8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 1/13
UNIVERSITI TEKNOLOGI MARAFAKULTI KEJURUTERAAN KIMIAENGINEERING CHEMISTRY I LABORATORY(CHE485)
DETERMINATION OF THE Ka VALUE OF WEAK ACID
SEMESTER 3 AND 4 AUGUST 28
T!"#$ A##%&a"$' Ma* Ma* A+*"a&" 5
I,"%'-&"!%,
A!.*
T/$%0
A11aa"-*
M$"/%'%#%0
5
R$*-#"*
Ca#&-#a"!%,*
D!*&-**!%,
5
-$*"!%,* 5
C%,&#-*!%,*
R$$$,&$*
TOTAL 4
S"-'$," Na.$* a,' N-.+$* S-1$6!*% Ga'!, ()7 NUR SYAERA BT7 HIDIR 2928:99827 MUHAMAD SYAREEN BIN YAID 2928:;4
37NURUL NAFISAH 2928:;3847WAN EDARLINA 2928:85457 SITI NOOR 2928:;2
C/$&$' +0< C! S-/a!=a R$&/$&$' +0<
0
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 2/13
TABLE OF CONTENT<
NO7 TITLE >AGE
A+*"a&"?S-..a0 2
2 I,"%'-&"!%, 2
3 A!.*?O+@$&"!6$* 2
4 T/$%0 3
5 >%&$'-$* :
: A11aa"-* R$a$," 9
9 R$*-#"* 9
8 Ca#&-#a"!%,* ;
; D!*&-**!%,*
C%,&#-*!%,* R$&%..$,'a"!%,*
2 R$$$,&$* 2
3 A11$,'!&$* 2
A+*"a&"<
T/$ $1$!.$," !* a## a+%-" !,'!, "/$ 6a#-$ % Ka +0 -*!, "!"a"!%, a,'.$a*-!, "/$ 1H 6a#-$ % "/$ $a a&!'7 A&!'+a*$ $a&"!%,* a$ ,$-"a#!=a"!%,$a&"!%,* +$"$$, +a*$* a,' 1%"%,* '%,a"$' +0 a&!'*7 T/$ *"$,"/ % a, a&!'!* $#a"$' "% !"* a+!#!"0 "% '%,a"$ 1%"%,*7 S"%, a&!'* &%.1#$"$#0 '!**%&!a"$ !,a-$%-* *%#-"!%,*7 F% $a.1#$ "/$ &%,&$,"a"!%, % H !, 7 M /0'%&/#%!&a&!' (HC#) !* 7 M7 B0 &%,"a*" $a .%,%1%"!& a&!'* %,#0 1a"!a##0 '!**%&!a"$!, a-$%-* *%#-"!%,* %.!, $-!#!+!-. !"/ a11$&!a+#$ a.%-,"* %
-,'!**%&!a"$' a&!'7 T/$ 1-1%*$ % "/!* $1$!.$," !* "% .$a*-$ "/$ Ka 6a#-$% !%,!=a"!%, % "% -,,%, $a a&!'*7 S%#-"!%,* &%,"a!,!, $-a# .%#a a.%-,"* % "/$ $a a&!'* a,' "/$! &%,@-a"$ +a*$* a$ 1$1a$' +0 /a#,$-"a#!=a"!%, % "/$ a&!'7 T/$! 1H 6a#-$* a$ .$a*-$' a,' -*$' "% &a#&-#a"$"/$ Ka 6a#-$ % "/$ -,,%,* a,' "/-* '$"$.!,$ "/$! !'$,"!"!$*7
INTRODUCTION<
1
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 3/13
