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Chapter 15: Problem 20

Write balanced equations for the dissolution reactions and the corresponding solubility product expressions for each of the following solids. a. \(\mathrm{Ag}_{2} \mathrm{CO}_{3}\) b. \(\mathrm{Ce}\left(\mathrm{IO}_{3}\right)_{3}\) c. \(\mathrm{BaF}_{2}\)

Short Answer

Expert verified
\(a. \mathrm{Ag}_{2}\mathrm{CO}_{3}\left(s\right) \longleftrightarrow 2\mathrm{Ag}^{+}\left(aq\right) + \mathrm{CO}_{3}^{2-}\left(aq\right)\), \(\mathrm{K}_{sp} = [\mathrm{Ag}^{+}]^2[\mathrm{CO}_{3}^{2-}]\) \(b. \mathrm{Ce}\left(\mathrm{IO}_{3}\right)_3\left(s\right) \longleftrightarrow \mathrm{Ce}^{3+}\left(aq\right) + 3\mathrm{IO}_3^-\left(aq\right)\), \(\mathrm{K}_{sp} = [\mathrm{Ce}^{3+}][\mathrm{IO}_{3}^{-}]^3\) \(c. \mathrm{BaF}_{2}\left(s\right) \longleftrightarrow \mathrm{Ba}^{2+}\left(aq\right) + 2\mathrm{F}^{-}\left(aq\right)\), \(\mathrm{K}_{sp} = [\mathrm{Ba}^{2+}][\mathrm{F}^{-}]^2\)

Step by step solution

01

a. Solve for Silver Carbonate (\(\mathrm{Ag}_{2} \mathrm{CO}_{3}\))

Step 1: Write the dissociation/dissolution reaction of the given solid. Silver Carbonate will dissociate into Silver ions and Carbonate ions: \(\mathrm{Ag}_{2}\mathrm{CO}_{3}\left(s\right) \longleftrightarrow 2\mathrm{Ag}^{+}\left(aq\right) + \mathrm{CO}_{3}^{2-}\left(aq\right)\) Step 2: Write the solubility product expression. The solubility product expression for Silver Carbonate is: \(\mathrm{K}_{sp} = [\mathrm{Ag}^{+}]^2[\mathrm{CO}_{3}^{2-}]\)
02

b. Solve for Cerium(III) Iodate (\(\mathrm{Ce}\left(\mathrm{IO}_{3}\right)_{3}\))

Step 1: Write the dissociation/dissolution reaction of the given solid. Cerium(III) Iodate dissociates into Cerium ions and Iodate ions: \(\mathrm{Ce}\left(\mathrm{IO}_{3}\right)_3\left(s\right) \longleftrightarrow \mathrm{Ce}^{3+}\left(aq\right) + 3\mathrm{IO}_3^-\left(aq\right)\) Step 2: Write the solubility product expression. The solubility product expression for Cerium(III) Iodate is: \(\mathrm{K}_{sp} = [\mathrm{Ce}^{3+}][\mathrm{IO}_{3}^{-}]^3\)
03

c. Solve for Barium Fluoride (\(\mathrm{BaF}_{2}\))

Step 1: Write the dissociation/dissolution reaction of the given solid. Barium Fluoride dissociates into Barium ions and Fluoride ions: \(\mathrm{BaF}_{2}\left(s\right) \longleftrightarrow \mathrm{Ba}^{2+}\left(aq\right) + 2\mathrm{F}^{-}\left(aq\right)\) Step 2: Write the solubility product expression. The solubility product expression for Barium Fluoride is: \(\mathrm{K}_{sp} = [\mathrm{Ba}^{2+}][\mathrm{F}^{-}]^2\)

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Most popular questions from this chapter

a. Calculate the molar solubility of AgBr in pure water. \(K_{\mathrm{sp}}\) for AgBr is \(5.0 \times 10^{-13}\). b. Calculate the molar solubility of \(\mathrm{AgBr}\) in \(3.0\) \(M\) \(\mathrm{NH}_{3} .\) The overall formation constant for \(\mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}^{+}\) is \(1.7 \times 10^{7}\) that is, $$\mathrm{Ag}^{+}(a q)+2 \mathrm{NH}_{3}(a q) \longrightarrow \mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}^{+}(a q) \quad K=1.7 \times 10^{7}$$ c. Compare the calculated solubilities from parts a and b. Explain any differences. d. What mass of AgBr will dissolve in \(250.0 \mathrm{mL}\) of \(3.0 M \mathrm{NH}_{3} ?\) e. What effect does adding \(\mathrm{HNO}_{3}\) have on the solubilities calculated in parts a and b?

Use the following data to calculate the \(K_{\mathrm{sp}}\) value for each solid. a. The solubility of \(\mathrm{CaC}_{2} \mathrm{O}_{4}\) is \(4.8 \times 10^{-5} \mathrm{mol} / \mathrm{L}\) b. The solubility of \(\mathrm{BiI}_{3}\) is \(1.32 \times 10^{-5} \mathrm{mol} / \mathrm{L}\)

The solubility of copper(II) hydroxide in water can be increased by adding either the base \(\mathrm{NH}_{3}\) or the acid HNO \(_{3}\). Explain. Would added \(\mathrm{NH}_{3}\) or \(\mathrm{HNO}_{3}\) have the same effect on the solubility of silver acetate or silver chloride? Explain.

The active ingredient of Pepto-Bismol is the compound bismuth subsalicylate, which undergoes the following dissociation when added to water: $$\begin{aligned} \mathrm{C}_{7} \mathrm{H}_{5} \mathrm{BiO}_{4}(s)+\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{C}_{7} \mathrm{H}_{4} \mathrm{O}_{3}^{2-}(a q) \\ +\mathrm{Bi}^{3+}(a q)+\mathrm{OH}^{-}(a q) & K=? \end{aligned}$$ If the maximum amount of bismuth subsalicylate that reacts by this reaction is \(3.2 \times 10^{-19} \mathrm{mol} / \mathrm{L},\) calculate the equilibrium constant for the preceding reaction.

What mass of ZnS \(\left(K_{\mathrm{sp}}=2.5 \times 10^{-22}\right)\) will dissolve in \(300.0 \mathrm{mL}\) of \(0.050 \mathrm{M} \mathrm{Zn}\left(\mathrm{NO}_{3}\right)_{2} ?\) Ignore the basic properties of \(\mathrm{S}^{2-}\).
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