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BUFFER – A solution of about equal amounts of a weak acid and its BUFFER – A solution of about equal amounts of a weak acid and its

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BUFFER – A solution of about equal amounts of a weak acid and its - PPT Presentation

weak conjugate base A buffer is resistant to changes in pH because it can neutralize any strong acid or base added to it 2A1 of 14 SOLUTION EQUILIBRIA A solution contains both HF and F ID: 710005

mol solution weak acid solution mol acid weak base log naoh strong calculate buffer 400 moles 0200 sodium 100

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Slide1

BUFFER – A solution of about equal amounts of a weak acid and its weak conjugate baseA buffer is resistant to changes in pH because it can neutralize any strong acid or base added to it

2A-1 (of 16)

SOLUTION EQUILIBRIASlide2

A solution contains both HF and F

-

Weak acid:

Weak conjugate base:

2 HF

2F

-

1 HCl molecule

If a strong acid is added to the buffer:

2A-2 (of 16)

1 H

3

O

+Slide3

A solution contains both HF and F

-

Weak acid:

Weak conjugate base:

2 HF

2 F

-

1 HCl molecule

If a strong acid is added to the buffer:

2A-3

(of 16)

it is reacted away completely by the WEAK CONJUGATE BASE (F

-

)

now 3 HF

now 1 F

-

1 H

3

O

+

still 1 H

3

O

+Slide4

A solution contains both HF and F

-

Weak acid:

Weak conjugate

base:

2 HF

2 F

-

If a strong base is added to the buffer:

it is reacted away completely by the WEAK ACID (HF)

1 OH

-

ion

2A-4

(of

16)

1 H

3

O

+

now 1 HF

now 3 F

-

still 1 H

3

O

+Slide5

The higher the concentrations of the weak acid and weak conjugate base in the buffer, the more strong

acid or strong base it can neutralizeThis buffer can neutralize

2 H

3

O

+

’s and 2 OH-’s

2A-5 (of 16)Slide6

Calculate the pH of a solution 0.25 M in hydrofluoric acid (Ka = 7.2 x 10-4) and 0.50 M in sodium fluoride

x

0.50 + x

HF

(aq

) + H2O (l) ⇆ H3O+ (aq) + F- (aq)

Initial M’sChange in M’sEquilibrium M’s

0.25~0

0.50

- x

+ x

+ x

0.25

- x

K

a

= [H

3

O

+

][F

-

]

_____________

[HF]

7.2

x

10

-4

=

x(0.50 + x)

______________

(0.25

– x)

7.2

x

10

-4

= x(0.50)

_________ 0.25 x = 3.6 x 10-4

2A-6

(of

16)

pH = 3.44

= [H

3

O

+

]

For a buffer: calculate its pH from either the

K

a

of the weak acid (HF) or the

K

b

of the weak conjugate base (F

-

)

CALCULATING THE pH OF A BUFFER SOLUTIONSlide7

[H3

O+] x [F-] = Ka _____ [HF]

-

log [

H

3

O

+] - log [F-] _____ [HF]

Calculate the pH of a solution 0.25 M in hydrofluoric acid (Ka = 7.2 x 10-4) and 0.50 M in sodium fluoride

2A-7 (of 16)

CALCULATING THE pH OF A BUFFER SOLUTION

[H

3

O

+

] x [F

-

]

=

K

a

_____

[HF]

pH - log [F-] = pKa _____ [HF]

=

- log

K

a

[H

3

O

+

][F

-

] =

K

a

____________

[HF]

pH

=

p

K

a

+

log

[F

-

]

_____

[HF]

log

[

H

3

O

+

] + log

[F

-

]

_____

[HF]

=

log

K

a

logSlide8

pH = pK

a + log [A-] _____ [HA]

HENDERSON-HASSELBALCH EQUATION

Calculate the pH of a solution 0.25 M in hydrofluoric acid (

K

a

= 7.2 x 10

-4

) and 0.50 M in sodium fluoride

CALCULATING THE pH OF A BUFFER SOLUTION2A-8 (of 16)Slide9

DAVID HASSELHOFF EQUATION

This can be used when a solution contains

both a weak acid and its weak conjugate base

Calculate the pH of a solution 0.25 M in hydrofluoric acid (

K

a

= 7.2 x 10

-4) and 0.50 M in sodium fluoride

CALCULATING THE pH OF A BUFFER SOLUTION

2A-9 (of 16)

pH = pKa + log [A-] _____ [HA]Slide10

pH

= pKa + log [weak conj base] ______________________ [weak acid]

pH

= p

K

a

+

log (nweak conj base) _________________ (nweak acid)

