Equilibrium Question 731
Question: For the following three reactions, 1, 2 and 3, equilibrium constants are given
(1) $ C{O_{(g)}}+H_2{O_{(g)}} \leftrightharpoons C{O_{2(g)}}+{H_{2(g)}};K_1 $
(2) $ C{H_{4(g)}} $
$ +H_2{O_{(g)}} \leftrightharpoons $
$ C{O_{(g)}} $
$ 3{H_{2(g)}};K_2 $
(3) $ C{H_{4(g)}}+2H_2{O_{(g)}} \leftrightharpoons C{O_{2(g)}}+4{H_{2(g)}};K_3 $
Which of the following relationship is correc'
Options:
A) $ K_1\sqrt{K_2}=K_3 $
B) $ K_2K_3=K_1 $
C) $ K_3=K_1K_2 $
D) $ K_3.,K^3_2=K^2_1 $
Show Answer
Answer:
Correct Answer: C
Solution:
$ CO(g)+H_2O(g)\rightarrow CO_2(g)+H_2(g);K_1 $ (1) $ CH_4(g)+H_2O(g)\rightarrow CO(g)+3H_2(g);K_2 $ (2) $ CH_4+2H_2O(g)\rightarrow CO_2(g)+4H_2(g);K_3 $ (3) Eq. (3) = eq. (1)+eq.(2) Thus, $ K_3=K_1.K_2 $
