The fluoride ion concentration in a saturated solution of magnesium fluoride, MgF2, is 2.3 10-3 M. Calculate the value for the equilibrium constant.

............MgF2 ==> Mg^2+ + 2F^-

I...........solid.....0.......0
C...........solid.....x.......2x
E...........solid.....x.......2x

Ksp = (x)(2x)^2
You know x = 2.3E-3M.Substitute and solve for Ksp.

To calculate the value for the equilibrium constant (K), we first need to write the balanced chemical equation for the dissolution of magnesium fluoride (MgF2) in water.

The equation is:
MgF2(s) ⇌ Mg2+(aq) + 2F^-(aq)

In this equation, MgF2(s) represents the solid magnesium fluoride, and Mg2+(aq) and F^-(aq) represent the dissolved magnesium ions and fluoride ions, respectively.

The equilibrium constant (K) expression for this reaction is given by:

K = [Mg2+][F^-]^2

Now, we're given the concentration of fluoride ions ([F^-]) in a saturated solution of magnesium fluoride, which is 2.3 × 10^(-3) M. However, we need to determine the concentration of magnesium ions ([Mg2+]).

Since magnesium fluoride (MgF2) is an ionic compound, it dissociates completely in water, meaning that for every molecule of magnesium fluoride that dissolves, it releases one magnesium ion (Mg2+) and two fluoride ions (2F^-).

So, if [F^-] is 2.3 × 10^(-3) M, then the concentration of [Mg2+] will be half (1/2) of that value, which is:

[Mg2+] = 1/2 * (2.3 × 10^(-3) M) = 1.15 × 10^(-3) M

Now, we can substitute the values of [Mg2+] and [F^-] into the equilibrium constant expression:

K = (1.15 × 10^(-3) M) * (2.3 × 10^(-3) M)^2

Simplifying this expression will give you the value for the equilibrium constant (K).

To calculate the value for the equilibrium constant, we can use the equation for the dissolution of magnesium fluoride:

MgF2(s) --> Mg2+(aq) + 2F-(aq)

The equilibrium constant expression for this reaction can be written as:

K = [Mg2+][F-]^2

Given that the fluoride ion concentration in the saturated solution is 2.3 x 10^-3 M, we can substitute this value into the equilibrium constant expression:

K = [Mg2+][2.3 x 10^-3]^2

However, we need information on the concentration of Mg2+ in the solution to calculate the equilibrium constant. If the concentration of Mg2+ is not provided, we cannot accurately determine the value for the equilibrium constant.