At 25°C, the equilibrium constant Kc for the reaction in thesolvent CCl4 2BrCl <----> Br2 + Cl2 is 0.141. If the initial concentration of chlorine is 0.0300 M andof bromine monochloride is 0.0200 M, what is the equilibrium concentration of bromine?

Respuesta :

Answer: The equilibrium concentration of bromine gas is 0.00135 M

Explanation:

We are given:

Initial concentration of chlorine gas = 0.0300 M

Initial concentration of bromine monochlorine = 0.0200 M

For the given chemical equation:

                   [tex]2BrCl\rightleftharpoons Br_2+Cl_2[/tex]

Initial:          0.02               0.03

At eqllm:    0.02-2x     x     0.03+x

The expression of [tex]K_c[/tex] for above equation follows:

[tex]K_c=\frac{[Br_2]\times [Cl_2]}{[BrCl]^2}[/tex]

We are given:

[tex]K_c=0.141[/tex]

Putting values in above equation, we get:

[tex]0.141=\frac{x\times (0.03+x)}{(0.02-2x)^2}\\\\x=-0.96,+0.00135[/tex]

Neglecting the value of x = -0.96 because, concentration cannot be negative

So, equilibrium concentration of bromine gas = x = 0.00135 M

Hence, the equilibrium concentration of bromine gas is 0.00135 M