Q. For the following three reactions I, II and III, equilibrium constants are given $CO(g) + H_{2}O(g) \rightleftharpoons CO_{2}(g) + H_{2}(g);K_{1}$ $CH_{4}(g) + H_{2}O(g) \rightleftharpoons CO(g) + 3H_{2}(g);\ \ K_{2}$ $CH_{4}(g) + 2H_{2}O(g) \rightleftharpoons CO_{2}(g) + 4H_{2}(g);\ \ K_{3}$ 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) $K_{3}K_{2}^{3} = K_{1}^{2}$
Explanation
(c)
As equation ‘III’ is obtained on adding equation ‘I’ and equation ‘II’, so $K_{3} = K_{1}.K_{2}$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.