Write expressions for K_{sp} for each ionic compound.
(a) BaSO_4 (b) Mn(OH)_2 (c) Ag_2CrO_4
To write the expression for K_{sp}, first write the chemical reaction showing the solid compound in equilibrium with its dissolved aqueous ions. Then write the equilibrium expression based on this equation.
(a) \mathrm{BaSO_{4}}(s)\xrightleftharpoons[]{}\mathrm{Ba}^{2+}(a q)+\mathrm{SO}_{4}^{~2-}(a q) \\ K_{sp}=[Ba^{2+}][SO_4^{2-}]
(b) \mathrm{Mn}(\mathrm{OH})_{2}(s)\xrightleftharpoons[]{}\mathrm{Mn}^{2+}(a q)\,+\,2\mathrm{OH}^{-}(a q) \\ K_{\mathrm{sp}}\,=\,[\mathrm{Mn}^{2+}][\mathrm{OH}^{-}]^{2}
(c) \mathrm{Ag}_{2}\mathrm{CrO}_{4}(s)\xrightleftharpoons[]{}\mathrm{2\,Ag}^{+}(a q)\,+\,\mathrm{CrO}_{4}^{\;\;2-}(a q) \\ K_{\mathrm{sp}}=[\mathrm{Ag}^{+}]^{2}[\mathrm{Cr}{ O}_{4}^{~2-}]