(Solved): Using Hess's Law, calculate \( \Delta H \) (enthalpy) for the following reaction: \[ 6 \mathrm{NO}_ ...

Using Hess's Law, calculate \( \Delta H \) (enthalpy) for the following reaction: \[ 6 \mathrm{NO}_{2}(\mathrm{~g})+8 \mathrm{NH}_{3}(\mathrm{~g}) \ldots 7 \mathrm{~N}_{2}(\mathrm{~g})+12 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) \] Given: \( \mathrm{N}_{2}(\mathrm{~g})+2 \mathrm{O}_{2}(\mathrm{~g}) \cdots 2 \mathrm{NO}_{2}(\mathrm{~g}) \quad \Delta \mathrm{H}=+66 \mathrm{~kJ} \) \[ 4 \mathrm{NH}_{3}(\mathrm{~g})+3 \mathrm{O}_{2}(\mathrm{~g}) \cdots 2 \mathrm{~N}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) \quad \Delta \mathrm{H}=-1530 \mathrm{~kJ} \]