For the following three reactions (i), (ii) and (iii), equilibrium constants are given:
i) `CO _((g)) + H _(2) O_((g)) hArr CO _(2 (g)) + H _(2 (g)) , K _(1)`
ii) `CH _(4 (g)) + H _(2) O _((g)) hArr CO _((g)) + 3 H _(2 (g)) , K _(2)`
iii) `CH _(4 (g)) + 2 H _(2) O _((g)) hArr CO _(2 (g)) + 4 H _(2 (g)) , K _(3)`
Which of the following relation is correct?

Options

A. `K_(3)K_(2)^(3) = K_(1)^(2)`
B. `K_(1)sqrt(K_(2)) = K_(3)`
C. `K_(2)K_(3) = K_(1)`
D. `K_(3) = K_(1)K_(2)`

Answer

D

Explanation

Reaction (iii) is obtained by adding (i) and (ii) hence `K_(3) = K_(1) xx K_(2)`