A) \[{{K}_{1}}={{K}_{2}}\]
B) \[{{K}_{2}}=\sqrt{{{K}_{1}}}\]
C) \[{{K}_{1}}=2{{K}_{2}}\]
D) \[{{K}_{1}}=\frac{1}{2}{{K}_{2}}\]
Correct Answer: B
Solution :
\[N+{{O}_{2}}2NO\] ?...(i) For Eq. (i) \[{{K}_{1}}=\frac{{{[NO]}^{2}}}{[{{N}_{2}}][{{O}_{2}}]}\] ??(ii) \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}NO\] ?...(iii) For Eq. (iii) \[{{K}_{2}}=\frac{[NO]}{{{[{{N}_{2}}]}^{1/2}}{{[{{O}_{2}}]}^{1/2}}}\] ??(iv) Dividing Eqs. (ii) and (iv) \[{{K}_{2}}={{({{K}_{1}})}^{1/2}}=\sqrt{{{K}_{1}}}\]
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