T/$ $#a"!6$ a&!'!"0 % a *-+*"a,&$ % a *0*"$. !* % !.1%"a,&$ !, .a,0*!"-a"!%,* *-&/ a* "/$ -a#!"0 % '!,!, a"$ %%' 1$*$6a"!%,* *%!#&%,'!"!%,* % a!&-#"-$ a,' 1/0*!%#%!&a# -,&"!%,*7 O,$ .$a*-$ % "/$*"$,"/ % a, a&!' !* !"* a+!#!"0 "% '%,a"$ 1%"%,* "% a +a*$7 T/$ a&!' !%,!=a"!%,
&%,*"a," Ka !* a -a,"!"a"!6$ .$a*-$ % "/$ *"$,"/ % a, a&!'7 T/$ !%,!=a"!%,% a $,$!& a&!' HA &a, +$ $1$*$,"$' +0 "/$ %##%!, $-a"!%,<
HA )(aq H2O )(l →← H3O +
)(aq A −
)(aq ($-a"!%, 4)
I, /!&/ "/$ $a a&!' '%,a"$* a 1%"%, H +
"% a a"$ .%#$&-#$ "% %. "/$
/0'%,!-. !%, H3O +
a,' "/$ &%,@-a"$ +a*$ % "/$ $a a&!' A −
7 T/$&%$*1%,'!, a&!' !%,!=a"!%, &%,*"a," $1$**!%, Ka &a, +$ !""$, a*
[ ]
[ ]
−
= A
HA
O H Ka 3
($-a"!%, 42)T/$ Ka 6a#-$ !* &/aa&"$!*"!& % a, a&!' a,' &a, +$ -*$' "% !'$,"!0 a, -,,%,a&!'7 T/$ Ka !,'!&a"$* "/$ $#a"!6$* *"$,"/ % a, a&!'7 T/$ #a$ "/$ Ka 6a#-$"/$ *"%,$ "/$ a&!'7 T/$ *.a##$ "/$ Ka 6a#-$ "/$ $a$ "/$ a&!'7
O+@$&"!6$*<
T% '$"$.!,$ "/$ a&!' !%,!=a"!%, &%,*"a," Ka % a $a a&!' +0 "!"a"!%,
!"/ *%'!-. /0'%!'$ a,' +0 .$a*-!, "/$ 1H % "/$ $a a&!'7
T/$%0<
T/$$ a$ "% .$"/%'* "% '$"$.!,$ "/$ Ka 6a#-$ % a $a a&!' "/a" !*<
T!"a"!, "/$ $a a&!' !"/ *%'!-. /0'%!'$
M$a*-!, "/$ 1H % "/$ $a a&!'
W$a a&!' "!"a"$' !"/ NaOH
A "!"a"!%, &-6$ !* 1%'-&$ +0 1#%""!, "/$ 1H % "/$ a&!' *%#-"!%, 6$*-* "/$
6%#-.$ % NaOH a''$'7 T/$ $-!6a#$,&$ 1%!," % "/$ "!"a"!%, !* $a&/$' /$, a##% "/$ $a a&!' (HA) /a* &%.1#$"$#0 $a&"$' !"/ NaOH7 O, "/$ "!"a"!%, &-6$"/$ $-!6a#$,&$ 1%!," !* $a' a" "/$ &$,"$ % "/$ $!%, /$$ 1H !,&$a*$**/a1#07 T/$ /a#$-!6a#$,&$ 1%!," % "/$ "!"a"!%, !* $a&/$' /$, $a&"#0 %,$/a# % "/$ +a*$' $-!$' "% &%.1#$"$#0 ,$-"a#!=$' "/$ a&!' /a* +$$, a''$'7 A""/!* 1%!," % &%,&$,"a"!%, % "/$ a&!' !, "/$ *%#-"!%, HA !* $-a# "% "/$
&%,&$,"a"!%, % !"* &%,@-a"$ +a*$ A −
7
2
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 4/13
][][ −= A HA ( $-a"!%,
