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Q. The equilibrium constant $\left(K_{c}\right)$ for the reaction $N_{2}$$_{(g)}$ + $O_{2}$ $_{(g)} \to 2NO \left(g\right)$ at temperature T is $4 × 10^{-4}$. Thevalue of Kc for the reaction $NO$$_{(g)} \to \frac{1}{2} N_{2}$$_{(g)} + \frac{1}{2} O_{2}$$_{(g)}$ at the same temperature is :

AIEEEAIEEE 2012Equilibrium

Solution:

$N_{2} + O_{2}\to 2NO\quad\quad K = 4 × 10^{-4}$
$NO \to \frac{1}{2}N_{2} +\frac{1}{2}O_{2} \quad\quad K' = \frac{1}{\sqrt{K}} = \frac{1}{\sqrt{4\times10^{-4}}} = 50$