Respuesta :

Answer : The concentration in (M)of bromide ions in a saturated solution of mercury (II) bromide is, [tex]2.7\times 10^{-7}M[/tex]

Explanation :

The solubility equilibrium reaction will be:

[tex]HgBr_2\rightleftharpoons Hg^{2+}+2Br^{-}[/tex]

Let the molar solubility be 's'.

The expression for solubility constant for this reaction will be,

[tex]K_{sp}=[Hg^{2+}][Br^{-}]^2[/tex]

[tex]K_{sp}=(s)\times (2s)^2[/tex]

[tex]K_{sp}=4s^3[/tex]

Given:

[tex]K_{sp}[/tex] = [tex]8.0\times 10^{-20}[/tex]

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

[tex]K_{sp}=4s^3[/tex]

[tex]8.0\times 10^{-20}=4s^3[/tex]

[tex]s=2.7\times 10^{-7}M[/tex]

Therefore, the concentration in (M)of bromide ions in a saturated solution of mercury (II) bromide is, [tex]2.7\times 10^{-7}M[/tex]