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Chapter 8 Acids and Bases and Oxidation-Reduction Denniston Topping Caret 5 th Edition Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Chapter 8

Acids and Bases and Oxidation-Reduction

Denniston Topping Caret

5th Edition

Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

8.1 Acids and Bases

• Acids: Taste sour, dissolve some metals, cause plant dye to change color

• Bases: Taste bitter, are slippery, are corrosive

• Two theories that help us to understand the chemistry of acids and bases1. Arrhenius Theory

2. Brønsted-Lowry Theory

8.1

Aci

ds a

nd B

ases

• Acid - a substance, when dissolved in water, dissociates to produce hydrogen ions– Hydrogen ion: H+ also called “protons”

HCl is an acid:

HCl(aq) H+(aq) + Cl-(aq)

Arrhenius Theory of Acids and Bases

8.1

Aci

ds a

nd B

ases

Arrhenius Theory of Acids and Bases

• Base - a substance, when dissolved in water, dissociates to produce hydroxide ions

NaOH is a base

NaOH(aq) Na+(aq) + OH-(aq)

8.1

Aci

ds a

nd B

ases

Arrhenius Theory of Acids and Bases

• Where does NH3 fit?

• When it dissolves in water it has basic properties but it does not have OH- ions in it

• The next acid-base theory gives us a broader view of acids and bases

8.1

Aci

ds a

nd B

ases

Brønsted-Lowry Theory of Acids and Bases

• Acid - proton donor

• Base - proton acceptor– Notice that acid and base are not defined

using water– When writing the reactions, both accepting

and donation are evident

HCl(aq) + H2O(l) Cl-(aq) + H3O+(aq)

What donated the proton? HClIs it an acid or base? Acid

What accepted the proton? H2OIs it an acid or base? Base

Brønsted-Lowry Theory of Acids and Bases

base

8.1

Aci

ds a

nd B

ases

acid

.

base acidNH3(aq) + H2O(l) NH4

+(aq) + OH-(aq)

8.1

Aci

ds a

nd B

ases

Brønsted-Lowry Theory of Acids and Bases

Now, let us look at NH3 and see why it is a

base.

Did NH3 donate or accept a proton? Accept

Is it an acid or base? Base

What is water in this reaction? Acid

Acid-Base Properties of Water

• Water possesses both acid and base properties– Amphiprotic - a substance possessing both acid

and base properties– Water is the most commonly used solvent for

both acids and bases– Solute-solvent interactions between water and

both acids and bases promote solubility and dissociation

8.1

Aci

ds a

nd B

ases

8.1

Aci

ds a

nd B

ases

Acid and Base Strength

• Acid and base strength – degree of dissociation– Not a measure of concentration– Strong acids and bases – reaction with water is

virtually 100% (Strong electrolytes)

8.1

Aci

ds a

nd B

ases

Strong Acids and Bases

• Strong Acids:– HCl, HBr, HI Hydrochloric Acid,

etc.

– HNO3 Nitric Acid

– H2SO4 Sulfuric Acid

– HClO4 Perchloric Acid

• Strong Bases:– NaOH, KOH, Ba(OH)2

– All metal hydroxides

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)

H2CO3(aq) + H2O(l) HCO3-(aq) + H3O+(aq)

8.1

Aci

ds a

nd B

ases

Weak Acids

• Weak acids and bases – only a small percent dissociates (Weak electrolytes)

• Weak acid examples:– Acetic acid:

– Carbonic Acid:

• Weak base examples:– Ammonia:

– Pyridine:

– Aniline:C6H5NH2(aq) + H2O(l) C6H5NH3

+(aq) + OH-(aq)

C5H5NH2(aq) + H2O(l) C5H5NH3+(aq) + OH-(aq)

NH3(aq) + H2O(l) NH4+(aq) + OH-(aq)

8.1

Aci

ds a

nd B

ases

Weak Bases

• The acid base reaction can be written in the general form:

• Notice the reversible arrows

• The products are also an acid and base called the conjugate acid and base

acid baseHA + B A– + HB+

8.1

Aci

ds a

nd B

ases

Conjugate Acids and Bases

acid base

• Conjugate acid - what the base becomes after it accepts a proton

• Conjugate base - what the acid becomes after it donates its proton

• Conjugate acid-base pair - the acid and base on the opposite sides of the equation

base acid

HA + B A- + HB+

8.1

Aci

ds a

nd B

ases

HA + B A– + HB+

8.1

Aci

ds a

nd B

ases

Acid-Base Dissociation

• The reversible arrow isn’t always written– Some acids or bases essentially dissociate 100%