43)
E-a"!%, 42 &a, +$ *!.1#!!$' "% 0!$#' $-a"!%, 44
[ ]+
= O H Ka3 ($-a"!%,
44)
Ta!, "/$ ,$a"!6$ % "/$ a#%!"/. % $a&/ *!'$ % $-a"!%, 44 $-a"!%, 45&a, +$ '$!6!,7
]log[~)log(3
+
=− O H Ka
1Ka 1H ($-a"!%, 45)
$-a"!%, 45 !,'!&a"$* "/a" "/$ 1Ka % "/$ a&!' !* $-a# "% "/$ 1H % "/$ *%#-"!%,a" /a# $-!6a#$,&$ 1%!,"7 T/$ Ka % "/$ a&!' !* '$"$.!,$' %. "/$ 1Ka 6a#-$ a*%##%*7
pKa Ka
−
= 10 ($-a"!%, 4:)
Sample calculation using 1 st
method
3
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 5/13
A $a a&!' !* "!"a"$' !"/ 7 M NaOH7 T/$ "!"a"!%, &-6$ !* */%, !, !-$ 47
E-!6a#$,&$ 1%!," 7:2.L '$"$.!,$ "/$ "!"a"!%, &-6$7Ha# $-!6a#$,&$ 1%!," 7:2?2 578.L
T/$ 1H 6a#-$ &%$*1%,'!, "% 578 .L !* 472 '$"$.!,$ "/$ "!"a"!%, &-6$71Ka 1H 472 a" "/$ /a# $-!6a#$,&$ 1%!,"
Ka pKa−10
20.4− :73
5−
K,%!, "/$ 1H % "/$ $a a&!' a,' !,!"!a# $a a&!' &%,&$,"a"!%,
F%. "/$ 1H % "/$ a&!' *%#-"!%, (HA) $ &a, '$"$.!,$ "/$ H +
a,' A −
!%,&%,&$,"a"!%, !* $#a"$' "% "/$ 1H % a *%#-"!%, +0 $-a"!%, 49
pH O H
−+
=103 ($-a"!%, 49)
B0 *-+*"!"-"!, HA H3O +
a,' A −
a" $-!#!+!-. !, "% $-a"!%, 42 6a#-$ % Ka &a, +$ &a#&-#a"$'7
Sa.1#$ &a#&-#a"!%, -*!, 2nd
.$"/%'
T/$ 1H % 7M $a a&!' *%#-"!%,* 2752 a" 25 C ° 7 Ca#&-#a"$ "/$ Ka % "/$
$a a&!' a" 25 C ° 7
I,!"!a##0 %,#0 "/$ $a a&!' HA .%#$&-#$* !%,!=$ %.!, H3O +
a,' H3O +
7 T/$
!,!"!a# HA &%,&$,"a"!%, '$&$a*$* /!#$ "/$ &%,&$,"a"!%, % H3O +
a,' A −
!,&$a*$ -,"!# $-!#!+!-. a""a!,$'7 T/$ $-!#!+!-. &%,&$,"a"!%, % HA H3O +
a,' A −
a$ &a#&-#a"$' a* %##%*7
1H 2752
[ ] M O H pH 352.2
3 100.31010
−−−+
×===
HA H 2 O ↔ H3O +
A −
I,!"!a# 7M C/a,$ 37 37M 37M
E-!#!+!-. (737)M 37M 37M
Ka [ ] HA
AO H −+
3
4
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 6/13
[ ][ ][ ]
5
3
33
103.9100.310.0
100.3100.3 −
−
−−
×−
×−
××= Ka
T/$ &a#&-#a"$' Ka 6a#-$ % "/$ -,,%, a&!' !* &#%*$*" "% "/a" % +$,=%!& a&!'