Calculate the pH of a solution 0.25 M in hydrofluoric acid (

Ka = 7.2 x 10-4) and 0.50 M in sodium fluoride

CALCULATING THE pH OF A BUFFER SOLUTION

Useful when buffers are produced from mixing different solutions together

pH

= p

K

a

+

log

(

n

w

eak

conj

base

) /

vol ________________________ (nweak ccid) / vol

2A-10

(of

16)Slide11

Calculate the pH of a solution 0.25 M in hydrofluoric acid (Ka = 7.2 x 10-4) and 0.50 M in sodium fluoride

CALCULATING THE pH OF A BUFFER SOLUTION

p

K

a

=

-log Ka

pH = pKa + log [F-]

_____ [HF]

= -log (7.2 x 10-4)

= 3.14

3

= 3.14

3

+

log (0.50 M)

__________

(0.25 M)

= 3.44

Determine the

p

K

a

of the weak acid

Use the David Hasselholf Equation

2A-11

(of

16)Slide12

Find the pH of a solution that is prepared by mixing 150. mL of 0.300 M nitrous acid (Ka = 4.0 x 10

-4) and 100. mL of 0.200 M sodium nitrite.

2A-12

(of

16)

HNO

2

: Weak Acid

NaNO

2

: Salt w/ Weak Conj. Base

Solutions are mixed

calculate

the

moles

of all

species present

x

0.150

L solution

= 0.0450

mol

HNO

2

0.300

mol

HNO

2

____________________

L

solution

0.200 M NaN

O

2

 0.200 M Na

+

and 0.200 M NO

2

-

x

0.100

L solution

= 0.0200

mol

N

O

2

-

0.200

mol

N

O

2

-

___________________

L

solutionSlide13

pK

a = -log Ka

pH

=

p

K

a + log nNO2- _______ nHNO2

= -log (4.0 x 10-4

)

= 3.398

= 3.39

8

+

log (0.0200

mol

)

_______________

(0.0450

mol

)

= 3.05

Determine the pKa of the weak acid

Use the David Hasselholf Equation

Find the pH of a solution that is prepared by mixing 150. mL of 0.300

M

nitrous acid (

K

a

= 4.0 x 10

-4

) and 100. mL of 0.200 M sodium nitrite.

HNO

2

: Weak Acid

NaNO

2

: Salt w/ Weak Conj. Base

2A-13

(of

16) Slide14

Find the pH of a buffer solution that is prepared by mixing 300. mL of 2.50 M acetic acid (Ka = 1.8 x 10-5) and 200. mL of 2.50

M sodium acetate.

2A-14

(of

16)

HC

2

H3O2

: Weak Acid

NaC

2H3O2

: Salt w/ Weak Conj. Base

Solutions are mixed

calculate

the

moles

of all

species present

x

0.300

L solution

= 0.750

mol

HC

2

H

3

O

2

2.50

mol

HC

2

H

3

O

2

_______________________

L

solution

2.50

M Na

C

2

H

3O2

 2.50 M Na

+

and 2.50 M C

2

H

3

O

2

-

x

0.200

L solution

= 0.500

mol

C

2

H

3

O

2

-

2.50

mol

C

2

H

3

O

2

-

______________________

L

solutionSlide15

pK

a = -log Ka

pH

=

p

K

a + log nC2H3O2- __________ nHC2H3O2

= -log (1.8 x 10

-5)

= 4.745

= 4.74

5

+

log (0.500

mol

)

______________

(0.750

mol

)

= 4.57

Determine the pK

a

of the weak acid

Use the David Hasselholf Equation

Find the pH of a buffer solution that is prepared by mixing 300. mL of 2.50

M

acetic acid (

K

a

= 1.8 x 10

-5

) and 200. mL of 2.50 M sodium acetate.

HC

2

H

3

O

2

: Weak Acid

NaC

2

H

3

O

2

: Salt w/ Weak Conj. Base

2A-15

(of

16) Slide16

What must be the [HNO2]/[NO2-] to make a buffer with a pH = 3.50?

