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Chapter 16 Aqueous Ionic Equilibrium

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Page 1: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Chapter 16

Aqueous Ionic Equilibrium

Page 2: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

pH / pOH Calculations

• Strong acids

• Strong bases

• Weak acids

• Weak bases

• Salts

Page 3: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

NaAc(aq) → Na+(aq) + Ac−(aq)

Calculate pH for a mixture of HAc and Ac−

HAc(aq) ⇌ H+(aq) + Ac−(aq)acid

Ac−(aq) + H2O(l) ⇌ HAc(aq) + OH−(aq)base

Page 4: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

NH4Cl(aq) → NH4+(aq) + Cl−(aq)

Calculate pH for a mixture of NH3 and NH4+

NH4+(aq) H⇌ +(aq) + NH3(aq)

acid

NH3(aq) + H2O(l) NH⇌ 4+(aq) + OH−(aq)

base

Page 5: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the pH of a solution that contains 0.100 M HAc

and 0.100 M NaAc. Ka for HAc is 1.8 x 10−5.

Example 16.1, page 716

pH = 4.74

Page 6: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

weak acid + its conjugate base = buffer solution

weak base + its conjugate acid = buffer solution

Adding H+ or OH−, pH does not change too much

Page 7: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the change in pH that occurs when 0.010 mol solid

NaOH is added to 1.0 L of the buffered solution described in

Example 16.1. Compare this pH change with that which

occurs when 0.010 mol solid NaOH is added to 1.0 L of water.

Assume there is no volume change after solid NaOH is added.

Example 16.3, page 722

Page 8: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

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[A ]pH = pK + log

[HA]

Henderson-Hasselbalch equationfor buffer solutions

pH for buffer solutions: ICE → exact answer

pH for buffer solutions: approximation

Page 9: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 10: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the pH of a solution that contains 0.50 mol/L HAc

and 0.50 mol/L NaAc. Ka for HAc is 1.8 x 10−5.

pH = 4.74

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[A ]pH = pK + log

[HA]

Example 16.1, page 716. revisited

Page 11: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the pH of a buffer solution that is 0.050 M in

benzoic acid (HC7H5O2) and 0.150 M in sodium benzoate (NaC7H5O2).

For benzoic acid, Ka = 6.5 10–5.

Example 16.2, page 718.

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[A ]pH = pK + log

[HA]

Page 12: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

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ai

[A ]pH = pK + log

[HA]

Use the Henderson–Hasselbalch equation to calculate

the pH of a buffer solution that is 0.50 M in NH3 and

0.20 M in NH4Cl. For ammonia, pKb = 4.75.

Example 16.4, page 725.

Page 13: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the change in pH that occurs when 0.010 mol gaseous

HCl is added to 1.0 L of each of the following solutions:

Solution A: 5.00 mol/L HAc and 5.00 mol/L NaAc

Solution B: 0.050 mol/L HAc and 0.050 mol/L NaAc

Ka for HAc is 1.8 x 10−5.

Page 14: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

HAc Ac− HAc Ac−

H+

HAc Ac−

H+

Solution A

HAc Ac−

Solution B

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[A ]pH = pK + log

[HA]

Page 15: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Buffer capacity

To maximize buffer capacity:

1) High [HA] and [A−]

2) [HA] = [A−] (example page 725-726)

pH = pKa

Page 16: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Titration

Page 17: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Titrate strong acid with strong base

Page 18: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 19: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the pH when the following quantities of

0.100 mol/L NaOH solution have been added to

50.0 mL of 0.100 mol/L HCl solution

a)0 mL; b) 49.0 mL;c) 50.0 mL; d) 51.0 mL;e) 60.0 mL.

a)1.000; b) 3.00;c) 7.00; d) 11.00;e) 11.96

Page 20: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

0 10 20 30 40 50 60 700

1

2

3

4

5

6

7

8

9

10

11

12

13

14

pH

mL of NaOH

equivalence point

Page 21: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 22: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 23: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Titrate weak acid with strong base

Page 24: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the pH when the following quantities of

0.100 mol/L NaOH solution have been added to

50.0 mL of 0.100 mol/L HAc solution. Ka of HAc

is 1.8 x 10−5.

a)0 mL; b) 49.0 mL; c) 50.0 mL;d) 51.0 mL; e) 60.0 mL.

