question_answer

The equilibrium constant for the reversible reaction, \[{{N}_{2}}+3{{H}_{2}}\] ⇌ \[2N{{H}_{3}}\] is \[K\] and for the reaction \[\frac{1}{2}{{N}_{2}}+\frac{3}{2}{{H}_{2}}\] ⇌ \[N{{H}_{3}}\] the equilibrium constant is \[{K}'\]. \[K\] and \[{K}'\] will be related as                            [MP PET 1997]

A)                 \[K={K}'\]           

B)                 \[{K}'=\sqrt{K}\]

C)                 \[K=\sqrt{{{K}'}}\]           

D)                 \[K\times {K}'=1\]