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Write the ionic equation for dissolution and the solubility product \(({K_{sp }})\) expression for each of the following slightly soluble ionic compounds:

\(\begin{array}{l}\;(a)PbC{l_2}\\\;(b)A{g_2}S\\\;(c)S{r_3}{\left( {P{O_4}} \right)_2}\\\;(d)SrS{O_4}\end{array}\)

Short Answer

Expert verified

The solubility product constant denoted as Ksp is defined as equilibrium condition in which solid and its respective ions exist in solution.

\(\begin{array}{l}a)PbC{l_2}(aq) \to P{b^{2 + }}(aq) + 2C{l^ - }(aq)\\ {K_{sp}} = 1 \left( {P{b^{2 + }}} \right) \times {\left( {2\left( {C{l^ - }} \right)} \right)^2}\\b)A{g_2}S(aq) \to 2A{g^ + }(aq) + {S^{2 - }}(aq)\\ {K_{sp}} = {\left( {2\left( {A{g^ + }} \right)} \right)^2} \times 1\left( {{S^{2 - }}} \right)\\c)S{r_3}{\left( {P{O_4}} \right)_2}(aq) \to 3S{r^{2 + }}(aq) + 2PO_4^{3 - }\\ {K_{sp}} = {\left( {3\left( {S{r^{2 + }}} \right)} \right)^3} \times {\left( {2\left( {PO_4^{3 - }} \right)} \right)^2}\\d)SrS{O_4}(aq) \to S{r^{2 + }}(aq) + SO_4^{2 - }(aq)\\ {K_{sp}} = 1\left( {S{r^{2 + }}} \right) \times 1\left( {SO_4^{2 - }} \right)\end{array}\)

Step by step solution

01

Step 1:

Ionic equations will be written by dissociating given compound to its cation and anion. Constant of solubility is calculated like this:

\({K_{sp}} = C{\left( {{C^ + }} \right)^c} \times C{\left( {{A^ - }} \right)^a}\)

c is for concentration\(,{C^ + }\) is for cation and $A^{-}$is for anion that are potentiated on their stoichiometry coefficient

02

To find the ionic equation for dissolution and the solubility product \(({K_{sp }})\) expression for following slightly soluble ionic compounds:

a)\(PbC{l_2}\)

\(\begin{array}{l}PbC{l_2}\;(aq) \to P{b^{2 + }}(aq) + 2C{l^ - }(aq) \\ {K_{sp}} = \left( {P{b^{2 + }}} \right) \times 2\;\left( {{\rm{C}}{{\rm{l}}^ - }} \right)\end{array}\)

03

To find the ionic equation for dissolution and the solubility product \(({K_{sp }})\) expression for following slightly soluble ionic compounds:

b)\(A{g_2}S\)

\(\begin{array}{l}A{g_2}S(aq) \to 2A{g^ + }(aq) + {S^{2 - }}(aq)\\ {K_{sp}} = {\left( {c\left( {A{g^ + }} \right)} \right)^2} \times c\left( {{S^{2 - }}} \right)\\\end{array}\)

04

To find the ionic equation for dissolution and the solubility product \(({K_{sp }})\) expression for following slightly soluble ionic compounds:

C)\(S{r_3}{\left( {P{O_4}} \right)_2}\)

\(\begin{array}{l}S{r_3}{\left( {P{O_4}} \right)_2}(aq) \to 3\;S{r^{2 + }}(aq) + 2PO_4^{3 - } \\ {K_{sp}} = {\left( {3\left( {S{r^{2 + }}} \right)} \right)^3} \times {\left( {2\left( {PO_4^{3 - }} \right)} \right)^2}\end{array}\)

05

To find the ionic equation for dissolution and the solubility product \(({K_{sp }})\) expression for following slightly soluble ionic compounds:

d)\(SrS{O_4}\)

\(\begin{array}{l}SrS{O_4}\;(aq) \to S{r^{2 + }}\;(aq) + SO_4^{2 - }\;(aq) \\ {K_{sp}} = c\left( {S{r^{2 + }}} \right) \times c\left( {SO_4^{2 - }} \right)\end{array}\)

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Most popular questions from this chapter

Question: In a titration of cyanide ion, 28.72 mL of 0.0100 M AgNO3 is added before precipitation begins. [The reaction of Ag+ with CN– goes to completion, producing the Ag(CN)2 − complex.] Precipitation of solid AgCN takes place when excess Ag+ is added to the solution, above the amount needed to complete the formation of Ag(CN)2 −. How many grams of NaCN were in the original sample?

Question: 30. Which of the following compounds precipitates from a solution that has the concentrations indicated? (See Appendix J for \({K_{sp}}\) values.)

(a) \(KCl{O_4}:\left( {{K^ + }} \right) = 0.01{M^ - }\left( {ClO_4^ - } \right) = 0.01M\)

(b) \({K_2}PtC{l_6}:\left( {{K^ + }} \right) = 0.01M,\left( {PtC{l_6}^{2 - }} \right) = 0.01M\) \(\)

(c) \(Pb{I_2}:\left( {P{b^{2 + }}} \right) = 0.003M,\left( {{I^ - }} \right) = 1.3 \times 1{0^{ - 3}}M\)

(d) \(A{g_2}\;S:\left( {A{g^ + }} \right) = 1 \times 1{0^{ - 10}}M,\left( {{S^{2 - }}} \right) = 1 \times 1{0^{ - 13}}M\)

A volume of \(50mL\) of \(1.8MN{H_3}\)is mixed with an equal volume of a solution containing\(0.95g\;of\;MgC{l_2}\). What mass of \(N{H_4}Cl\)must be added to the resulting solution to prevent the precipitation of \(Mg{(OH)_2}?\)

What is the molar solubility of \({\bf{Tl}}{\left( {{\bf{OH}}} \right)_{\bf{3}}}\) in a \({\bf{0}}.{\bf{10}}{\rm{ }}{\bf{M}}\) solution of \({\bf{N}}{{\bf{H}}_{\bf{3}}}\) ?

Question: A solution contains \(1.0 \times 1{0^{ - 2}}\)mol of KI and 0.10 mol of KCl per liter. \(AgN{O_3}\)is gradually added to this solution. Which forms first, solid AgI or solid AgCl?

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