Equilibrium Question 565
Question: The equilibrium constant for the reversible reaction, $ N_2+3H_2 $ ⇌ $ 2NH_3 $ is $ K $ and for the reaction $ \frac{1}{2}N_2+\frac{3}{2}H_2 $ ⇌ $ NH_3 $ the equilibrium constant is $ {K}’ $ . $ K $ and $ {K}’ $ will be related as [MP PET 1997]
Options:
A) $ K={K}’ $
B) $ {K}’=\sqrt{K} $
C) $ K=\sqrt{{{K}’}} $
D) $ K\times {K}’=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
$ {K}’=K^{n}; $ Hence $ n=\frac{1}{2} $
$ \therefore {K}’={K^{1/2}}=\sqrt{K} $