2A-16 (of 16)

pH =

pK

a

+ log

[NO2-] _________ [HNO

2]

3.50 = 3.398 + log [NO2-] _________

[HNO2]

0.10

2

= log [

NO

2

-

]

_________

[HNO

2]

1.2

6 = [NO2-] _________ [HNO2]

[HNO

2

] = 0.79

_________

[NO

2

-

]

HNO

2

: Weak Acid

NO

2

-

: Weak Conjugate Base

A good buffer has close to a 1:1 ratio of weak acid to weak conjugate base (but no more than a 10:1

or 1:10 ratio

)

This will happen if the

pK

a

of the weak acid is within 1 pH unit of the desired pH of the bufferSlide17
Slide18

Find the pH of 500. mL of a buffer solution that is 1.50 M in acetic acid and 1.00 M in sodium acetate if 0.100 moles of sodium hydroxide are added.

2B-1 (of 14)

Solutions mixed, so calculate

the moles of all species present

HC

2

H

3

O2

: Weak Acid

NaC

2

H

3

O

2

: Salt

w/

Weak Conj. Base

NaOH

: Strong Base

x

0.500

L solution

= 0.750

mol

HC

2

H

3

O

2

1.50

mol

HC

2

H

3

O

2

_______________________

L

solution

 0.500

mol

C

2

H

3

O

2

-

x

0.500

L

sol’n

= 0.500

mol

Na

C

2

H

3

O

2

1.00

mol

Na

C

2

H

3

O

2

________________________

L

solution

0.100

mol

NaOH

 0.100

mol

OH

-Slide19

Find the pH of 500. mL of a buffer solution that is 1.50 M in acetic acid and 1.00 M in sodium acetate if 0.100 moles of sodium hydroxide are added.

2B-2 (of 14)

STRONG

bases react

COMPLETELY

with acids

OH- (aq) + HC2H3O

2 (aq) → H2O (l) + C2H3O2- (aq)

HC

2H3O2

: Weak Acid

NaC

2

H

3

O

2

: Salt

w/

Weak Conj. Base

NaOH

: Strong Base

Initial

moles

Reacting moles

Final moles

0.100

0.500

0

0.600

– 0.100

+ 0.100

0.750

0.650

– 0.100

an amount of weak acid is reacted away that is equal to the amount of strong base

an amount of weak base is produced that is equal to

the amount of strong baseSlide20

Find the pH of 500. mL of a buffer solution that is 1.50 M in acetic acid and 1.00 M in sodium acetate if 0.100 moles of sodium hydroxide are added.

2B-3 (of 14)

Amend the

David Hasselholf Equation

pH

=

p

Ka + log nC

2H3O2- __________ nHC2H3O2

+

n

OH-

____________

n

OH

-

= 4.74

5

+

log (0.500

mol

+ 0.100

mol) ______________________________ (0.750 mol – 0.100 mol)

= 4.71

HC

2

H

3

O

2

: Weak Acid

NaC

2

H

3

O

2

: Salt

w/

Weak Conj. Base

NaOH

: Strong BaseSlide21

200. mL of a solution 0.40 M in ammonia (Kb = 1.8 x 10-5) and 0.30 M in ammonium chloride are mixed with 100. mL of 0.45 M hydrochloric acid. Find the pH.

2B-4 (of 14)

NH

3

: Weak Base

NH

4

Cl

: Salt

w/

Weak Conj. Acid

HCl

: Strong Acid

Calculate

the moles of all species present

x

0.200

L solution

= 0.080

mol

NH

3

0.40

mol

NH

3

_________________

L

solution

x

0.200

L solution

= 0.060

mol

NH

4

Cl

0.30

mol

NH

4

Cl

___________________

L

solution

x

0.100

L solution

= 0.045

mol

HCl

0.45

mol

HCl

_________________

L

solution

 0.045

mol

H

3

O

+

 0.060

mol

NH

4

+Slide22

200. mL of a solution 0.40 M in ammonia (Kb = 1.8 x 10-5) and 0.30 M in ammonium chloride are mixed with 100. mL of 0.45 M hydrochloric acid. Find the pH.

2B-5 (of 14)

H

3

O

+ (aq) + NH3

(aq) →

STRONG acids react COMPLETELY with basesH2O (l) + NH4+ (aq)

NH

3

: Weak Base

NH

4

Cl

: Salt

w/

Weak Conj. Acid

HCl

: Strong Acid

Initial moles

Reacting moles

Final moles

0.080

0.060

0.035

0.105

– 0.045

+ 0.045

0.045

0

– 0.045

an amount of weak

base

is reacted away that is equal to the amount of strong

acid

an amount of weak

acid

is produced that is equal to

the amount of strong

acidSlide23

200. mL of a solution 0.40 M in ammonia (Kb = 1.8 x 10-5) and 0.30 M in ammonium chloride are mixed with 100. mL of 0.45 M hydrochloric acid. Find the pH.

