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What [Ag+] is required to reduce [CO32-] to 8.2 ×10-4M by precipitation of Ag2Co3?

Short Answer

Expert verified

The required [Ag+] = 9.9×10-5M

Step by step solution

01

Define Ksp

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp

02

Determining the required precipitation

Substituting in solubility product

\[{K_{sp}}=8.1\times1{0^{-12}}={\left[{A{g^+}}\right]^2}\left[{CO_3^-}\right]\]

\[={\left[{A{g^+}}\right]^2}8.2\times1{0^{-4}}\]

\[\left[{A{g^+}}\right]=\sqrt{\frac{{8.1\times1{0^{-12}}}}{{8.2\times1{0^{-4}}}}}=9.9\times1{0^{-5}}M\]

03

Reducing precipitation

The required precipitation of [Ag+]

[Ag+] = 9.9×10-5M

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Most popular questions from this chapter

Question: A roll of \(35 - mm\) black and white photographic film contains about \(0.27g\) of unexposed \(AgBr\) before developing. What mass of \(N{a_2}{S_2}{O_3} \cdot 5{H_2}O\) (sodium thiosulfate penta hydrate or hypo) in \(1.0L\)of developer is required to dissolve the \(AgBr\)as \(Ag\left( {{S_2}{O_3}} \right)_2^{3 - }\left( {{K_f} = 4.7 \times 1{0^{13}}} \right)?\)

The Handbook of Chemistry and Physics (http://openstaxcollege.org/l/16Handbook) gives solubilities of the following compounds in grams per 100 mL of water. Because these compounds are only slightly soluble, assume that the volume does not change on dissolution and calculate the solubility product for each.

\(\begin{array}{l}(a)BaSe{O_4},0.0118\;g/100\;mL\\(b)Ba{\left( {Br{O_3}} \right)_2} \times {H_2}O,0.30\;g/100\;mL\\(c)N{H_4}MgAs{O_4} \times 6{H_2}O,0.038\;g/100\;mL\\(d)L{a_2}{\left( {Mo{O_4}} \right)_3},0.00179\;g/100\;mL\end{array}\)

Question: 28. The following concentrations are found in mixtures of ions in equilibrium with slightly soluble solids. From the concentrations given, calculate \({K_{sp}}\)for each of the slightly soluble solids indicated:

(a) \(AgBr:\left( {A{g^ + }} \right) = 5.7 \times 1{0^{ - 7}}M,\left( {B{r^ - }} \right) = 5.7 \times 1{0^{ - 7}}M\)

(b) \(CaC{O_3}:\left( {C{a^{2 + }}} \right) = 5.3 \times 1{0^{ - 3}}M,\left( {C{O_3}^{2 - }} \right) = 9.0 \times 1{0^{ - 7}}M\)

(c) \(Pb{F_2}:\left( {P{b^{2 + }}} \right) = 2.1 \times 1{0^{ - 3}}M,\left( {{F^ - }} \right) = 4.2 \times 1{0^{ - 3}}M\)

(d) \(A{g_2}Cr{O_4}:\left( {A{g^ + }} \right) = 5.3 \times 1{0^{ - 5}}M,3.2 \times 1{0^{ - 3}}M\)

(e) \(In{F_3}:\left( {I{n^{3 + }}} \right) = 2.3 \times 1{0^{ - 3}}M,\left( {{F^ - }} \right) = 7.0 \times 1{0^{ - 3}}M\)

Question: Calculate [HgCl42-] in a solution prepared by adding 0.0200 mol of NaCl to 0.250 L of a 0.100 M HgCl2 solution.

Question: Under what circumstances, if any, does a sample of solid AgCl completely dissolve in pure water?

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