Consider the following reaction:
SO2Cl2(g)⇌SO2(g)+Cl2(g)
A reaction mixture is made containing an initial [SO2Cl2] of 2.4×10−2 M . At equilibrium, [Cl2]= 1.3×10−2 M .

Calculate the value of the equilibrium constant (Kc).

Respuesta :

Answer : The value of equilibrium constant (Kc) is, 0.0154

Explanation :

The given chemical reaction is:

                        [tex]SO_2Cl_2(g)\rightarrow SO_2(g)+Cl_2(g)[/tex]

Initial conc.    [tex]2.4\times 10^{-2}[/tex]          0             0

At eqm.          [tex](2.4\times 10^{-2}-x)[/tex]   x              x

As we are given:

Concentration of [tex]Cl_2[/tex] at equilibrium = [tex]1.3\times 10^{-2}M[/tex]

That means,

[tex]x=1.3\times 10^{-2}M[/tex]

The expression for equilibrium constant is:

[tex]K_c=\frac{[SO_2][Cl_2]}{[SO_2Cl_2]}[/tex]

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

[tex]K_c=\frac{(x)\times (x)}{2.4\times 10^{-2}-x}[/tex]

[tex]K_c=\frac{(1.3\times 10^{-2})\times (1.3\times 10^{-2})}{2.4\times 10^{-2}-1.3\times 10^{-2}}[/tex]

[tex]K_c=0.0154[/tex]

Thus, the value of equilibrium constant (Kc) is, 0.0154