JEE MAIN - Chemistry (2008 - No. 5)
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
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.$$K_2^3$$ = $$K_1^2$$
Explanation
Reaction $$(c)$$ can be obtained by adding reactions $$(a)$$ and $$(b)$$ therefore $${K_3} = {K_1}.{K_2}$$
Hence $$(c)$$ is the correct answer.
Hence $$(c)$$ is the correct answer.
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