When equal volumes of a solution containing $$\text{Ba}^{2+}$$ ($$1.0 \times 10^{-4}$$ M) and another containing $$\text{F}^-$$ ($$1.0 \times 10^{-2}$$ M) are mixed at $$25^\circ\text{C}$$, $$\text{BaF}_2$$ will be precipitated, given $$K_{sp}$$ of $$\text{BaF}_2 = 1.0 \times 10^{-6}$$ at $$25^\circ\text{C}$$