AgCl(s) ⇌ Ag+(aq) + Cl–(aq)
\[\begin{aligned}K_\mathrm{s, AgCl} &= [\mathrm{Ag^+}][\mathrm{Cl^-}] \\ [\mathrm{Ag^+}] &= [\mathrm{Cl^-}] \Rightarrow K_\mathrm{s, AgCl} = [\mathrm{Ag^+}][\mathrm{Ag^+}] = [\mathrm{Ag^+}]^2 \\ [\mathrm{Ag^+}] &= \sqrt{\mathrm{K_\mathrm{s, AgCl}}} = \sqrt{1,77 \cdot 10^{-10}\mathrm{M^2}} = 1,33041347 \cdot 10^{-5}\mathrm{M} \\ n_\mathrm{Ag^+} &= [\mathrm{Ag^+}] \cdot V = 1,33041347 \cdot 10^{-5}\mathrm{mol/dm^3} \cdot 1,0\mathrm{dm^3} = \\ &= 1,33041347 \cdot 10^{-5}\mathrm{mol} \\ n_\mathrm{AgCl} &= n_\mathrm{Ag^+} = 1,33041347 \cdot 10^{-5}\mathrm{mol} \\ m_\mathrm{AgCl} &= M_\mathrm{AgCl} \cdot n_\mathrm{AgCl} = \\ &= (107,9 + 35,45)\frac {\mathrm{g}}{\mathrm{mol}} \cdot 1,33041347 \cdot 10^{-5}\mathrm{mol} = \\ &= 0,00190715\mathrm{g} ≈ 1,9\mathrm{mg}\end{aligned}\]
