A) \[{{K}_{1}}=2{{K}_{2}}\]
B) \[{{K}_{2}}=\sqrt{{{K}_{2}}}\]
C) \[{{K}_{1}}={{K}_{2}}\]
D) \[{{K}_{1}}=\frac{1}{2}{{K}_{2}}\]
Correct Answer: B
Solution :
\[{{N}_{2}}+{{O}_{2}}2NO\] (1) \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}NO\] (2) For equation number (1), \[{{K}_{1}}=\frac{{{[NO]}^{2}}}{[{{N}_{2}}][{{O}_{2}}]}\] (3) For equation number (2) \[{{K}_{2}}=\frac{[NO]}{{{[{{N}_{2}}]}^{\frac{1}{2}}}{{[{{O}_{2}}]}^{\frac{1}{2}}}}\] From equation (3) and (4), it is clear that \[{{K}_{2}}={{({{K}_{1}})}^{1/2}}=\sqrt{{{K}_{1}}}\] Hence, \[{{K}_{2}}=\sqrt{{{K}_{1}}}\] Hence, the correct option is (b).
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