The solubility of manganese (ii) hydroxide (mn(oh)2) is 2.2 x 10-5 m. what is the ksp of mn(oh)2?

-When Ksp is the solubility product constant for a solid substance when it

dissolved in an aqueous solution, and measure the level at which a solute

dissolves in the solution.

- and we have the solubility and it is the maximum quantity of solute which can dissolve in a certain solute 

we can assume the solubility = X = 2.2 x 10^-5 M

and when the balanced reaction equation is:

Mn(OH)2(s)  ↔ Mn2+   +  2OH-

∴ the Ksp expression is = [Mn2+] [OH-]^2

when [Mn2+] = X = 2.2 x 10^-5 M

and [OH-] = 2X = 2*(2.2 x 10^-5) = 4.4 x 10^-5 M

by substitution:

∴ Ksp = X * (2X)^2

           = (2.2 x 10^-5)(4.4 x 10^-5)^2

           = 4.3 x 10^-14