Calculate the concentration of Ag+ required to begin precipitation of Ag2CO3 in a solution that is 2.50 × 10-6M in CO3 2-

Short Answer

Expert verified

The required [Ag+] =1.8×10-3 M

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 concentration

Precipitation of Ag+ will begin when the ion product value is higher than solubility product constant value of Ag2CO3

\({K_{sp}}=8.2\times1{0^{-12}}\)

\(={\left( {A{g^+}}\right)^2}\left({CO_3^{2-}}\right)\)

\(={\left({A{g^+}}\right)^2}2.5\times1{0^{-6}}\)

03

Determining the concentration in precipitate

\(\left( {A{g^+}}\right)=\sqrt{\frac{{8.2\times1{0^{-12}}}}{{2.5\times1{0^{-6}}}}}\)

=1.8×10-3M

The required (Ag+)=1.8×10-3 M

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Most popular questions from this chapter

Question: How many grams of Milk of Magnesia, \(Mg{(OH)_2}(s)(58.3g/mol)\)would be soluble in 200 mL of water. \({K_{sp}}\)=\(7.1 \times 1{0^{ - 12}}\) Include the ionic reaction and the expression for \({K_{sp}}\)in your answer\(\left( {{K_w} = 1 \times 1{0^{ - 14}} = } \right.\)\(\left. {\left( {{H_3}{O^ + }} \right)\left( {O{H^ - }} \right)} \right)\)

Precipitation and Dissolution

1. Complete the changes in concentrations for each of the following reactions:

\(\begin{array}{l}(a)AgI(s) \to nA{g^ + }(aq) + {I^ - }(aq)\\ x \_ \\(b)CaC{O_3}(s) \to C{a^{2 + }}(aq) + C{O_3}^{2 - }(aq)\\ \_\quad x\\(c)Mg{(OH)_2}(s) \to nM{g^{2 + }}(aq) + 2O{H^ - }(aq)\\ x \quad \_\_\\(d)M{g_3}{\left( {P{O_4}} \right)_2}(s) \to n3M{g^{2 + }}(aq) + 2P{O_4}^{3 - }(aq)\\ x\_\\(e)C{a_5}{\left( {P{O_4}} \right)_3}OH(s) \to n5C{a^{2 + }}(aq) + 3P{O_4}^{3 - }(aq) + O{H^ - }(aq)\\ \_ \_ x\end{array}\)

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 \(Mg{(OH)_2}?\)

Question: Using the dissociation constant, \({K_d} = 2.2 \times 1{0^{ - 34}}\), calculate the equilibrium concentrations of\(C{o^{3 + }}\;and\;N{H_3}\)in a\(0.500 - M\;solution of\;Co\left( {N{H_3}} \right)_6^{3 + }\).

Question: The calcium ions in human blood serum are necessary for coagulation (Figure 15.5). Potassium oxalate, \({K_2}{C_2}{O_4}\), is used as an anticoagulant when a blood sample is drawn for laboratory tests because it removes the calcium as a precipitate of\(Ca{C_2}{O_4} \times {H_2}O\). It is necessary to remove all but 1.0% of the \(C{a^{2 + }}\) in serum in order to prevent coagulation. If normal blood serum with a buffered pH of 7.40 contains 9.5 mg of \(C{a^{2 + }}\) per 100 mL of serum, what mass of \({K_2}{C_2}{O_4}\)is required to prevent the coagulation of a 10 mL blood sample that is 55% serum by volume? (All volumes are accurate to two significant figures. Note that the volume of serum in a 10-mL blood sample is 5.5 mL. Assume that the \({K_{sp}}\)value for \(Ca{C_2}{O_4}\)in serum is the same as in water.)

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