If the equilibrium constant for the reaction,
$ 2 X Y ightleftharpoons X_2+Y_2 ext { is } 81, $

Question

If the equilibrium constant for the reaction, 
$ 2 X Y ightleftharpoons X_2+Y_2 	ext { is } 81, $
what is the value of equilibrium constant for the reaction : 
$ X Y ightleftharpoons \frac{1}{2} X_2+\frac{1}{2} Y_2 	ext { ? } $

Professor PC Thomas Classes · Answer

(b) : $2 X Y \rightleftharpoons X_2+Y_2 ; K_c=81$ 
$ X Y \rightleftharpoons \frac{1}{2} X_2+\frac{1}{2} Y_2 ; K_c^{\prime}=? ; K_c^{\prime}=\sqrt{K_c}=\sqrt{81}=9 $