The standard enthalpy of formation (\(\Delta H_f^\circ\)) of ammonia is -46.2 kJ/mol. What is the \(\Delta H_f^\circ\) of the following reaction?
\[
N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)
\]
Show Hint
When using Hess's Law, remember that the enthalpy change for a reaction is the sum of the enthalpy changes for the formation of products and reactants.
For the reaction provided, the change in enthalpy can be calculated using Hess's Law. Given that the formation enthalpy of ammonia is -46.2 kJ/mol, and the reaction produces 2 moles of ammonia, the enthalpy change for the reaction is:
\[
\Delta H_f^\circ = 2 \times (-46.2) = -92.4 \, \text{kJ/mol}
\]
Thus, the standard enthalpy of formation for this reaction is -92.4 kJ.