– One way arrow is used

• HCl + H2O Cl- + H3O+ – All of the HCl is converted to Cl-

– HCl is called a strong acid – an acid that dissociates 100%

• Weak acid - one which does not dissociate 100%

8.1

Aci

ds a

nd B

ases

Conjugate Acid-Base Pairs

• Which acid is stronger:

HF or HCN? HF

• Which base is stronger:

CN- or H2O? CN -

8.1

Aci

ds a

nd B

ases

Acid-Base Practice• Write the chemical reaction for the following

acids or bases in water• Identify the conjugate acid-base pairs

1. HF (a weak acid)

2. H2S (a weak acid)

3. HNO3 (a strong acid)

4. CH3NH2 (a weak base)

Note: The degree of dissociation also defines weak and strong bases

• Pure water is virtually 100% molecular

• Very small number of molecules dissociate– Dissociation of acids and bases is often called

ionization

• Called autoionization

• Very weak electrolyte

H2O(l) + H2O(l) H3O+(aq) + OH-(aq)

8.1

Aci

ds a

nd B

ases

The Dissociation of Water

• H3O+ is called the hydronium ion• In pure water at room temperature:

– [H3O+] = 1 x 10-7 M– [OH-] = 1 x 10-7 M

• What is the equilibrium expression for:

Remember, liquids are not included in equilibrium expressions

]OH][O[HK -3eq

+=

H2O(l) + H2O(l) H3O+(aq) + OH-(aq)

8.1

Aci

ds a

nd B

ases

Hydronium Ion

• This constant is called the ion product for water and has the symbol Kw

• Since [H3O+] = [OH-] = 1.0 x 10-7 M, what is the value for Kw?

– 1.0 x 10-14

– It is unitless

]OH][O[HK -3w

+=

8.1

Aci

ds a

nd B

ases

Ion Product of Water

8.2 pH: A Measurement Scale for Acids and Bases

• pH scale - a scale that indicates the acidity or basicity of a solution– Ranges from 0 (very acidic) to 14 (very basic)

• The pH scale is rather similar to the temperature scale assigning relative values of hot and cold

• The pH of a solution is defined as:

pH = -log[H3O+]

• Use these observations to develop a concept of pH– if know one concentration, can calculate the

other

– if add an acid, [H3O+] and [OH-]

– if add a base, [OH-] and [H3O+]

– [H3O+] = [OH-] when equal amounts of acid and base are present

• In each of these cases 1 x 10-14 = [H3O+][OH-]8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases A Definition of pH

• pH of a solution can be:– Calculated if the concentration of either is

known• [H3O+] • [OH-]

– Approximated using indicator / pH paper that develops a color related to the solution pH

– Measured using a pH meter whose sensor measures an electrical property of the solution that is proportional to pH8.

2 pH

: A M

easu

rem

ent

Sca

le f

or A

cids

and

Bas

es Measuring pH

• How do we calculate the pH of a solution when either the hydronium or hydroxide ion concentration is known?

• How do we calculate the hydronium or hydroxide ion concentration when the pH is known?

• Use two facts:

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases Calculating pH

pH = -log[H3O+]

1 x 10-14 = [H3O+][OH-]

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases

Calculating pH from Acid Molarity

What is the pH of a 1.0 x 10-4 M HCl solution?

– HCl is a strong acid and dissociates in water

– If 1 mol HCl is placed in 1 L of aqueous solution it produces 1 mol [H3O+]

– 1.0 x 10-4 M HCl solution has [H3O+]=1.0x10-4M

= -log [H3O+]

= -log [1.0 x 10-4]

= -[-4.00] = 4.00

pH = -log[H3O+]

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases Calculating [H3O+] From pH

What is the [H3O+] of a solution with pH = 6.00?

• 4.00 = -log [H3O+]

• Multiply both sides of equation by –1

• -4.00 = log [H3O+]

• Take the antilog of both sides

• Antilog -4.00 = [H3O+]

• Antilog is the exponent of 10

• 1.0 x 10-4 M = [H3O+]

pH = -log[H3O+]

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases Calculating the pH of a Base

What is the pH of a 1.0 x 10-3 M KOH solution?• KOH is a strong base (as are any metal hydroxides)• 1 mol KOH dissolved and dissociated in aqueous

solution produces 1 mol OH-

• 1.0 x 10-3 M KOH solution has [OH-] = 1.0 x 10-3 M

• Solve equation for [H3O+] = 1 x 10-14 / [OH-]• [H3O+] = 1 x 10-14 / 1.0 x 10-3 = 1 x 10-11

• pH = -log [1 x 10-11]

= 11.00

1 x 10-14 = [H3O+][OH-]

pH = -log[H3O+]

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases

Calculating pH from Acid Molarity

What is the pH of a 2.5 x 10-4 M HNO3 solution?