2B-6 (of 14)

Determine the

p

K

a

of the weak acid

Kw =

Ka Kb

Kw = Ka ____Kb

= 5.5

6

x 10

-10

= 1.00 x 10

-14

______________

1.8 x 10

-5

p

K

a

= -log

K

a

= -log (5.5

6

x 10

-10

)

= 9.25

5

NH

3

: Weak Base

NH

4

Cl

: Salt

w/

Weak Conj. Acid

HCl

: Strong AcidSlide24

200. mL of a solution 0.40 M in ammonia (Kb = 1.8 x 10-5) and 0.30 M in ammonium chloride are mixed with 100. mL of 0.45 M hydrochloric acid. Find the pH.

2B-7 (of 14)

Amend the David Hasselholf Equation

pH

=

p

K

a + log n

NH3 ______ nNH4+

– nH3O

+ ____________

+ n

H

3

O

+

= 9.25

5

+

log (0.080

mol

0.045

mol) _____________________________ (0.060 mol + 0.045 mol)

= 8.78

NH

3

: Weak Base

NH

4

Cl

: Salt

w/

Weak Conj. Acid

HCl

: Strong AcidSlide25

A buffer can be made by mixing solutions of:(1) a weak acid and a salt containing its weak conjugate base(2) a weak acid and a lesser amount of a strong base(3)

a weak base and a lesser amount of a strong acid2B-8

(of

14)Slide26

0.50 mol NaNO2____________________ L solution

(1) If 600. mL of 0.50 M nitrous acid (Ka = 4.0 x 10-4

) and 400. mL of 0.50 M sodium nitrite are mixed, a buffer is produced. Find the

pH.

2B-9

(of

14)

HNO

2

: Weak Acid

NaNO

2

: Salt w/ Weak Conj. Base

Calculate the moles of all species present

x 0.600

L solution

= 0.30

mol

HNO

2

0.50

mol

HNO

2

___________________

L

solution

x 0.400

L solution

= 0.20

mol

NaN

O

2

0.20

mol

N

O

2

-Slide27

pH =

pKa + log nNO2- ________ nHNO2

(1) If

600. mL of 0.50 M nitrous acid (

K

a

=

4.0 x 10-4) and 400. mL of 0.50 M sodium nitrite are mixed, a buffer is produced. Find the pH.

2B-10 (of 14)

pKa = -log Ka

= -log (4.0 x 10

-4

)

= 3.39

8

= 3.39

8

+

log (0.20

mol

)

_____________

(0.30 mol)

= 3.22

Determine the p

K

a

of the weak acid

Use the David Hasselholf Equation

HNO

2

: Weak Acid

NaNO

2

: Salt w/ Weak Conj. BaseSlide28

(2) If 600. mL of 0.50 M nitrous acid and 400. mL of 0.50 M sodium hydroxide are mixed, a buffer is produced. Find the pH.

2B-11 (of 14)

Calculate the moles of all species

x

0.600

L solution

= 0.30

mol

HNO2

0.50 mol HNO2___________________ L solution

x

0.400

L solution

= 0.20

mol

NaOH

0.50

mol

NaOH

___________________

L

solution

HNO

2

: Weak Acid

NaOH

: (Lesser Amount of) Strong Base

0.20

mol

OH

-Slide29

(2) If 600. mL of 0.50 M nitrous acid and 400. mL of 0.50 M sodium hydroxide are mixed, a buffer is produced. Find the pH.

2B-12 (of 14)

Use

the

Amended David

Hasselholf Equation

pH

=

pKa + log nNO2

- _______ nHNO2

+ nOH- __________

– nOH-

= 3.39

8

+

log (0

mol

+ 0.20

mol

)

__________________________ (0.30 mol – 0.20 mol)

= 3.70

HNO

2

: Weak Acid

NaOH

: (Lesser Amount of) Strong BaseSlide30

(3) If 500. mL of 0.60 M sodium nitrite and 250. mL of 0.80 M hydrochloric acid are mixed, a buffer is produced. Find the pH.

