J.R. S. answered 11/26/21
Ph.D. University Professor with 10+ years Tutoring Experience
PCl3(g) + Cl2(g) <==> PCl5(g)
K = (PCl5) / (PCl3)(Cl2)
∆G = ∆Gº + RT ln K
At equilibrium ∆G = 0, therefor
∆Gº = -RT ln K
-92.50 = -RT ln K
What happens to ln K as T is raised
92.50 / RT = ln K
So as T is raised, the value of ln K gets smaller and since K is (PCl3)(Cl2) / (PCl5), this ratio gets smaller or decreases. Does that help explain it?