• We know that as a strong acid HNO3

dissociates to produce 2.5 x 10-4 M [H3O+]

• pH = -log [2.5 x 10-4]

• = 3.60

pH = -log[H3O+]

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases Calculating [OH-] From pH

What is the [OH-] of a solution with pH = 4.95?

• First find [H3O+] • 4.95 = -log [H3O+]

• [H3O+] = 10-4.95 • [H3O+] = 1.12 x 10-5

• Now solve for [OH-]• [OH-] = 1 x 10-14 / 1.12 x 10-5

= 1.0 x 10-9

pH = -log[H3O+]

1 x 10-14 = [H3O+][OH-]

The pH Scale8.

2 pH

: A M

easu

rem

ent

Sca

le f

or A

cids

and

Bas

es

1.0 x 100 0.001.0 x 10-1 1.001.0 x 10-2 2.001.0 x 10-3 3.001.0 x 10-4 4.001.0 x 10-5 5.001.0 x 10-6 6.001.0 x 10-7 7.00

For a strong acidHCl molarity pH

Mor

e A

cidi

c

1.0 x 100 14.001.0 x 10-1 13.001.0 x 10-2 12.001.0 x 10-3 11.001.0 x 10-4 10.001.0 x 10-5 9.001.0 x 10-6 8.001.0 x 10-7 7.00

For a strong baseNaOH molarity pH

Mor

e ba

sic

Each 10 fold change in concentration changes the pH by one unit

8.2

pH: A

Mea

sure

men

t S

cale

for

Aci

ds a

nd B

ases

8.3 Reactions Between Acids and Bases

• Neutralization reaction - the reaction of an acid with a base to produce a salt and water

HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l) Acid Base Salt Water• Break apart into ions:

H+ + Cl- + Na+ + OH- Na+ + Cl- + H2O• Net ionic equation

– Show only the changed components– Omit any ions appearing the same on both sides of

equation = Spectator ions

H+ + OH- H2O

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

• The net ionic neutralization reaction is more accurately written:

H3O+(aq) + OH-(aq) 2H2O(l)• This equation applies to any strong acid / strong

base neutralization reaction• An analytical technique to determine the

concentration of an acid or base is titration• Titration involves the addition of measured

amount of a standard solution to neutralize the second, unknown solution

• Standard solution - solution of known concentration

Net Ionic Neutralization Reaction

Buret – long glass tube calibrated in mL which contains the standard solution

Flask contains a solution of unknown concentration plus indicator

Indicator – a substance which changes color as pH changes

Standard solution is slowly added until the color changes

The equivalence point is when the moles of H3O+ and OH- are equal

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Acid – Base Titration

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Relationship Between pH and Color in Acid-Base Indicators

Determine the Concentration of a Solution of Hydrochloric Acid• Place a known volume of acid

whose concentration is not known into a flask

• Add an indicator, experience guides selection, here phenol red is good

• Known concentration of NaOH is placed in a buret

• Drip NaOH into the flask until the indicator changes color

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Determine the Concentration of a Solution of Hydrochloric Acid

• Indicator changes color – Equivalence point is reached

– Mol OH- = Mol H3O+ present in the unknown acid

• Volume dispensed from buret is determined• Calculate acid concentration:

– Volume of Hydrochloric Acid: 25.00 mL

– Volume of NaOH added: 35.00 mL

– Concentration of NaOH: 0.1000 M

– Balanced reaction shows that HCl and NaOH react 1:1 8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Determine the Concentration of a Solution of Hydrochloric Acid

• 35.00 mL NaOH x 1L NaOH x 0.1000 mol NaOH 103 mL NaOH 1L NaOH

= 3.500 x 10-3 mol NaOH• 3.500 x 10-3 mol NaOH x 1 mol HCl 1 mol NaOH

= 3.500 x 10-3 mol HCl– this amount of HCl is contained in 25.00 mL

• 3.500 x 10-3 mol HCl x 103 mL HCl 25.00 mL HCl 1 L HCl• = 1.400 x 10-1 mol HCl / L HCl = 0.1400 M HCl8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Determine the Concentration of a Solution of Hydrochloric Acid

