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At 25 °c, only 0.0640 mol of the generic salt ab is soluble in 1.00 l of water. what is the ksp of the salt at 25 °c? ab(s)â½âââa+(aq)+bâ(aq)

Respuesta :

Answer: [tex]4.09\times 10^{-3}[/tex]

Explanation:

Solubility product is defined as the equilibrium constant in which a solid ionic compound is dissolved to produce its ions in solution. It is represented as

The equation for the ionization of the  is given as:

[tex]AB\rightarrow A^++B^-[/tex]

Molar concentration = [tex]\frac{moles}{Volume}=\frac{0.0640}{1.00L}=0.0640M[/tex]

By stoichiometry of the reaction:

1 mole of  [tex]AB[/tex] gives 1 mole of [tex]A^+[/tex] and 1 mole of [tex]B^-[/tex]

When the solubility of  [tex]AB[/tex] is S moles/liter, then the solubility of [tex]A^+[/tex]  will be S moles\liter and solubility of [tex]B^-[/tex] will be S moles/liter.

[tex]K_{sp}=[A^{+}][B^{-}][/tex]

[tex]K_{sp}=[0.0640][0.0640]=4.09\times 10^{-3}[/tex]

Thus [tex]K_{sp}[/tex] of the salt at [tex]25^0C[/tex] is [tex]4.09\times 10^{-3}[/tex]