Consider the combustion of solid sulfur to form sulfur dioxide

CHEMISTRY · Multi-part · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

Consider the combustion of solid sulfur to form sulfur dioxide. S8(s)+8 O2(g)→8 SO2(g)\mathrm{S}_8(s) + 8\,\mathrm{O}_2(g) \to 8\,\mathrm{SO}_2(g) Thermodynamic data (per mole of reaction as written): ΔH∘=−2376 kJ\Delta H^\circ = -2376\,\text{kJ}, ΔS∘=+550 J K−1\Delta S^\circ = +550\,\text{J}\,\text{K}^{-1}. The uncatalyzed reaction has an activation energy Ea=180 kJ mol−1E_a = 180\,\text{kJ}\,\text{mol}^{-1}. (a) Calculate ΔG∘\Delta G^\circ for the reaction at 298 K298\,\text{K}. (b) Calculate ΔG∘\Delta G^\circ for the reaction at 800 K800\,\text{K}. (c) Using your answers from parts (a) and (b), discuss the change in thermodynamic favorability as temperature increases. (d) For each temperature (298 K298\,\text{K} and 800 K800\,\text{K}), evaluate whether the reaction is likely to proceed at a measurable rate in the absence of a catalyst. Support your answer by referencing both ΔG∘\Delta G^\circ and EaE_a.

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