For the following three reaction (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)) +3H_(2(g)) K_(2)`
(iii) `CH_(4(g)) +2H_(2)O_((g)) hArr CO_(2(g)) +4H_(2(g)) K_(3)`
Which of the following relation is correct ?

Options

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

Answer

D

Explanation

Add (i) & (ii) `rArr` gives
Reaction (iii)
`:.K_(1)K_(2)=K_(3)`