I'm trying to understand this conversion (this is the Claus process btw). At lower temperatures we have better conversion, because we are favoring the S_8 allotrope, but at higher temperatures we have the S_2 allotrope.

Im trying to figure out how my ln(K) expression relates to the %conversion vs TEMP graph I have drawn.

Can someone please explain conceptually how this shape can fit that expression I have written? If I am solving for K at different temperatures, I wouldn't imagine the shape of the graph to look like that.

is my Standard Free Energy ALSO changing while I change temperature? Would I need to be calculating the standard free energy of different mixtures of S_2 & S_8 for each temperature?

Im just looking for a conceptual explanation behind this!

Thank you!