Consider the combustion of solid sulfur to form sulfur dioxide.
S8(s)+8O2(g)→8SO2(g)
Thermodynamic data (per mole of reaction as written):
ΔH∘=−2376kJ, ΔS∘=+550JK−1.
The uncatalyzed reaction has an activation energy Ea=180kJmol−1.
(a) Calculate ΔG∘ for the reaction at 298K.
(b) Calculate ΔG∘ for the reaction at 800K.
(c) Using your answers from parts (a) and (b), discuss the change in thermodynamic favorability as temperature increases.
(d) For each temperature (298K and 800K), 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∘ and Ea.