For the reaction N2(g)+O2(g)⇌2NO(g), the equilibrium constant is K1. The equilibrium constant is K2 for the reaction 2NO(g)+O2(g)⇌2NO2(g). What is equilibrium constant for the reaction NO2(g)⇌12N2(g)+O2(g) ?
A
1/(2K1K2)
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B
1/(4K1K2)
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C
[1/K1K2]1/2
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D
1/(K1K2)
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Solution
The correct option is C[1/K1K2]1/2 The reactions N2+O2⇌2NOK1........(i) and 2NO+O2⇌2NO2K2........(ii) are added and reversed. The net reaction is then divided by 2 to obtain the reaction NO2⇌12N2+O2. Hence, the expression for the net reaction becomes K=√1k1.k2.