Question 16.9: Using the data in Table 16.2, calculate the solubility of co...

Using the data in Table 16.2, calculate the solubility of copper( $II$ ) hydroxide, $Cu(OH)_{2}$ , in g/L.

Strategy We are given the $K_{sp}$ of $Cu(OH)_{2}$ and asked to calculate its solubility in g/L. The sequence of conversion steps, according to Figure 16.9(b), is

\begin{matrix} K_{sp} \text{ of} && [Ca^{2+} ]  and & & \text{molar solubility} && \text{solubility of} \\ &\longrightarrow & & \longrightarrow &&\longrightarrow \\ Cu(OH)_{2} &&[OH^{-} ] & &of   Cu(OH)_{2}&&Cu(OH)_{2}  in   g/L \end{matrix}

Table 16.2 Solubility Products of Some Slightly Soluble Ionic Compounds at 25°C

Compound	$K_{sp}$	Compound	$K_{sp}$
Aluminum hydroxide $[Al(OH)_{3} ]$	$1.8\times 10^{-33}$	Lead $(II)$ chromate $(PbCrO_{4})$	$2.0\times 10^{-14}$
Barium carbonate $(BaCO_{3})$	$8.1\times 10^{-9}$	Lead $(II)$ fluoride $(PbF_{2})$	$4.1\times 10^{-8}$
Barium fluoride $(BaF_{2})$	$1.7\times 10^{-6}$	Lead $(II)$ iodide $(PbI_{2})$	$1.4\times 10^{-8}$
Barium sulfate $(BaSO_{4})$	$1.1\times 10^{-10}$	Lead $(II)$ sulfide (PbS)	$3.4\times 10^{-28}$
Bismuth sulfide $(BaSO_{3})$	$1.6\times 10^{-72}$	Magnesium carbonate $(MgCOI_{3})$	$4.0\times 10^{-5}$
Calcium sulfide (CdS)	$8.0\times 10^{-28}$	Magnesium hydroxide $[Mg(OH)_{2}]$	$1.2\times 10^{-11}$
Calcium carbonate $(CaCO_{3})$	$8.7\times 10^{-9}$	Manganese $(II)$ sulfide (MnS)	$3.0\times 10^{-14}$
Calcium fluoride $(CaF_{2})$	$4.0\times 10^{-11}$	Mercury $(I)$ sulfide (HgS)	$3.5\times 10^{-18}$
Calcium hydroxide $[Ca(OH)_{2}]$	$8.0\times 10^{-6}$	Nickel $(II)$ sulfide (NiS)	$4.0\times 10^{-54}$
Calcium phosphate $[Ca_{3}(PO_{4} )_{2}]$	$1.2\times 10^{-26}$	Silver bromide (AgBr)	$1.4\times 10^{-24}$
Chromium $(II)$ sulfide (CoS)	$3.0\times 10^{-29}$	Silver chloride $(Ag_{2}CO_{3})$	$7.7\times 10^{-13}$
Copper $(I)$ bromide (CuBr)	$4.0\times 10^{-21}$	Silver chloride (AgCl)	$8.1\times 10^{-12}$
Copper $(I)$ iodide (CuI)	$4.2\times 10^{-8}$	Silver iodide (AgI)	$1.6\times 10^{-10}$
Copper $(II)$ hydroxide $[Cu(OH)_{2}]$	$5.1\times 10^{-12}$	Silver sulfate $(Ag_{2}SO_{4})$	$8.3\times 10^{-17}$
Copper $(II)$ sulfide (CuS)	$2.2\times 10^{-20}$	Silver sulfide $(Ag_{2}S)$	$1.4\times 10^{-5}$
Iron $(II)$ hydroxide $[Fe(OH)_{2}]$	$6.0\times 10^{-37}$	Strontium carbonate $(SrCO_{3})$	$6.0\times 10^{-51}$
Iron $(III)$ hydroxide $[Fe(OH)_{3}]$	$1.6\times 10^{-14}$	Strontium sulfate $(SrSO_{4})$	$3.8\times 10^{-7}$
Iron $(II)$ sulfide (FeS)	$1.1\times 10^{-36}$	Tin $(II)$ sulfide (SnS)	$1.0\times 10^{-26}$
Lead $(II)$ carbonate $(PbCl_{2})$	$3.3\times 10^{-14}$	Zinc hydroxide $[Zn(OH)_{2}]$	$1.8\times 10^{-14}$
	$2.4\times 10^{-4}$	Zinc sulfide (ZnS)	$3.0\times 10^{-23}$

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