First, we have to get moles of Mg2+ = molarity * volume
= 1 x 10^-2 * 0.15 L
= 0.0015 mol
initial [Mg2+] = 0.0015 / 0.4 L(total volume)
= 0.00375 M
then, moles of F- = molarity * volume
= 1 x 10^-1 * 0.25
= 0.025 Mol
initial [F-] = 0.025 / 0.4 = 0.0625 M
by using ICE table:
MgF2(s) → Mg2 + 2F-
initial 0.00375 0.0625
change + X +2 X
Equ 0.00375+X 0.0625+2X
when Ksp = [Mg2+][F-]^2
by substitution:
6.4 x 10^-9 = (0.00375+X)( 0.0625 +2X)^2 by solving for X
∴X= 0.00024 M
∴[Mg2+] = 0.00375 + X
= 0.00375 + 0.00024
= 0.004 M
and [F-] = 0.0625 + 2X
= 0.0625 + 2* 0.00024
= 0.06 M