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

For the following three reaction 1, 2 and 3, equilibrium constants are

1.	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 ?A. `K_(1)sqrt(K_(2))=K_(3)`B. `K_(2)K_(3)=K_(1)`C. `K_(3)=K_(1)K_(2)`D. `K_(3)K_(2)^(3)K_(1)^(2)`
Answer» `{:(CO_((g))+H_(2)O_((g))hArrCO_(2(g))+H_(2(g)),K_(1).....(i)),(CH_(4)(g)+H_(2)O_((g))hArrCO_((g))+3H_(2(g)),K_(2).....(ii)),(bar(CH_(4)+2H_(2)O_((g))hArrCO_(2(g))+4H_(2(g)),K_(3)......(iii))):}` Eq. (`iii`) `=` eq. (`i`) `+` eq. (`ii`) Thus, `K_(3)=K_(1)*K_(2)`

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