For the following three reactions a, b and c, equilibrium constants are given: a. CO (g) + H2O (g) $\leftrightharpoons$ CO2(g) + H2 (g) ; K1 b. CH4 (g) + H2O (g) $\leftrightharpoons$ CO(g) + 3H2 (g) ; K2 c. CH4 (g) + 2H2O (g) $\leftrightharpoons$ CO2(g) + 4H2 (g) ; K3

Question

For the following three reactions a, b and c, equilibrium constants are given:
a. CO (g) + H₂O (g) $\leftrightharpoons$ CO₂(g) + H₂ (g) ; K₁
b. CH₄ (g) + H₂O (g) $\leftrightharpoons$ CO(g) + 3H₂ (g) ; K₂
c. CH₄ (g) + 2H₂O (g) $\leftrightharpoons$ CO₂(g) + 4H₂ (g) ; K₃

${K_1}\sqrt {{K_2}} = {K_3}$

K₂K₃ = K₁

K₃ = K₁K₂

K₃.$K_2^3$ = $K_1^2$

Solution

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