2B-13 (of 14)

Calculate the moles of all species

x

0.500

L solution

= 0.30

mol

NaNO2

0.60 mol NaNO2____________________ L solution

x

0.250

L solution

= 0.20

mol

HCl

0.80

mol

HCl

_________________

L

solution

NaNO

2

: Salt w/ Weak Conj. Base

HCl

: (Lesser Amount of) Strong Acid

0.30

mol

NO

2

-

0.20

mol

H

3

O

+Slide31

(3) If 500. mL of 0.60 M sodium nitrite and 250. mL of 0.80 M hydrochloric acid are mixed, a buffer is produced. Find the pH.

2B-14 (of 14)

Use

the

Amended David

Hasselholf Equation

pH

=

pKa + log nNO2

- _______ nHNO2

– nH3O+

_

___________ + n

H

3

O

+

= 3.39

8

+

log (0.30

mol

– 0.20

mol) ___________________________ (0 mol + 0.20 mol)

= 3.10

NaNO

2

: Salt w/ Weak Conj. Base

HCl

: (Lesser Amount of) Strong AcidSlide32
Slide33

ACID-BASE TITRATIONS2C-1 (of 17)Acid-base titrations use a STRONG BASE to completely neutralize an acid, or a STRONG ACID to completely neutralize a base……because strong acids or bases react to completionWhen the moles of base added equals the moles of acid in the flask, the acid has been neutralizedNeutralization turns acid molecules into their conjugate bases

OH- + HA → A- + H2OWhen all of the acid has been neutralized (all converted into its conjugate base), this is called the EQUIVALENCE POINTAn indicator can be used to signal when all of the acid has been neutralizedSlide34

20.0 mL of an HA solution titrated with a 0.400 M NaOH solution.(a) Calculate the molarity of the HA solution if 50.0 mL of the NaOH solution are needed to reach the equivalence point.are

x 1 ____________ 0.0200 L NaOH + HA →

NaA

+ H(OH)

0.400 M

50.0 mL

x M20.0 mL1 mol1 molx 1 mol HA ________________ 1 mol NaOH

0.400 mol NaOH x 0.0500 L _____________________ L =

1.00 M HA2C-2 (of 17)Stoichiometric calculation: strong bases react to completionisSlide35

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(b) Calculate the pH of the 1.00 M HA solution before the titration if the Ka of HA is 1.0 x 10

-5.2C-3 (of 17)xx HA

(

aq

) +

H

2O (l) ⇆ H3O+ (aq

) + A- (aq) Initial M’s Change in M’s Equilibrium M’s1.00~00

- x+ x+ x1.00 - xThe pH of a weak acid is an equilibrium calculation determined from an ICE table for the ionization reaction of the weak acidSlide36

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(b) Calculate the pH of the 1.00 M HA solution before the titration if the Ka of HA is 1.0 x 10-5.

2C-4 (of 17)Ka = [H3O+][A-] ____________

[HA]

1.0

x 10

-5 = x2 ____________ (1.00 – x)

3.16 x 10-3 M = x pH = -log (3.16 x 10-3)= 2.50

The pH of a weak acid is an equilibrium calculation determined from an ICE table for the ionization reaction of the weak acidSlide37

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(c) Calculate the pH of the solution after 10.0 mL of the NaOH was added.2C-5 (of 17) This solution will contain both a weak acid and its conjugate base

A buffer with solutions mixed: calculate moles of all species x 0.0200 L solution

= 0.0200

mol

HA

1.00

mol

HA_______________ L solution

x 0.0100 L solution

= 0.00400 mol OH-

0.400

mol

OH

-

_________________

L

solutionSlide38

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(c) Calculate the pH of the solution after 10.0 mL of the NaOH was added.2C-6 (of 17)

Use the Amended David Hasselholf Equation

pH

=

p

K

a + log nA- ______ nHA

+

nOH- __________ – nOH-

= 5.00

+ log (0

mol + 0.00400 mol

)

___________________________________

(0.0200

mol – 0.00400 mol

)

= 4.40Slide39

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(d) Calculate the pH of the solution after 25.0 mL of the NaOH was added.2C-7 (of 17) A buffer with solutions mixed: calculate moles of all species

x 0.0200 L solution

= 0.0200

mol

HA

1.00

mol HA________________ L solution

x

0.0250 L solution

= 0.0100 mol OH-

0.400

mol

OH

-

__________________

L

solutionSlide40

+ n

OH- __________ – nOH-20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(d) Calculate the pH of the solution after 25.0 mL of the NaOH was added.

