when the balanced reaction equation is:
and by using the ICE table:
ZnF2(s) ↔Zn2+(aq) + 2 F-(aq)
initial 0 0
change +X +2X
Equ X 2X
so we have the Ksp expression of this reaction as the following:
Ksp = [Zn2+][F-]^2
when we have Ksp = 0.03
and we assumed [Zn2+] = X
and [F-] = 2X
so, we can substitute and solve to get the value of X:
0.03 = X * (2X)^2
0.03 = X* 4X^2
0.03 = 4X^3
∴X = 0.196 M
and when the [F-] = 2X
∴[F-] = 2 * 0.196 = 0.192 M