Final answer:
The ΔGrxn for the reaction 2N₂(g) + O₂(g) → 2N₂O(g) is calculated using the formula ΔGrxn = ΔH° - TΔS, yielding a result of –32.7 kJ per mole of N₂.
Step-by-step explanation:
To calculate ΔGrxn for the reaction 2N₂(g) + O₂(g) → 2N₂O(g), we will use the formula ΔGrxn = ΔH° - TΔS. Given the enthalpy change (ΔH°) and the entropy change (ΔS) for the reaction, we can insert the values into the equation as shown:
ΔGrxn = (–91.8 kJ) – (298 K)(–198.1 J/K)(1 kJ/1000 J) = –32.7 kJ
This result represents the Gibbs free energy change for the reaction per mole of N₂.