta H=\sum [n\times \Delta H_f(product)]-\sum [n\times \Delta H_f(reactant)][/tex]
[tex]\Delta H=[(n_{HNO_3}\times \Delta H_{HNO_3})+(n_{NO}\times \Delta H_{NO})]-[(n_{H_2O}\times \Delta H_{H_2O})+(n_{NO_2}\times \Delta H_{NO_2})][/tex]
where,
n = number of moles
Now put all the given values in this expression, we get
[tex]\Delta H=[(2\times -207)+(1\times 90)]-[(1\times -286)+(3\times 32)][/tex]
[tex]\Delta H=-134kJ[/tex]
Therefore, the enthalpy change for this reaction is, -134 kJ