Respuesta :

The ksp = 4.87 × 10^-17
Therefore; 4.87 ×10^-17 = [Fe2+][OH-]^2 = (X)(2X)^2 = 4X^3
Hence; 
 4x^3 =4.87 × 10^-17 
 x = 2.30 × 10^-6 M
therefore the molarity is 2.3 ×10^-6 M
Thus;
The mass of Fe(OH)2 in 100 ml of water, will be given by:
  = 2.30 × 10^-6 mol/L = 2.3 ×× 10^-5 mole/100 mL
 =  89.86 g/mol × 2.3 × 10^-6 × 0.100 = 2.07 × 10^-5 g
= 2.07 × 10^-5 g 
 = 2.07 × 10^-5 g

The solubility product constant is the equilibrium constant of a substance in an aqueous solution. The solubility of iron (ii) hydroxide is [tex]2.07 \times 10^{-5}\;\rm g.[/tex]

What is Ksp?

Ksp is the solubility product constant, which is given as the product of the concentration of cation and anion dissociated in the aqueous solution.

Given,

Ksp =  [tex]4.87 \times 10^{-17}[/tex]

Thus,

[tex]\begin{aligned}&= \rm [Fe^{2+}][OH^{-}]^{2} \\\\&= \rm (X)(2X)^{2} \\\\&= \rm 4X^{3}\end{aligned}[/tex]

The molarity can be calculated as:

[tex]\begin{aligned}\rm 4X^{3} =4.87 \times 10^{-17}\\\\\rm X= 2.30 \times 10^{-6}\;\rm M\end{aligned}[/tex]

The mass of  iron (ii) hydroxide in 100 mL of water is calculated as:

[tex]\begin{aligned}2.30 \times 10^{-6} \;\rm mol/L &= 2.3 \times 10^{-5}\;\rm mole/100 mL\\\\&= 2.07 \times 10^{-5} \;\rm g\end{aligned}[/tex]

Therefore, the solubility of iron (ii) hydroxide is [tex]2.07 \times 10^{-5}\;\rm g.[/tex]

Learn more about solubility here:

https://brainly.com/question/9330439