For the following three reactions (i), (ii) and (iii) equilibrium constants are given
(i)`CO_((g)) + H_2O_((g)) hArr CO_(2(g)) + H_(2(g)) , K_1`
(ii)`CO_(4(g)) + H_2O_((g)) hArr CO_((g)) + 3H_(2(g)) , K_2`
(iii)`CO_(4(g)) +2H_2O_((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_1sqrtK_2=K_3`
C. `K_2K_3=K_1`
D. `K_3=K_1K_2`

Answer

D

Explanation

`CO_((g))+H_2O_((g)) " " CO_(2(g)) + H_(2(g))`
`K_1=([CO_2][H_2])/([CO][H_2O])`….(1)
`CH_(4(g)) +H2O_((g)) hArr CO_((g)) + 3H_(2(g))`