• Alternative strategy to solve the acid concentration

(Macid)(Vacid) = (Mbase)(Vbase)

• (Macid) = (Mbase)(Vbase) (Vacid)• (Macid) = (0.1000 M) (35.00 mL) (25.00 mL)• = 0.1400 M HCl

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Calculating the Concentration of Sodium Hydroxide

Calculate [NaOH] if 25.00 mL of this solution were required to neutralized 45.00 mL of 0.3000 M HCl•Alternative strategy to solve the acid concentration

(Macid)(Vacid) = (Mbase)(Vbase)

•(Mbase) = (Macid)(Vacid) (Vbase)

•(Mbase) = (0.3000 M) (45.00 mL) (25.00 mL)

= 0.5400 M NaOH

• The previous examples have the acid and base at a 1:1 combining ratio

– Not all acid-base pairs do this

• Polyprotic substance - donates or accepts more than one proton per formula unit

– Hydrochloric acid is monoprotic, producing one H+ ion for each unit of HCl

– Sulfuric acid is diprotic, each unit of H2SO4 produces 2 H+ ions

H2SO4(aq) + 2NaOH(aq) Na2SO4(aq) + 2 H2O(l)8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Polyprotic Substances

Step 1.

H2SO4(aq) + H2O(l) HSO4-(aq) + H3O+(aq)

Step 2.

HSO4-(aq) + H2O(l) SO4

2-(aq) + H3O+(aq)

• In Step 1, H2SO4 behaves as a strong acid – dissociating completely

• In Step 2, HSO4-( behaves as a weak acid – reversibly dissociating,

note the double arrow

8.3

Rea

ctio

ns B

etw

een

Aci

ds a

nd B

ases

Dissociation of Polyprotic Substances

8.4 Acid-Base Buffers

• Buffer solution - solution which resists large changes in pH when either acids or bases are added

• These solutions are frequently prepared in laboratories to maintain optimum conditions for chemical reactions

• Buffers are also used routinely in commercial products to maintain optimum conditions for product behavior

8.4

Aci

d-B

ase

Buf

fers

• Buffers act to establish an equilibrium between a conjugate acid – base pair

• Buffers consist of either– a weak acid and its salt (conjugate base)– a weak base and its salt (conjugate acid)

– Acetic acid (CH3COOH) with sodium acetate (CH3COONa)

• An equilibrium is established in solution between the acid and the salt anion• A buffer is Le Chatelier’s principle in action

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)

The Buffer Process

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)8.4

Aci

d-B

ase

Buf

fers

Addition of Base (OH-) to a Buffer Solution

• Adding a basic substance to a buffer causes changes– The OH- will react with the H3O+ producing water– Acid in the buffer system dissociates to replace

the H3O+ consumed by the added base– Net result is to maintain the pH close to the initial

level

• The loss of H3O+ (the stress) is compensated by the dissociation of the acid to produce more H3O+

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)8.4

Aci

d-B

ase

Buf

fers

Addition of Acid (H3O+) to a Buffer Solution

• Adding an acidic substance to a buffer causes changes– The H3O+ from the acid will increase the overall

H3O+ – Conjugate base in the buffer system reacts with the

H3O+ to form more acid– Net result is to maintain the H3O+ concentration and

the pH close to the initial level

• The gain of H3O+ (the stress) is compensated by the reaction of the conjugate base to produce more acid

8.4

Aci

d-B

ase

Buf

fers

Buffer Capacity

• Buffer capacity - a measure of the ability of a solution to resist large changes in pH when a strong acid or strong base is added

• Also described as the amount of strong acid or strong base that a buffer can neutralize without significantly changing pH

• Buffering process is an equilibrium reaction described by an equilibrium-constant expression

– In acids, this constant is Ka

• If you want to know the pH of the buffer, solve for [H3O+], then calculate pH

COOH]CH[

]COOCH][OH[K

3

-33

a

+

=

8.4

Aci

d-B

ase

Buf

fers

Preparation of a Buffer Solution

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)

8.4

Aci

d-B

ase

Buf

fers

Calculating the pH of a Buffer Solution

Calculate the pH of a buffer solution in which – Both the acetic acid (acid) and sodium acetate (salt)

concentrations are 2.0 x 10-2 M– Sodium acetate, the salt, is also the conjugate base

– Ka = 1.75 x 10-5

– [H3O+] = [acid]Ka [conjugate base] = {(2.0 x 10-2 M) x (1.75 x 10-5)} / 2.0 x 10-2 M = 1.75 x 10-5

