Question

For reaction : $SO _2( g )+\frac{1}{2} O _2( g )= SO _3( g )$ $K _{ p }=2 \times 10^{12}$ at $27^{\circ} C$ and 1 atm pressure The $K _{ c }$ for the same reaction is ____$\times 10^{13}$ (Nearest integer)(Given $R =0.082 \,L \,atm \,K ^{-1} \,mol ^{-1}$ )

Answer 1

The correct answer is 1.
SO2(g)​+21​O2(g)​⇌SO3(g)​
Kp​=2×1012 at 300K
Kp​=KC​×(RT)Δng​
2×1012=Kc​×(0.082×300)−1/2
KC​=9.92×1012
KC​=0.992×1013
=1