:73 5−
Ta+#$< I%,!=a"!%, &%,*"a," (Ka) % *%.$ $a a&!'* a" 25%C
Procedures:
5
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 7/13
D$"$.!,a"!%, % Ka 6a#-$ % a $a a&!' +0 "!"a"!%, !"/ NaOH
A11%!.a"$#0 4.L % -,,%, a&!' *%#-"!%, a* %+"a!,$'7 Da"a a*
$&%'$'7 7.L % "/$ -,,%, a&!' *%#-"!%, a* a''$' "% '0 25.L +$a$7
T/$ *%#-"!%, a* "!"a"$' !"/ NaOH T/$ $a&"!%, .!"-$ a* 1%-$' !,"% #a+ *!, a,' a* #-*/$' !"/
&%,"!,-%-* a"$7
S"$1 24 a* $1$a"$' "% 1$%. 2 nd
"!"a"!%, % "/$ $a a&!' !"/ 7M
NaOH *%#-"!%, T/$ "!"a"!%, &-6$ a* 'a -*!, $&$#*7
F%. "/$ "!"a"!%, &-6$ "/$ 6%#-.$ % NaOH $-!$'"% ,$-"a#!=!, "/$
$a a&!' *%#-"!%, !, $a&/ "!"a"!%, a* '$"$.!,$'7 Da"a a* $&%'$'7 T/$ Ka 6a#-$ % "!"a"!%, a,' 2 a* &a#&-#a"$'7
T/$ a6$a$ Ka 6a#-$ % "/$ $a a&!' a* &a#&-#a"$'7
U*!, "/$ Ka 6a#-$ &a#&-#a"$' !, *"$1 P "/$ -,,%, $a a&!' %."a+#$ a* !'$,"!!$'7
T/$ .%#a!"0 % "/$ -,,%, a&!' *%#-"!%, % $a&/ "!"a"!%, a* &a#&-#a"$'7
D$"$.!,a"!%, % Ka %. "/$ !,!"!a# &%,&$,"a"!%, a,' 1H % a $a a&!' *%#-"!%,
2.L % "/$ -,,%, $a a&!' *%#-"!%, (*a.$ -,,%, -*$' !, >a" A)
a* a''$' "% a '0 +$a$7 T/$ 1H $#$&"%'$ a* $.%6$' %. "/$ 1H 9 +-$ *%#-"!%,7 T/$
$#$&"%'$ a* !,*$' !"/ '!*"!##$' a"$ a,' "/$ "!1 % "/$ 1%+$ a* '!$'7
T/$ $#$&"%'$ a* !,*$"$' !,"% "/$ +$a$ &%,"a!,!, "/$ a&!' *%#-"!%,%. *"$1 7 T/$ *%#-"!%, a* *"!$'7 A"$ "/$ 1H $a'!, a* *"a+!#!=$'"/$ 1H % "/$ *%#-"!%, a* $&%'$'7
T/$ $a a&!' *%#-"!%, a* '$&a,"$' !,"% a*"$ &%,"a!,$7
S"$1 4 a* $1$a"$' "% 1$%. *$&%,' 1H .$a*-$.$,"
T/$ 1H 1%+$ a* !,*$' !"/ '!*"!##$' a"$
U*!, !,!"!a# &%,&$,"a"!%, (.%#a!"0 &a#&-#a"$' !, *"$12 1a" A) "/$ 1H %
"/$ -,,%, a&!' *%#-"!%, "/$ Ka % $a&/ "!a# a* &a#&-#a"$'7 U*!, "/$ Ka 6a#-$ &a#&-#a"$' !, *"$1 8 "/$ $a a&!' a* !'$,"!!$' %.
