[PDF] Chem12 SM Ch7 Section7.6 final revised





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Chem12 SM Ch7 Section7.6 final revised

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Chem12 SM Ch7 Section7.6 final revised

Copyright © 2012 Nelson Education Ltd. Chapter 7: Chemical Equilibrium 7.6-1 Section 7.6: Solubility Equilibria and the Solubility Product Constant Tutorial 1 Practice, page 462 1. Solution: [MgCO3(s)] is constant, so it is not included in the equation. Therefore, Ksp = [Mg2+(aq)][CO32-(aq)] Statement: The solubility product constant equation for the solubility equilibrium is Ksp = [Mg2+(aq)][CO32-(aq)] 2. Given: iron(III) hydroxide dissolves in water Required: Ksp equation Solution: Step 1. Write a balanced equation for the dissolution of iron(III) hydroxide in water. Fe(OH)3(s)

Fe+(aq) + 3 OH-(aq) Step 2. [Fe(OH)3(s)] is constant, so it is not included in the equation. Therefore, Ksp = [Fe+(aq)][OH-(aq)]3 Statement: The solubility product constant equation for iron(III) hydroxide is Ksp = [Fe+(aq)][OH-(aq)]3 3. Given: At 25 ºC: [Ca2+(aq)] = 4.53 × 10-7 mol/L; [PO43-(aq)] = 3.02 × 10-7 mol/L Required: Ksp of calcium phosphate at 25 ºC Solution: Step 1. Write a balanced equation for the solution equilibrium. Ca3(PO4)2(s)

3 Ca2+(aq) + 2 PO43-(aq) Step 2. Write the solubility constant equation for the equilibrium, omitting any solids. Ksp = [Ca2+(aq)]3[PO43-(aq)]2 Step 3. Substitute the given ion concentrations into the Ksp equation and solve. K

sp =[Ca 2+ (aq)] 3 [PO 4 !!3! (aq)] 2 =(4.53!"!10 !7 3 (3.02!"!10 !7 2 K sp =8.48!"!10 !33 Statement: The Ksp of calcium phosphate in a saturated solution at 25 °C is

8.48 ! 10

"33

Tutorial 2 Practice, page 464 1. Given: solubility of MgF2(s) = 1.72 × 10-3 g/100 mL at 25 ºC Required: Ksp of MgF2(s) at 25 ºC Solution: Step 1. Write the balanced equation. MgF2(s)

Mg2+(aq) + 2 F-(aq) Step 2. Write the solubility product constant equation. K sp =[Mg 2+ (aq)][F (aq)] 2

Step 3. Determine the equilibrium concentrations in mol/L of the dissolved ions. Use an ICE table. Since the concentration of solid MgF2 remains constant, it is not included.

Copyright © 2012 Nelson Education Ltd. Chapter 7: Chemical Equilibrium 7.6-2 MgF2(s)

Mg2+(aq) + 2 F-(aq) I - 0.00 0.00 C - +x +2x E - x 2x Step 4. Calculate all concentrations in mol/L. To convert given mass solubility of solid magnesium fluoride to molar solubility, first calculate the molar mass of magnesium fluoride. Then, use the molar mass to convert mass solubility to molar solubility. molar mass of MgF

2 =24.31! g mol +(2)19.00! g mol molar mass of MgF 2 =62.31 g/mol molar solubility of MgF 2

1.72 ! 10

"3 g

100 mL

1 mol

62.31 g

1000 mL

1 L molar solubility of MgF 2 =2.76!10 "4 mol/L

Step 5. Write the Ksp equation using the expressions in the ICE table, and then substitute the molar solubility of solid magnesium fluoride for x. K

sp =[Mg 2+ (aq)][F (aq)] 2 =(x)(2x) 2 =(2.76!!!10 "4 )(5.52!!!10 "4 2 K sp =8.41!!!10 "11 Statement: The solubility product constant of solid magnesium fluoride is

8.41 ! 10

"11

2. Given: Ksp of AgI(s) at 25 ºC = 8.5 × 10-17 Required: molar solubility of AgI(s) at 25 ºC Solution: Step 1. Write the balanced chemical equation. AgI(s)

Ag+(aq) + I-(aq) Step 2. Write the solubility product constant equation. K sp =[Ag (aq)][I (aq)] [Ag (aq)]=[I (aq)] K sp =[Ag (aq)] 2

Step 3. Determine the equilibrium concentrations of the dissolved ions. From the balanced equation, the molar ratio is 1:1:1, so the concentrations of these ions are equal at any point in time. Since the solubility of solid silver iodide is 8.5 × 10-17 mol/L, then a maximum of 8.5 × 10-17 mol of solid silver iodide can dissolve in water to produce 1.0 L of solution at 25 °C. This will form 8.5 × 10-17 mol of silver ions and 8.5 × 10-17 mol of iodide ions. Therefore, the equilibrium concentrations of these ions are also equal to 8.5 × 10-17 mol/L. Step 4. Substitute the equilibrium concentrations into the Ksp equation and solve for Ksp.

Copyright © 2012 Nelson Education Ltd. Chapter 7: Chemical Equilibrium 7.6-3 K sp =[Ag (aq)] 2

8.5!!!10

"7 =[Ag (aq)] 2 [Ag (aq)]=8.5!!!10 "17 [Agquotesdbs_dbs2.pdfusesText_2
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