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Chapter 19
Ionic Equilibria in Aqueous Systems
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19-#
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Ionic Equilibria in Aqueous SystemsIonic Equilibria in Aqueous Systems
19.1 Equilibria of Acid-Base Buffer Systems
19.2 Acid-Base itration Cur!es
19." Equilibria of Sli#htly Soluble Ionic Compounds
19.$ Equilibria In!ol!in# Comple% Ions
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19-$
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Figure 19.1
he effect of addition of acid or base to &
an unbuffered solution
or a buffered solution
aci! a!!e! %ase a!!e!
aci! a!!e! %ase a!!e!
Figure 19.2
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able 19.1
The '""ect o" (!!e! (cetate Ion on the )issociation o" (cetic (ci!
'C("C))(*initial 'C("C))-*added + ,issociation p(
* + )issociation CH$CH/!issoc
CH$CH/initial
0 1
.1 .
.1 .2
.1
.1 .1
.12
1.$
.$3
.14
.1#
#.49
&.&&
&.5&
&.9#
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19-2
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Figure 19.3 (o a buffer or/s.
6""er with eqalconcentrations o"
con7gate %ase an! aci!
H-
H$8
6""er a"ter a!!ition o" H$
8
H# 8 CH$CH H$8 8 CH$C
-
6""er a"ter a!!ition o" H
-
CH$CH 8 H- H# 8 CH$C
-
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19-3
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Sample 0roblem 19.1 Calculatin# the Effect of Added (") or )(-
on Buffer p(
0)B3E45 Calclate the pH
6a7 o" a %""er soltion consisting o" .2M CH$CH an! .2M CH$C:a
6b7 a"ter a!!ing .#mol o" soli! :aH to 1.; o" the %""er soltion in part
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Sample 0roblem 19.1 Calculatin# the Effect of Added (") and )(-
on Buffer p(
continued 62 of $7
CH$CH/eqil B .2M CH$C-/initial B .2MH$
8/ x
>a H$
8/CH$C-/
CH$CH/H$
8/ x >aCH$C
-/
CH$CH/ 1.401-2M
ChecA the assmption 1.401-2.2 D 1 $.301-$ +
C("C))(6 aq7 )(-
6 aq7 C("C))-
6 aq7 (2)
6l 7Concentration 647
6e"ore a!!ition
(!!ition
("ter a!!ition
6b7H-/a!!e!
.# mol
1.; soln .#M :aH
.2 - .2 -
-
-
- .# -
.&4 .2#
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Sample 0roblem 19.1 Calculatin# the Effect of Added (") and )(-
on Buffer p(
continued 6" of $7
Eet p a reaction table with the new ?ales.
C("C))(6 aq7 (2)6l 7 C("C))-6 aq7 (")
6 aq7Concentration 647
Initial
Change
'qili%rim
.&4 -
- x
.&4 - x
-
-
.2#
x
8 x 8 x
.2# 8 x
H$8/ 1.401-2
.&4
.2# 1.501-2 pH &.55
C("C))-6 aq7 (")
6 aq7 C("C))(6 aq7 (2) 6l 7Concentration 647
6e"ore a!!ition
(!!ition
("ter a!!ition
6c7 H$8/a!!e!
.# mol
1.; soln .#M H$
8
.2 - .2 -
-
-
- .# -
.&4 .2#
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Sample 0roblem 19.1 Calculatin# the Effect of Added (") and )(-
on Buffer p(
continued 6$ of $7
Eet p a reaction table with the new ?ales.
C("C))(6 aq7 (2)6l 7 C("C))-6 aq7 (")
6 aq7Concentration 647
Initial
Change
'qili%rim
.2# -
- x
.2# - x
-
-
.&4
x
8 x 8 x
.&4 8 x
H$8/ 1.401-2
.&4
.2# #.01-2 pH &.5
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he (enderson-(asselbalch Equation
(A (2) (") A-
:a ; '(")* 'A-*
'(A*
'(")* ; :a '(A*
'A-*
- lo#'(")* ; - lo# :a lo#
'A-*
'(A*
p( ; p:a lo#'base*
'acid*
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Buffer Capacity and Buffer an#e
Buffer capacity is the ability to resist p( chan#e.
