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 :
\[N+{{O}_{2}}2NO\] ...(1) For Eq. (1) \[{{K}_{1}}=\frac{{{[NO]}^{2}}}{[{{N}_{2}}][{{O}_{2}}]}\] ?. (2) \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}NO\] ...(3) For Eq. (3) \[{{K}_{2}}=\frac{[NO]}{{{[{{N}_{2}}]}^{1/2}}{{[{{O}_{2}}]}^{1/2}}}\] ?.(4) Dividing Eqs. (2) and (4) \[{{K}_{2}}={{({{K}_{1}})}^{1/2}}=\sqrt{{{K}_{1}}}\]
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