Answer:
S = 0.788 g/L
Step-by-step explanation:
The solubility product (Kps) is an equilibrium solubization constant, which can be calculated by the equation:
![Kps = ([product]^x)/([reagent]^y)](https://img.qammunity.org/2020/formulas/chemistry/high-school/672zfwhq9upmqcyycn6im5ctevlw5ojzgn.png)
Where x and y are the stoichiometric coefficients of the product and the reagent, respectively. Because of the aggregation form, the concentration of solids is always equal to 1 for use in this equation.
Analyzing the equation, we see that for 1 mol of
is necessary 2 mols of
, so if we call "x" the molar concentration of
, for
we will have 2x, so:
![Kps = [Fe^(+2)].[F^-]^2\\\\2.36x10^(-6) = x(2x)^2\\\\2.36x10^(-6) = 4x^3\\\\x^3 = 5.9x10^(-7)\\\\x = \sqrt[3]{5.9x10^(-7)} \\\\x = 8.4x10^(-3) mol/L](https://img.qammunity.org/2020/formulas/chemistry/high-school/jrfxl3pb9c6nfx5mpf7lf4hm0aibate038.png)
So, to calculate the solubility (S) of FeF2, which is in g/L, we multiply this concentration by the molar mass of FeF2, which is:
Fe = 55.8 g/mol
F = 19 g/mol
FeF2 = Fe + 2xF = 55.8 + 2x19 = 93.8 g/mol
So,
[tex]S = 8.4x10^{-3}x93.8
S = 0.788 g/L