The ΔH of the reaction is -769 kJ/mol.
To calculate the ΔH of the reaction 4NH3(g) + 5O2(g) → 4NO(g) + 6H2O(l), you can use Hess's law by manipulating and combining the given equations:
4NH3(g)+5O2(g)→4NO(g)+6H2O(l)
2NO(g)→N2(g)+O2(g)
2NO(g)+2NH3(g)→2N2(g)+2H2O(l)
Now, sum these equations to get the overall reaction:
4NH3 (g)+5O2(g)+2NO(g)+2NH3(g)→4NO(g)+6H2O(l)+N2(g)+O2(g)+2N2(g)+2H2O(l)
Simplify the equation:
4NH3(g)+5O2 (g)→4NO(g)2O(l)+N2(g)+O2(g)
Now, sum the enthalpy changes:
ΔHtotal=ΔH1+ΔH2+ΔH3
ΔHtotal=−183.5kJ/mol+(−91.9kJ/mol)+(−493.6kJ/mol)
ΔHtotal =−769kJ/mol
Therefore, the ΔH of the reaction is -769 kJ/mol.