In which of the following reactions, standard reaction entropy change ($\Delta S^{\circ }$) is positive and standard Gibb’s energy change ($\Delta G^{\circ }$) decreases sharply with increasing temperature?

From the equation: $\Delta G^{\circ }=\Delta H^{\circ }-T\Delta S^{\circ }$ If $\Delta S^{\circ }$ is positive, the term $-T\Delta S^{\circ }$ becomes more negative as $T$ increases, causing $\Delta G^{\circ }$ to decrease sharply.Positive $\Delta S^{\circ }$ usually occurs when there is an increase in the number of moles of gas.Option A: $0.5$ mol gas $\to 1$ mol gas. $\Delta S^{\circ }>0$.Option B: $1$ mol gas $\to 1$ mol gas. $\Delta S^{\circ }\approx 0$.Option C: $1.5$ mol gas $\to 1$ mol gas. $\Delta S^{\circ }<0$.Option D: $0.5$ mol gas $\to 0$ mol gas. $\Delta S^{\circ }<0$.Thus, the reaction $\text{C}+0.5{\text{O}}_2\to \text{CO}$ fits the criteria.