Barium fluoride, , is partially soluble with Ksp of 1.7e-06. What is the solubility of barium fluoride in pure water

Respuesta :

Answer:

[tex]7.5x10^{-3}M[/tex]

Explanation:

Hello,

In this case, since the dissociation barium fluoride is represented at equilibrium by:

[tex]BaF_2(s)\rightleftharpoons Ba^{2+}(aq)+2F^-(aq)[/tex]

Hence, the equilibrium expression is:

[tex]Ksp=[Ba^{2+}][F^-]^2[/tex]

Whereas the molar solubility is represented as the reaction extent [tex]x[/tex]:

[tex]Ksp=[x][2x]^2[/tex]

In such a way, we can solve for [tex]x[/tex]:

[tex]1.7x10^{-6}=4x^3\\\\x=\sqrt[3]{\frac{1.7x10^{-6}}{4} } \\\\x=7.5x10^{-3}M[/tex]

Which as said before, is the molar solubility.

Best regards.

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