Respuesta :
Answer: The solubility of the salt is [tex]4.8\times 10^{-3}M[/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 [tex]K_{sp}[/tex]
The equation for the reaction will be as follows:
[tex]AB_2\rightleftharpoons A^{2+}+2B^-[/tex]
By Stoichiometry,
1 mole of [tex]AB_2[/tex] gives 1 mole of [tex]A^{2+}[/tex] and 2 moles of [tex]B^-[/tex]
Thus if solubility of [tex]AB_2[/tex] is s moles/liter, solubility of [tex]A^{2+}[/tex] is s moles\liter and solubility of [tex]B^-[/tex] is 2s moles/liter
Therefore,
[tex]K_sp=[A^{2+}][B^{-}]^2[/tex]
[tex]4.3\times 10^{-7}=[s][2s]^2[/tex]
[tex]4s^3=4.3\times 10^{-7}[/tex]
[tex]s=4.8\times 10^{-3}M[/tex]
The solubility of the salt is [tex]4.8\times 10^{-3}M[/tex]