Buffer ran#e is the p( ran#e o!er hich the buffer acts effecti!ely.
The more concentrate! the components o" a %""er, the greater
the %""er capacity.
The pH o" a %""er is !istinct "rom its %""er capacity.
( %""er has the highest capacity when the component
concentrations are eqal.
6""ers ha?e a sa%le range within F 1 pH nit o" the p>a o"
its aci! component.
C © G C "
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Figure 19.4 he relation beteen buffer capacity and p( chan#e.
C i ht ©Th M G Hill C i I P i i i ! " ! ti !i l
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0reparin# a Buffer
1. Choose the con7gate aci!-%ase pair.
#. Calclate the ratio o" %""er component concentrations.
$. )etermine the %""er concentration.
&. Mi0 the soltion an! a!7st the pH.
C i ht ©Th M G Hill C i I P i i i ! " ! ti !i l
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Sample 0roblem 19.2 0reparin# a Buffer
S)3I)85
0)B3E45 (n en?ironmental chemist nee!s a car%onate %""er o" pH 1.
to st!y the e""ects o" the aci! rain on limsetone-rich soils. Howmany grams o" :a#C$ mst she a!! to 1.2; o" "reshly prepare!
.#M :aHC$ to maAe the %""er >a o" HC$- is &.501-11.
03A85 @e Anow the >a an! the con7gate aci!-%ase pair. Con?ert pH to
H$8/, "in! the nm%er o" moles o" car%onate an! con?ert to mass.
(C)"-6 aq7 (2)6l 7 C)"
2-6 aq7 (")6 aq7 >a
C$#-/H$
8/
HC$-/
pH 1. H$
8/ 1.01-1 &.501-11 C$
#-/
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pH
Figure 19.5Colors and appro%imate p( ran#e of some
common acid-base indicators.
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Figure 19.6 he color chan#e of the indicator bromthymol blue.
aci!ic
%asic
change occrs
o?er #pH nits
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Figure 19.7 Cur!e for a stron# acid-stron# base
titration.
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Figure 19.8
Cur!e for a
ea/ acid-stron# base
titration.
itration of $
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Sample 0roblem 19." Calculatin# the p( ,urin# a =ea/ Acid-
Stron# Base itration
0)B3E45 Calclate the pH !ring the titration o" &. m; o" .1M
propanoic aci! a 1.$01-2= a"ter a!!ing the "ollowing
?olmes o" .1M :aH6a7 .m; 6b7 $.m; 6c7 &.m; 6d7 2.m;
03A85 The amonts o" HPr an! Pr - will %e changing !ring the titration.
Jemem%er to a!7st the total ?olme o" soltion a"ter each a!!ition.
S)3I)85 6a7 Kin! the starting pH sing the metho!s o" Chapter 14.
>a Pr -/H$
8/HPr/ Pr -/ x H$8/ Pr -/ x H$
8/
x = (1.3 x 10−5)(0.10) x 1.101
-$ pH #.93
6b76e"ore a!!ition
(!!ition
("ter a!!ition
.&
.$
.$.1
-
-
-
-
- -
(0r6 aq7 )(-
6 aq7 0r -
6 aq7 (2)
6l 7Amount 6mol7
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19-#
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Sample 0roblem 19." Calculatin# the p( ,urin# a =ea/ Acid-
Stron# Base itration
continued
H$8/ 1.$01-2
.1 mol
.$ mol &.$01-3M pH 2.$5
6c7 @hen &.m; o" :aH are a!!e!, all o" the HPr will %e reacte! an! the Pr -/
will %e w >% >w>a 1.01-1&1.$01-2 5.501-1
H$8/ >w 1.301
-9M K bx[Pr
−] pH 4.4
6d7 2.m; o" :aH will pro!ce an e0cess o" H-.
mol DE %ase
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19-#1
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Figure 19.9
Cur!e for a
ea/ base-
stron# acid
titration.