A very similar example: page 733 -- 738

a)2.87; b) 6.43;c) 8.72; d) 11.00;e) 12.00

Page 25: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Chapter 17

Page 26: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 27: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

The pH Curves for the Titrations of 50.0-mL Samples of 0.10 M Acids with Various Ka Values

with 0.10 M NaOH

Page 28: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Solubility Equilibrium

Page 29: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

CaF2 (s) Ca2+ (aq) + 2F− (aq)H2O

Solubility equilibrium is established

Aqueous solution of CaF2 is saturated

Ksp = [Ca2+][F−]2

solubility product constant

“insoluble” salts

Page 30: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 31: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Write down the dissociation reactions and the expression of Ksp

Page 32: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Solid silver chromate is added to pure water at 25 °C.

Equilibrium is achieved between undissolved Ag2CrO4(s)

and its aqueous solution. Silver ion concentration is

1.3 x 10−4 mol/L. Calculate Ksp for this compound.

Page 33: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

CaF2 (s) Ca2+ (aq) + 2F− (aq)H2O

Solubility equilibrium is established

Aqueous solution of CaF2 is saturated

Solubility: the concentration of a saturated solution.

Unit: mol/L or ∙ ∙ ∙

solubility ≠ solubility product constant Ksp

Solubility ↔ Ksp

Page 34: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

value of Kc or Kp

equilibrium concentrations or pressures

Page 35: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Copper(I) bromide has a measured solubility of 2.0 x 10−4 mol/L

at 25 °C. Calculate its Ksp.

Ksp = 4.0 x 10−8

Page 36: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Bismuth sulfide (Bi2S3) has a measured solubility of

1.0 x 10−15 mol/L at 25 °C. Calculate its Ksp.

Ksp = 1.1 x 10−73

Try example 16.9 on page 746

Page 37: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

The Ksp for copper(II) iodate, Cu(IO3)2, is 1.4 x 10−7 at 25 °C.

Calculate its solubility at 25 °C.

3.3 x 10−3 M

Try example 16.8 on page 745

Page 38: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Calculate the solubility of CaF2 (Ksp = 1.46 x 10−10) in a

0.100 mol/L NaF solution.

Example 16.10, page 747

CaF2 (s) Ca2+ (aq) + 2F− (aq)H2O

Increase [Ca2+] or [F−] → equilibrium shifts to left → solubility ↓

common ion effect

Page 39: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

For Mg(OH)2 Ksp = 1.8 x 10−11. What is the pH of a saturated

solution of Mg(OH)2? What is its solubility?

Page 40: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

Suppose that solid Mg(OH)2 is equilibrated with a solution

buffered at a more acidic pH of 9.00. Ksp of Mg(OH)2 is 1.8 x 10−11

What are the [Mg2+] and solubility?

Page 41: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts
Page 42: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

CaF2 (s) Ca2+ (aq) + 2F− (aq)H2O

Q = [Ca2+][F−]2

If Q > Ksp, precipitate will form

If Q < Ksp, precipitate will not form

Page 43: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

A solution is prepared by adding 750.0 mL of 4.00 x 10−3 mol/L

Ce(NO3)3 to 300.0 mL of 2.00 x 10−2 mol/L KIO3. Will Ce(IO3)3

(Ksp = 1.9 x 10−10) precipitate from this solution?

Try example 16.12 on page 750

Page 44: Chapter 16 Aqueous Ionic Equilibrium. pH / pOH Calculations Strong acids Strong bases Weak acids Weak bases Salts

1 Ka for acetic acid (CH3COOH) is 1.8 x 10-5 while Ka for hypochlorous (HClO) ion is 3.0 x 10-8. A. Which acid is the stronger acid?B. Which is the stronger conjugate base? Acetate ion (CH3COO-) or chlorous (ClO-) ion?C. Calculate kb values for CH3COO- and ClO-. 2. a. Calculate the pH of a 1.50 L solution containing 0.750 mole of HCN and 0.62 mole of KCN. Ka = 4.0 x 10-10

b. If 0.015 mole of KOH was added, calculate the pH of the solution.

c. If 0.015 mole of HBr was added, calculate the pH of the solution.