\(SO_2(g) + \frac{1}{2} O_2 (g)\rightleftharpoons SO_3(g)\)
Given, KP = 2 x 1012 . at 300 k
\(K_p=\frac{P_{SO_3}}{P_{SO_2}\times P^{y^2}_{O^2}}\)
\(K_P=\frac{[SO_3]\times RT}{[SO_2]RT\times[O_2]^{y_2}(RT)^{y_2}}\)
(∵ P = CRT)
\(K_p=\frac{[SO_3]}{[SO_2][O_2]^{Y_2}}\times \frac{RT}{(RT)^{\frac{3}{2}}}\)
\(K_p =K_c\times RT^{\frac{-1}{2}}\)
\(K_C=\frac{[SO_3]}{[SO_2][O_2]^{Y_2}}\)
\(K_C=K_p\times(RT)^{y_2}\)
KC = 2 x 1012 x (0.082 x 300 k)y2
KC = 9.92 x 1012
KC = 0.99 x 1013
KC = 1 x 1013