Three gaseous equilibria have values of equilibrium constants as $k_1 , k_2, k_3 $ . resp. (i) $ A +B \rightleftharpoons C $ (ii) $ B+C \rightleftharpoons P+Q $ (iii) $ A+2B \rightleftharpoons P+Q $. What is the relation between $k_1 ,k_2, k_3$ . (?)
Addition of (1) and (2) gives (3) then $ K_1 \times K_2 = { [C] \over [A] [ B] ] } \times { [P] [Q] \over [ B] [C] } = { [P] [Q] \over [ A] [ B ] ^2 } = K_3 $ $ \therefore K_3 = K_1 \times K_2 $ When the addition of equilibria leads to another equilibria then the product of their equilibria constants gives the equilibria constant of the resultant equilibrium.