Related Formula
Δ H° = Δ U° + Δ ng RT$$\Delta H^{\circ} = \Delta U^{\circ} + \Delta n_g RT$$
Δ G° = Δ H° - TΔ S°$$\Delta G^{\circ} = \Delta H^{\circ} - T\Delta S^{\circ}$$
Core Logic
Δ ng = 2 - (2 + 1) = -1$$\Delta n_g = 2 - (2 + 1) = -1$$
Δ H° = -10 - (1 × 298 × 8.31)/(1000) = -10 - 2.47638 = -12.47638 kJ/mol$$\Delta H^{\circ} = -10 - \frac{1 \times 298 \times 8.31}{1000} = -10 - 2.47638 = -12.47638 \text{ kJ/mol}$$
Δ G° = -12.47638 - (298 × (-44))/(1000) = -12.47638 + 13.112 = +0.63562 kJ/mol$$\Delta G^{\circ} = -12.47638 - \frac{298 \times (-44)}{1000} = -12.47638 + 13.112 = +0.63562 \text{ kJ/mol}$$
Since Δ G° > 0$\Delta G^{\circ} > 0$, process is non-spontaneous.
Step 1: Conclusion
Δ G° = +0.63568 kJ mol⁻¹$\Delta G^{\circ} = +0.63568 \text{ kJ mol}^{-1}$ and non-spontaneous.
Pattern Recognition
Positive Δ G°$\Delta G^{\circ} \implies$ Non-spontaneous reaction under standard conditions.
Chapter Mix
Class 11 Chemistry: Thermodynamics