A) \[1/K\]
B) \[1/{{K}^{2}}\]
C) \[\sqrt{K}\]
D) \[\frac{1}{\sqrt{K}}\]
Correct Answer: D
Solution :
\[{{K}_{1}}\] for \[{{N}_{2}}+3{{H}_{2}}\] ⇌ \[2N{{H}_{3}}\] \[{{K}_{2}}\] for \[N{{H}_{3}}\] ⇌ \[\frac{1}{2}{{N}_{2}}+\frac{3}{2}{{H}_{2}}\] \[{{K}_{1}}\times {{K}_{2}}=\frac{{{[N{{H}_{3}}]}^{2}}}{[{{N}_{2}}]\,\,{{[{{H}_{2}}]}^{3}}}\times \frac{{{[{{N}_{2}}]}^{{1}/{2}\;}}{{[{{H}_{2}}]}^{{3}/{2}\;}}}{[N{{H}_{3}}]}\] \[{{K}_{1}}\times {{K}_{2}}=\frac{1}{{{K}_{2}}}\]; \[{{K}_{2}}=\frac{1}{\sqrt{{{K}_{1}}}}\]
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