Answer: -105 kJ
Explanation:-
The balanced chemical reaction is,
[tex]N_2(g)+3H_2(g)\rightarrow 2NH_3(g)[/tex]
The expression for enthalpy change is,
[tex]\Delta H=\sum [n\times B.E(reactant)]-\sum [n\times B.E(product)][/tex]
[tex]\Delta H=[(n_{N_2}\times B.E_{N_2})+(n_{H_2}\times B.E_{H_2}) ]-[(n_{NH_3}\times B.E_{NH_3})][/tex]
[tex]\Delta H=[(n_{N_2}\times B.E_{N\equiv N})+(n_{H_2}\times B.E_{H-H}) ]-[(n_{NH_3}\times 3\times B.E_{N-H})][/tex]
where,
n = number of moles
Now put all the given values in this expression, we get
[tex]\Delta H=[(1\times 945)+(3\times 432)]-[(2\times 3\times 391)][/tex]
[tex]Delta H=-105kJ[/tex]
Therefore, the enthalpy change for this reaction is, -105 kJ