Two gaseous equlibriua `SO_(2(g))+1/2O_(2(g))hArrSO_(3(g))and 2SO_(3(g))hArr2SO_(2(g))+O_(2(g))` have equlibrium constants `K_(1) and K_(2)` respectively at 298K. Which of the following relationship between `K_(1)and K_(2)` is correct

Options

A. `K_1 = K_2`
B. `K_2 = K_1^(2)`
C. `K_(2) =1/(K_1^2)`
D. `K_(2) =1/(K_1)`

Answer

C

Explanation

`K_1 = ([SO_3])/([SO_2][O_2]^(1//2))andK_2=([SO_2]^2[O_2])/([SO_3]^2),K_2=1/K_1^2`