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Question: The equilibrium constant of the following reactions are : (I) CH<sub>4</sub> (g) + H<sub>2</sub>O (...

The equilibrium constant of the following reactions are :

(I) CH4 (g) + H2O (g) \rightleftarrowsCO (g) + 3H2 (g) K1

(II) CO (g) + H2O (g)\rightleftarrowsCO2 (g) + H2 (g) K2

(III) CO2 (g) +4H2 (g) \rightleftarrows

CH4 (g) + 2H2O (g) K3

Which of the following is true ?

A

log K3 = log K1 + log K2

B

log K1+ log K2 + log K3 = 0

C

log K3 = log K1 — log K2

D

log K3 = 12\frac { 1 } { 2 }(log K1 + log K2)

Answer

log K1+ log K2 + log K3 = 0

Explanation

Solution

CH4 (g) + 2H2O (g) \rightleftarrows CO2 (g) +4H2 (g) K

= K1K2

\ 1 K3\frac { 1 } { \mathrm {~K} _ { 3 } } = K1 K2

or K3 K2 K1 = 1

or log K1 + log K2 + logK3 = 0