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Question:

If the equilibrium constant for N2(g) + O2(g)⇌2NO(g) is K, the equilibrium constant for 1/2N2(g) + 1/2O2(g)⇌NO(g) will be:

1/2K

K1/2

K

K2

Solution:

If the equilibrium constant for N2(g) + O2(g)⇌2NO(g) is K, the equilibrium constant for 1/2N2(g) + 1/2O2(g)⇌NO(g) will be K1/2
K = [NO]2/[N2][O2]
K' = [NO]/√[N2][O2] = √([NO]2/[N2][O2]) = K1/2