1. Understand the Reaction:

The balanced chemical equation for the reaction is:

N₂ (g) + 3H₂ (g) → 2NH₃ (g) + 92 kJ

This tells us that 1 mole of nitrogen reacts with 3 moles of hydrogen to produce 2 moles of ammonia, releasing 92 kJ of energy.

2. Determine the Energy Released per Mole of Nitrogen:

Since 92 kJ is released for 1 mole of nitrogen, the energy released per mole of nitrogen is 92 kJ/mol.

3. Calculate the Energy Released for 0.42 Moles of Nitrogen:

To find the energy released for 0.42 moles of nitrogen, multiply the energy per mole by the number of moles:

Energy released = (92 kJ/mol) * (0.42 mol) = 38.64 kJ

Therefore, 38.64 kJ of energy would be released when 0.42 moles of nitrogen react with hydrogen to form ammonia.