For the following three reaction 1, 2 and 3, equilibrium constants are given:
(1) `CO_((g)) + H_(2)O_((g))hArrCO_(2(g)) + H_(2(g)), K_(1)`
(2) `CH_(4(g)) + H_(2)O_((g))hArrCO_((g)) + 3H_(2(g)), K_(2)`
(3) `CH_(4(g)) + 2H_(2)O_((g))hArrCO_(2(g)) + 4H_(2(g)), K_(3)`
Which of the following relations is correct ?

Options

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

Answer

B