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 :
\[{{N}_{2}}+{{O}_{2}}\] ⇌ \[2NO\] ?..(i) \[\frac{1}{2}{{N}_{2}}+\frac{1}{2}{{O}_{2}}\]⇌\[NO\] ??(ii) For equation number (i) \[{{K}_{1}}=\frac{{{[NO]}^{2}}}{[{{N}_{2}}]\,[{{O}_{2}}]}\] ?.. (iii) For equation number (ii) \[{{K}_{2}}=\frac{[NO]}{{{[{{N}_{2}}]}^{1/2}}{{[{{O}_{2}}]}^{1/2}}}\] ?... (iv) From equation (iii) & (iv) it is clear that \[{{K}_{2}}={{({{K}_{1}})}^{1/2}}=\sqrt{{{K}_{1}}}\]; Hence, \[{{K}_{2}}=\sqrt{{{K}_{1}}}\]
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