What concentration of Cl2O remains after a mixture that initially contains [H2O] = 1.00 M and [Cl2O] = 1.00 M comes to equilibrium at 25 °C ? Kc for the reaction is 0.0900.

Respuesta :

Answer:

Equilibrium concentration of  [tex]Cl_2O[/tex] is 0.870 M.

Explanation:

Initial concentration of water = [tex][H_2O]=1.00 M[/tex]

Initial concentration of [tex]Cl_2O=[Cl_2O]=1.00 M[/tex]

[tex]H_2O(g) + Cl_2O(g)\rightarrow 2HOCl(g), Kc = 0.0900[/tex]

initially

1.00 M            1.00 M                      0

At equilibrium

(1.00m-x) M   (1.00-x)M                  2x

The expression of equilibrium constant is given by :

[tex]K_c=\frac{[HOCl]^2}{[H_2O][Cl_2O]}[/tex]

[tex]0.0900=\frac{(2x)^2}{(1.00-x)(1.00-x)}[/tex]

Solving for x :

x = 0.130

Equilibrium concentration of  [tex]Cl_2O[/tex]:

[tex][Cl_2O]=(1,00-x) M=1.00 M-0.130 M=0.870 M[/tex]