itration of $
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19-##
py g p , q p p y
Ion-0roduct E%pression 6>sp7
and Solubility 0roduct Constant 6:sp7
At equilibrium >sp ; '4n*p '?@-*q ; :sp
or the hypothetical compound 4p?q
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19-#$
py g p , q p p y
Sample 0roblem 19.$ =ritin# Ion-0roduct E%pressions for Sli#htly
Soluble Ionic Compounds
S)3I)85
0)B3E45 @rite the ion-pro!ct e0pression "or each o" the "ollowing
6a7 Magnesim car%onate 6b7 Iron
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19-#&
py g p q p p y
able 19.2 Solubility-0roduct Constants 6:sp7 of Selected Ionic
Compounds at 2
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19-#2
Sample 0roblem 19. ,eterminin# :sp from Solubility
0)B3E45 6a7 ;ea! sp o" P%K#.
03A85 @rite the !issoltion eqation "in! moles o" !issociate! ionscon?ert sol%ility to M an! s%stitte ?ales into sol%ility pro!ct
constant e0pression.
>sp P%#8/E&
#-/
1.&01-&M P%E&
>sp P%#8/E&
#-/
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19-#3
Sample 0roblem 19. ,eterminin# :sp from Solubility
continued
6b7 P%K#
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19-#5
Sample 0roblem 19.D ,eterminin# Solubility from :sp
0)B3E45 Calcim hy!ro0i!e sp is 3.201-3.
03A85 @rite ot a !issociation eqation an! >sp e0pression Kin! the molar
sol%ility
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19-#4
able 19." Jelationship 6etween >sp an! Eol%ility at #2C
8o. of Ions ormula Cation5Anion :sp Solubility 647
# MgC$ 11 $.2 0 1-4 1.9 0 1-&
# P%E& 11 1.3 0 1-4 1.$ 0 1-&
# 6aCr& 11 #.1 0 1-1 1.& 0 1-2
$ Ca
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19-#9
Figure 19.10 he effect of a common ion on solubility.
P%Cr&
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19-$
Sample 0roblem 19. Calculatin# the Effect of a Common Ion on
Solubility
0)B3E45 In Eample Pro%lem 19.3, we calclate! the sol%ility o" Ca
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19-$1
Figure 19.11 est for the presence of a carbonate.
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19-$#
Sample 0roblem 19.F 0redictin# the Effect on Solubility of Addin#
Stron# Acid
0)B3E45 @rite %alance! eqations to e0plain whether a!!ition o" H$8 "rom a
strong aci! a""ects the sol%ility o" these ionic compon!s
6a7 ;ea!
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19-$$
Sample 0roblem 19.9 0redictin# =hether a 0recipitate =ill orm
0)B3E45 ( common la%oratory metho! "or preparing a precipitate is to mi0
soltions o" the component ions. )oes a precipitate "orm when
.1; o" .$M Casp ?als in a ta%le. Treat this as a reaction qotient, N,
pro%lem an! calclate whether the concentrations o" ions are O or
>sp. Jemem%er to consi!er the "inal !ilte! soltion when calclating
concentrations.
S)3I)85 CaK#
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19-$&
Figure 19.12 ormation of acidic precipitation.
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19-$2
Figure 19.13 Cr68("7D" a typical comple% ion.
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19-$3
Figure 19.14
46(2)7$2
46(2)7"68("72
468("7$2
8("
"8("
he stepise e%chan#e of 8(" for (2) in 46(2)7$2.
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19-$5
Sample 0roblem 19.1< Calculatin# the Effect of Comple%-Ion ormation
on Solubility
S)3I)85
0)B3E45 In %lacA-an!-white "ilm !e?eloping, e0cess (g6r is remo?e! "rom
the "ilm negati?e %y hypoQ, an aqeos soltion o" so!im
thiosl"ate sp to "in! E, the molar
sol%ility. Consi!er the shi"ts in eqili%ria pon the a!!ition o" thecomple0ing agent.
(g6r
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Sample 0roblem 19.1< Calculatin# the Effect of Comple%-Ion ormation
on Solubilitycontinued
>o?erall >sp 0 >" 6r -/(g