– pH = -log 1.75 x 10-5 = 4.76

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)

COOH]CH[

]COOCH][OH[K

3

-33

a

+

=

8.4

Aci

d-B

ase

Buf

fers

Henderson-Hasselbalch Equation

• Solution of equilibrium-constant expression and pH can be combined into one operation

• Henderson-Hasselbalch equation is this combined expression

• Using these two equations:

– pKa = -log Ka just as pH = -log[H3O+]

– pKa = pH – log ( [CH3COO-] / [CH3COOH] )

– Henderson-Hasselbalch –

– pH = pKa + log( [CH3COO-] / [CH3COOH] )

CH3COOH(aq) + H2O(l) CH3COO-(aq) + H3O+(aq)

COOH]CH[

]COOCH][OH[K

3

-33

a

+

=

8.4

Aci

d-B

ase

Buf

fers

Henderson-Hasselbalch Equation

• pH = pKa + log ([CH3COO-] / [CH3COOH]) can be rewritten

– pH = pKa + log ([conjugate base] / [weak acid])

8.5 Oxidation-Reduction Processes

• Oxidation-reduction processes are responsible for many types of chemical change

• Oxidation - defined by one of the following – loss of electrons

– loss of hydrogen atoms

– gain of oxygen atoms

• Example: NaNa+ + e-

– Oxidation half reaction

8.5

Oxi

dati

on-R

educ

tion

P

roce

sses

• Reduction - defined by one of the following:– gain of electrons– gain of hydrogen– loss of oxygen

• Example: Cl + e- Cl-

– Reduction half reaction

• Cannot have oxidation without reduction

Oxidation-Reduction Processes

Na + Cl Na+ + Cl-

Oxidizing Agent• Is reduced• Gains electrons• Causes oxidation

Reducing Agent• Is oxidized• Loses electrons• Causes reduction

8.5

Oxi

dati

on-R

educ

tion

P

roce

sses

Oxidation and Reduction as Complementary Processes

Na Na+ + e-

Cl + e- Cl-

8.5

Oxi

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tion

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roce

sses

Applications of Oxidation and Reduction

• Corrosion - the deterioration of metals caused by an oxidation-reduction process

– Example: rust (oxidation of iron)

4Fe(s) + 3O2(g) 2Fe2O3(s)

• Combustion of Fossil Fuels

– Example: natural gas furnaces

CH4(g) + 2O2(g) CO2(g) + 2H2O(g)

8.5

Oxi

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roce

sses

• Bleaching

• Most bleaching agents are oxidizing agents

• The oxidation of the stains produces compounds that do not have color

– Example: Chlorine bleach - sodium hypochlorite (NaOCl)

Applications of Oxidation and Reduction

8.5

Oxi

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roce

sses

Biological Processes

• Respiration– Electron-transport chain of aerobic

respiration uses reversible oxidation and reduction of iron atoms in cytochrome c

• Metabolism– Break down of molecules into smaller pieces

by enzymes

• Is Zn oxidized or reduced?• Oxidized

• Copper is reduced8.5

Oxi

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on-R

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roce

sses

Voltaic Cells

• Voltaic cell - electrochemical cell that converts stored chemical energy into electrical energy

• Let’s consider the following reaction:

Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s)

Zn(s) + Cu2+(aq) Zn2+(aq) + Cu(s)

8.5

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sses

Voltaic Cells

• If the two reactants are placed in the same flask they cannot produce electrical current

• A voltaic cell separates the two half reactions

• This makes the electrons flow through a wire to allow the oxidation and reduction to occur

Zn Zn2+ + 2e-

Oxidationanode – electrode

where oxidation occurs

Cu2+ + 2e- CuReduction

cathode – electrode where reduction occurs

8.5

Oxi

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roce

sses

Voltaic Cell Generating Electrical Current

8.5

Oxi

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sses

Voltaic Cell Generating Electrical Current

8.5

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sses

Silver Battery• Batteries use the concept of the voltaic cell

• Modern batteries are:– Smaller

– Safer

– More dependable

8.5

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sses

Electrolysis

• Electrolysis reactions - use electrical energy to cause nonspontaneous oxidation-reduction reactions to occur

• These reactions are the reverse of a voltaic cell

– Rechargeable battery• When powering a device behaves as a voltaic cell• With time, the chemical reaction nears completion• Battery appears to “run down”• Cell reaction is reversible when battery attached to

charger

8.5

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Comparison of Voltaic and Electrolytic Cells