10. Which equation has the largest value of Keq? $$ \begin{array}{ll} ext { A. } \quad \mathrm{N}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} ightleftarrows 2 \mathrm{NO}_{(\mathrm{g})} & \Delta \mathrm{H}=21 \mathrm{~kJ} \ ext { B. } \quad \mathrm{C}_{2} \mathrm{H}_{6(\mathrm{~g})} ightleftarrows 2 \mathrm{C}_{(\mathrm{s})}+3 \mathrm{H}_{2(\mathrm{~g})} & \Delta \mathrm{H}+83 \mathrm{~kJ} \ ext { C. } \quad \mathrm{H}_{2(\mathrm{~g})}+1 / 2 \mathrm{O}_{2(\mathrm{~g})} ightleftarrows \mathrm{H}_{2} \mathrm{O}_{(\mathrm{g})} \ ext { D. } \quad \mathrm{Ca}_{(\mathrm{s})}+3 \mathrm{H}_{2} \mathrm{O}_{(\mathrm{l})} ightleftarrows \mathrm{Ca}(\mathrm{OH})_{2(\mathrm{aq})}+\mathrm{H}_{2(\mathrm{~g})} & \Delta \mathrm{H}=-240 \mathrm{~kJ} \ \end{array} $$

Question

10. Which equation has the largest value of Keq? $$ \begin{array}{ll}	ext { A. } \quad \mathrm{N}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} ightleftarrows 2 \mathrm{NO}_{(\mathrm{g})} & \Delta \mathrm{H}=21 \mathrm{~kJ} \ 	ext { B. } \quad \mathrm{C}_{2} \mathrm{H}_{6(\mathrm{~g})} ightleftarrows 2 \mathrm{C}_{(\mathrm{s})}+3 \mathrm{H}_{2(\mathrm{~g})} & \Delta \mathrm{H}+83 \mathrm{~kJ} \ 	ext { C. } \quad \mathrm{H}_{2(\mathrm{~g})}+1 / 2 \mathrm{O}_{2(\mathrm{~g})} ightleftarrows \mathrm{H}_{2} \mathrm{O}_{(\mathrm{g})} \ 	ext { D. } \quad \mathrm{Ca}_{(\mathrm{s})}+3 \mathrm{H}_{2} \mathrm{O}_{(\mathrm{l})} ightleftarrows \mathrm{Ca}(\mathrm{OH})_{2(\mathrm{aq})}+\mathrm{H}_{2(\mathrm{~g})} & \Delta \mathrm{H}=-240 \mathrm{~kJ} \ \end{array} $$

UpStudy AI · Accepted Answer

To determine which equation has the largest value of $$ K_{eq} $$, we need to consider the relationship between the equilibrium constant and the enthalpy change ($$ \Delta H $$). Generally, for exothermic reactions (negative $$ \Delta H $$), the equilibrium constant $$ K_{eq} $$ tends to be larger at lower temperatures, while for endothermic reactions (positive $$ \Delta H $$), $$ K_{eq} $$ tends to increase with temperature.
- **A.** $$ \mathrm{N}_{2(g)} + \mathrm{O}_{2(g)} ightleftarrows 2 \mathrm{NO}_{(g)} $$ with $$ \Delta H = 21 \, 	ext{kJ} $$ (endothermic)
- **B.** $$ \mathrm{C}_{2}\mathrm{H}_{6(g)} ightleftarrows 2 \mathrm{C}_{(s)} + 3 \mathrm{H}_{2(g)} $$ with $$ \Delta H = 83 \, 	ext{kJ} $$ (endothermic)
- **C.** $$ \mathrm{H}_{2(g)} + \frac{1}{2} \mathrm{O}_{2(g)} ightleftarrows \mathrm{H}_{2}\mathrm{O}_{(g)} $$ (no $$ \Delta H $$ provided, but typically exothermic)
- **D.** $$ \mathrm{Ca}_{(s)} + 3 \mathrm{H}_{2}\mathrm{O}_{(l)} ightleftarrows \mathrm{Ca(OH)}_{2(aq)} + \mathrm{H}_{2(g)} $$ with $$ \Delta H = -240 \, 	ext{kJ} $$ (exothermic)

Now, we can conclude that:
- Options A and B are endothermic, which means their $$ K_{eq} $$ values will increase with temperature.
- Options C and D are exothermic, with D having a significantly negative $$ \Delta H $$, suggesting a larger $$ K_{eq} $$ at standard conditions.

ConclusionBased on the analysis, option D, which has the most negative $$ \Delta H $$, is likely to have the largest value of $$ K_{eq} $$ at standard conditions.
Based on the analysis, option D, which has the most negative $$ \Delta H $$, is likely to have the largest value of $$ K_{eq} $$ at standard conditions.
The equation with the largest value of $$ K_{eq} $$ is option D: $$ \mathrm{Ca}_{(s)} + 3 \mathrm{H}_{2}\mathrm{O}_{(l)} ightleftarrows \mathrm{Ca(OH)}_{2(aq)} + \mathrm{H}_{2(g)} $$ with $$ \Delta H = -240 \, 	ext{kJ} $$.

Which equation has the largest value of Keq?

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