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Question

Chemistry Question on Equilibrium

If the equilibrium constant for N2(g)+O2(g)<=>2NO(g){ N2(g) + O2(g) <=> 2NO(g)} is K, the equilibrium constant for 12N2(g)+12O2(g)<=>NO(g){ \frac{1}{2} N_2 (g) + \frac{1}{2} O_2 (g) <=> NO(g) } will be :

A

KK

B

K2K^2

C

K1/2K^{1/2}

D

12K\frac{1}{2} K

Answer

K1/2K^{1/2}

Explanation

Solution

N2(g)+O2(g)<=>2NO(g);K{N_2(g) + O_2(g) <=> 2NO(g) ; K}
12N2(g)+12O2(g)<=>NO(g);K{\frac{1}{2} N_2 (g) + \frac{1}{2}O_2 (g) <=> NO(g) ; K'}
when a reaction is multiplied by 1/2 then
K=(K)1/2K' = (K)^{1/2}