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Question

Consider the reactions:


(i) CO(g)+H2O(g)CO2(g)+H2(g);K1
(ii) CH4(g)+H2O(g)CO(g)+3H2(g);K2
(iii) CH4(g)+2H2O(g)CO2(g)+4H2(g);K3

Which of the following is correct?

A
K3=K1/K2
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B
K3=K21/K32
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C
K3=K1K2
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D
K3=K1(K2)
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Solution

The correct option is B K3=K1K2
(I) CO(g)+H2O(g)CO2(g)+H2(g)

K1=pCO2.pH2pCO.pH2O(I)

(II) CH4(g)+H2O(g)CO(g)+3H2(g)

K2=pCO.(pH2)3pCH4.pH2O(II)

(III) CH4(g)+2H2O(g)CO2(g)+4H2(g)

K3=pCO2.(pH2)4pCH4.(pH2O)2(III)

(I)×(II)K1×K2=pCO2.(pH2)4pCH4.(pH2O)2=K3(III)
Option (C) is correct.

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