### Calculate $\Delta S_{\text { urr }}$ at the indic…

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Problem 38

Without doing any calculations, determine the signs of $\Delta S_{\text { sys }}$ and $\Delta S_{\text { surf }}$ for each chemical reaction. In addition, predict under what temperatures (all temperatures, low temperatures, or high temperatures), if any, the reaction is spontaneous.
$$\begin{array}{l}{\text { a. } 2 \mathrm\ {CO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm\ {CO}_{2}(g) \quad \Delta H_{\mathrm{rxn}}^{\circ}=-566.0 \mathrm{kJ}} \\ {\text { b. } 2 \mathrm\ {NO}_{2}(g) \longrightarrow 2 \mathrm\ {NO}(g)+\mathrm{O}_{2}(g) \quad \Delta H_{\mathrm{rxn}}^{\circ}=+113.1 \mathrm{kJ}} \\ {\text { c. } 2 \mathrm\ {H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm\ {H}_{2} \mathrm{O}(g) \quad \Delta H_{\mathrm{rxn}}^{\circ}=-483.6 \mathrm{kJ}} \\ {\text { d. } \mathrm{CO}_{2}(g) \longrightarrow \mathrm{C}(s)+\mathrm{O}_{2}(g) \quad \Delta H_{\mathrm{rxn}}^{\circ}=+393.5 \mathrm{kJ}}\end{array}$$

PART $\mathrm{A} : \Delta S^{\circ}<0$ and spontaneous at low temperatures
PART $\mathrm{B} : \Delta S^{\circ}>0$ and spontaneous at high temperatures
PART $\mathrm{C} : \Delta S^{\circ}<0$ and spontaneous at low temperatures
PART $\mathrm{D} : \Delta S^{\circ}<0$ and nonspontaneous at all temperatures

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