The equilibrium constant for the reaction
COCl2 (g) CO (g) + Cl2 (g) is Kc = 4.63 ´ 10–3 at 527 °C
If 10 g of COCl2(g) is placed in a 1 L container, determine how much Cl2 is present at equilibrium.

Respuesta :

Answer: The concentrations of [tex]Cl_2[/tex] at equilibrium is 0.023 M

Explanation:

Moles of  [tex]Cl_2[/tex] = [tex]\frac{\text {given mass}}{\text {Molar mass}}=\frac{10g}{71g/mol}=0.14mol[/tex]

Volume of solution = 1 L

Initial concentration of [tex]Cl_2[/tex] = [tex]\frac{0.14mol}{1L}=0.14M[/tex]

The given balanced equilibrium reaction is,

                            [tex]COCl_2(g)\rightleftharpoons CO(g)+Cl_2(g)[/tex]

Initial conc.           0.14 M           0 M       0M    

At eqm. conc.     (0.14-x) M        (x) M        (x) M

The expression for equilibrium constant for this reaction will be,

[tex]K_c=\frac{[CO]\times [Cl_2]}{[COCl_2]}[/tex]

Now put all the given values in this expression, we get :

[tex]4.63\times 10^{-3}=\frac{x)^2}{(0.14-x)}[/tex]

By solving the term 'x', we get :

x = 0.023 M

Thus, the concentrations of [tex]Cl_2[/tex] at equilibrium is 0.023 M