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Question

From the given data of equilibrium constants of the following reactions,
CaO(s)+H2(g)Ca(s)+H2O(g);K=60
CaO(s)+CO(g)Ca(s)+CO2(g);K=400
Calculate the equilibrium constant of the reaction,
CO2(g)+H2(g)CO(g)+H2O(g)

A
0.15
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B
1.5
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C
2.5
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D
0.25
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Solution

The correct option is A 0.15
CaO(s)+H2(g)Ca(s)+H2O(g);K1=60(1)
CaO(s)+CO(g)Ca(s)+CO2(g);K=400(2)
Now substracting the equation (2) from Equation (1), we get
CO2(g)+H2(g)CO(g)+H2O(g);K=?
The equilibrium constant (k) can be written as K=K1K2
=60400=0.15

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