MCQ
For the following three reactions $a, b$ and $c,$ equilibrium constants are given :

$(i)\,CO(g)+ H_2O(g) \rightleftharpoons  CO_2(g)+H_2(g)\,;\,K_1$

$(ii)\,CH_4(g)+H_2O(g) \rightleftharpoons  CO(g)+3H_2(g)\,;\,K_2$

$(iii)\,CH_4(g) + 2H_2O(g) \rightleftharpoons CO_2(g)+ 4H_2(g)\,;\,K_3$

  • A
    $K_1\sqrt{K_2} = K_3$
  • B
    $K_2K_3 = K_1$
  • $K_3=K_1\,K_2$
  • D
    $K_3 \cdot K_2^3 = K_1^2$

Answer

Correct option: C.
$K_3=K_1\,K_2$
c
Reaction $(c)$ can be obtained by adding reactions $(a)$ and $(b)$

therefore $K_{3}=K_{1} \cdot K_{2}$

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