2C-8

(of

17)

Use

the

Amended David Hasselholf Equation

pH

= pKa + log nA- _____ nHA

= 5.00

+

log (0

mol

+ 0.0100

mol

)

_________________________________

(0.0200 mol – 0.0100

mol)

= 5.00

At the half equivalence point, pH =

pKaSlide41

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(e) Calculate the pH of the solution at the equivalence point. (remembering 50.0 mL of base are needed) Calculate moles of all species2C-9 (of 17)

x 0.0200 L solution

= 0.0200

mol

HA

1.00

mol HA________________ L solution

x

0.0500 L solution

= 0.0200 mol OH-

0.400

mol OH-

__________________

L

solution

At the equivalence point, the solution only contains the weak conjugate baseSlide42

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(e) Calculate the pH of the solution at the equivalence point.2C-10 (of 17)The pH of a weak base is determined from an ICE table for the reaction of the weak base with water (its Kb reaction)

At the equivalence point, the solution only contains the weak conjugate base 0.0200 mol of HA is converted to 0.0200 mol A-

K

b

=

Kw ____ Ka

= 1.0 x 10-9= 1.00 x 10-14 ______________ 1.0 x 10-5

Calculate the Kb of the weak base A-Slide43

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(e) Calculate the pH of the solution at the equivalence point.2C-11 (of 17)The pH of a weak base is determined from an ICE table for the reaction of the weak base with water (its Kb reaction)

At the equivalence point, the solution only contains the weak conjugate base 0.0200 mol of HA is converted to 0.0200 mol A-

Calculate the molarity of the A

-

at the equivalence point

= 0.285

7

M A

-

0.0200 mol A-______________________0.0200 + 0.0500 LSlide44

A- (aq) + H2O (l) ⇆ HA (aq) + OH- (aq) Initial M’s Change

in M’s Equilibrium M’s0.2857x x0~0

- x

+ x

+ x

0.285

7

- x20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(e) Calculate the pH of the solution at the equivalence point.

Kb = [HA][OH-] _____________ [A-]

1.0 x 10-9 = x2 _______________ (0.2857 – x)

1.69 x 10-5 = x 4.77 = pOH

= [OH

-

]

9.23 = pH

2C-12

(of

17)Slide45

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(f) Calculate the pH of the solution after 60.0 mL of the NaOH was added.2C-13 (of 17)

Calculate moles of all species

x

0.0200

L solution

= 0.0200

mol

HA

1.00 mol HA________________ L solution

x 0.0600 L solution

= 0.0240 mol OH-

0.400

mol

OH

-

__________________

L

solution

There are 0.0240 – 0.0200 = 0.0040 moles of

EXCESS

strong baseSlide46

20.0 mL of an HA solution are titrated with a 0.400 M NaOH solution.(f) Calculate the pH of the solution after 60.0 mL of the NaOH was added.2C-14 (of 17)

Calculate the molarity of the

EXCESS

OH

-

in the solution

= 0.050 M

OH-

0.0040 mol OH-______________________0.0200 + 0.0600 LpOH = 1.30

pH = 12.70 Slide47

At the half-equivalence point :half HA, half A-  pH = pKa

At the start : pure HAAt the equivalence point : pure A-A weak acid-strong base titration produces an equivalence point pH > 7 because:Weak Acid-Strong Base Titration Curve (HA and

NaOH

)

2C-15

(of

17)NaOH + HA →

NaA + H(OH)from NaOH (a strong base) 

Na+ is a non acid

from HA (a weak acid)  A- is a weak baseSlide48

pH =

pKa + log [Ind-] ________ [HInd]INDICATORS

Phenolphthalein is a weak organic acid (

p

K

a

= 9.75)

colorless pink HInd (aq) + H2O (l) ⇆ H3O+ (aq)

+ Ind- (aq)The color change technically occurs when [Ind

-] = [Hind]A solution is colorless if it has more HInd

2C-16 (of 17)Phenolphthalein has a pKa = 9.75, so it will change color at pH = 9.75

 good for titrations in which the equivalence point pH is slightly basic

so when …

pH

=

p

K

a

, pink

if

it has more

Ind

-Slide49

A strong acid-strong base titration produces an equivalence point pH = 7 because:Strong Acid-Strong Base Titration Curve (HZ and NaOH)An indicator with a pKa = 7 should be used for this titration

2C-17 (of 17) NaOH + HZ → NaZ + H(OH)

from

(add OH

-

)

NaOH

which is a strong base ∴ Na+ is a non acid

from (add H+’s) HZwhich is a strong acid∴ Z- is a non base