CHM 122Chapter 15 - Applications of Aqueous Equilibria

Neutralization:occurs when aqueous solutions of an acid and a base are mixed in the proper proportion during titration, which a reaction takes place causing acidic and basic properties of the solutions to disappear. The hydrogen ion, which is responsible for the acidic properties, has reacted with the hydroxide ion, which is responsible for the basic properties thus producing neutral water.

General neutralization

Acid + Base  Water + Salt

E.g HCl(aq) + NaOH  H2O(l) + NaCl

Types of neutralization

Strong acid and strong base

Molecular equation: HCl(aq) + NaOH(aq)  H2O(l) + NaCl(aq)

Net-ionic equation : H+aq) + -OH(aq)  H2O(l)

Weak acid and strong base

Molecular equation:HF(aq) + NaOH(aq)  H2O(l) + NaF(aq)

Net-ionic equation:HF(aq) + -OH(aq)  H2O(l) + F-(aq)

Weak base and strong acid

Molecular equation:NH3(aq) + HCl(aq)  NH4Cl(aq)

Net-ionic equation:NH3(aq) + H+(aq)  NH4+(aq)

Weak acid and weak base

Molecular equation: HCN(aq) + NH3(aq)  NH4CN(aq)

Net-ionic equation:HCN(aq) + NH3(aq)  NH4+(aq) + CN-(aq)

The Common-Ion Effect

The shift in the position of an equilibrium on addition of a substance that provides an ion in common with one of the ions already involved in the equilibrium. In other words, adding a common ion to solution decreases dissociation of acid or base.

Example: A 1.0 M solution of HF at a pH of 1.58 Ka(HF) = 6.8 x 10-4. How does the pH of the solution change when 42.0 g of NaF is added to the solution? Assume the volume remains constant at 2.0 L.

First consider what happens to equilibrium when F- is added?

HF (aq) + H2O(l)H3O+ (aq) + F- (aq)

- Equilibrium will shift to the left.

- H3O+will decrease, (increase pH).

15.3 Buffer Solutions

A solution that resists changes in pH when a small amount of acid or base is added. The best buffer systems consist of either

a) a weak acid and a salt containing its conjugate base (e.g. HC2H3O2 and NaC2H3O2);

b) a weak base and a salt containing its conjugate acid (e.g. NH3 and NH4Cl).

Why?

While a weak acid will partially ionize to produce its conjugate base, it will not produce enough conjugate base to be considered a buffer. (The same problem occurs for a weak base and its conjugate acid).

For these buffer systems:

1) The acid component of the buffer can neutralize added base and the base component of the buffer can neutralize added acid.

2) Since they are a conjugate acid-base pair, the acid and base in the buffer don’t react with one another.

Buffers are important in Biochemistry because many of the enzymes that make your body run are designed to work at one particular pH, if the solution doesn’t have the right pH things go wrong 

Organisms (and humans) have built-in buffers to protect them against changes in pH.

Human blood is maintained by a combination of CO3-2, PO4-3 and protein buffers.

Blood: (pH 7.4)Death = 7.0 <pH > 7.8 = Death

Buffer Problems Involving Addition of Acid or Base

Stoichiometric calculation for the acid-base neutralization reaction; assume the neutralization, reaction goes to completion:

Add a small amount of strong base (-OH) to a buffer solution

◦Acid (HA) component of solution neutralizes the added base

Buffer Solutions

Add a small amount of strong acid (H3O+) to a buffer solution

◦Base (A-) component of solution neutralizes the added acid

◦ For each of the neutralization reaction, write an equation and make a change to see how much acid and base are left

◦Since buffers contain a weak acid/base pair, you can set up the problem using either a weak

◦acid ionization reaction and Ka or a weak base ionization reaction and Kb.

Example

pH of human blood (pH = 7.4) controlled by conjugated acid-base pairs (H2CO3/HCO3-). Write an equation for this buffer mixture then neutralization equation for the following effects

◦With addition of HCl

◦With addition of NaOH

Example

Calculate the pH of 100.0 mL DI water

Calculate the new pH after adding 1.0 mL of 0.10M HCl to the above water solution. Is water a buffer solution? Why?

Example

50.0 mL of 0.100 M HCl was added to a .100L buffer consisting of 0.025 moles of sodium acetate and 0.030 moles of acetic acid. What is the pH of the buffer before and after the addition of the acid? Ka of acetic acid is 1.7 x 10-5. Assume the volume is constant

Example

a.Calculate the pH of the buffer that results from mixing 60.0mL of 0.250M HCHO2 and 15.0 mL of 0.500M NaCHO2. Ka = 1.7 x 10-4

b.Calculate the pH after addition of 8.0 mL of 0.150 M NaOH. Assume volume is additive

  1. Calculate the pH after addition of 16.0 mL of 0.150 M NaOH. Assume volume is additive.

Buffer Capacity

is the amount of acid or base the buffer can neutralize before there is a significant change in pH. The buffer capacity is a measure of the effectiveness of a buffer.

A measure of amount of acid or base that the solution can absorb without a significant change in pH.

Depends on how many moles of weak acid and conjugated base are present.

Buffer capacity is greater when larger amounts of HA and A- are present.

pH will stay relatively constant as long as [HA] and [A-] are greater than the amount of acidor base added.

Buffers work best when [HA] and [A-] are approximately equal. For buffers to be effective,the ratio of Base:Acid should be between 1:10 to 10:1.

For an equal volume of solution: the more concentrated the solution, the greater buffer capacity

For an equal concentration: the greater the volume, the greater the buffer capacity

Example

The following pictures represent solutions that contain a weak acid HA and/ or its sodium salt NaA. (Na+ ions and solvent water molecules have been omitted for clarity

Example

What is the maximum amount of acid that can be added to a buffer made by the mixing of 0.35 moles of sodium hydrogen carbonate with 0.50 moles of sodium carbonate? How much base can be added before the pH will begin to show a significant change?

15.4 The Henderson-Hasselbalch Equation

Example: Calculate the pH of a buffer solution that is 0.50 M in benzoic acid (HC7H5O2) and 0.150 M in sodium benzoate (NaC7H5O2). Ka = 6.5 x 10-5

Example: How would you prepare a NaHCO3-Na2CO3 buffer solution that has pH = 10.40 Ka2 = 4.7 x 10-11

Example

You prepare a buffer solution of .323 M NH3 and (NH4)2SO4. What molarity of (NH4)2SO4 is necessary to have a pH of 8.6? (pKb NH3= 4.74)

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