Question

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 :

• A. $0.02$
• B. $2.5 � 10^2$
• C. $4 � 10^{-4}$
• D. $50.0$

Answer 1

Answer: (D)

$50.0$

Answer 2

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