"a+#$
Apparatus:
6
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 8/13
B$a$ B-$""$>!1$""$Ma,$"!& +a
R$a$,"<
S%'!-. /0'%!'$U,,%, a&!' a,' 2D!*"!##$' a"$
Results:
>a" A<
.L % NaOH U,,%, a&!' U,,%, a&!' 2
7 37 27::
75 37:3 :7;
7 37; 875
75 472 87;;
27 472; ;728
275 4743 ;743
37 4753 ;758
375 47:2 ;7:8
47 4792 ;799
475 478 ;78557 47; ;7;2
575 47;; 7
:7 578 7
:75 579 79
97 572; 72:
975 574 73:
87 5759 74:
875 578 75:
;7 :7 7:;
;75 97; 789
7 7 7975 74 72:
7 7: 744
75 79: 75:
27 78: 7:8
275 7;3 795
37 27 783
7
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 9/13
375 788
47 7;3
475 27
>a" B<
U,,%, a&!' I,!"!a# 1H
3724
2 372
8
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 10/13
Ca#&-#a"!%,<
>a" A<
U,,%, a&!' <
E-!6a#$,&$ 1%!," ;78:.LHa#$-!6a#$,&$ 1%!," ;78:?2 47;3.LT/$ 1H 6a#-$ &%$*1%,'!, "% 47;3.L !* 47: %. "/$ "!"a"!%, &-6$1Ka 1H 47: a" "/$ /a#$-!6a#$,&$ 1%!,"
Ka pKa−
60.4−
510512.2 −
×
T/$ &#%*$*" 6a#-$ Ka &a#&-#a"$' !* a&$"!& a&!' "/a" !* 78 5−
M1 V1 M 2 V 2
(7)(;78:.L) M 2 (.L)M 2 7;8:M
U,,%, a&!' 2<
E-!6a#$,&$ 1%!," 72.LHa#$-!6a#$,&$ 1%!," 72?2 7:.LT/$ 1H 6a#-$ &%$*1%,'!, "% 7:.L !* 478 %. "/$ "!"a"!%, &-6$1Ka 1H 478 a" "/$ /a#$-!6a#$,&$ 1%!,"
Ka pKa−
80.4−
7585 5−
T/$ &#%*$*" 6a#-$ Ka &a#&-#a"$' !* a&$"!& a&!' "/a" !* 78
5−
M1 V1 M 2 V 2
(7)(72.L) M 2 (.L)
M 2 72M
>a" B<
U,,%, a&!' <
1H 3724
[ ] M O H pH 424.3
3 10754.51010
−−−+
×===
9
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 11/13
HA H 2 O ↔ H3O +
A −
I,!"!a# 7;8:M
C/a,$ 410754.5 −
× M 410754.5 −
× M410754.5 −
× M
E-!#!+!-. (7;8: 410754.5 −
× )M410754.5 −
× M410754.5 −
×
M
Ka [ ] HA
AO H −+
3
[ ][ ][ ]
6
4
44
10378.310754.50986.0
10754.510754.5 −
−
−−
×=
×−
××= Ka
T/$ &#%*$*" 6a#-$ "% "/$ Ka &a#&-#a"$' !* >%"a**!-. H0'%$, >/"/a#a"$ "/a" "/$Ka !* 573
6−
U,,%, a&!' 2<
1H 372
[ ] M O H pH 421.3
3 10166.61010
−−−+
×===
HA H 2 O ↔ H3O +
A −
I,!"!a# 72M
C/a,$ 4
10166.6 −
× M 4
10166.6 −
× M4
10166.6 −
× M
E-!#!+!-. (72 410166.6 −
× )M410166.6 −
× M410166.6 −
× M
Ka [ ] HA
AO H −+
3
[ ][ ][ ]
5
4
44
10340.310166.6012.0
10166.610166.6 −
−
−−
×=
×−
××= Ka
T/$ &#%*$*" 6a#-$ "% "/$ Ka &a#&-#a"$' !* B$,=%!& A&!' "/a" "/$ Ka !* :73 5−
D!*&-**!%,<
10
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 12/13
T/!* $1$!.$," !* .a!,#0 a+%-" !,'!, "/$ Ka 6a#-$ % -,,%, a&!' a,'27 F%. "/$ Ka 6a#-$ $ &%-#' $*"!.a"$ /!&/ a&!' !* "/$ -,,%, a&!' $ -*$'%. "a+#$ 7 B0 -*!, "/$ !*" .$"/%' "/a" !* "/$ "!"a"!%, &-6$ "/$ -,,%,a&!' a* $*"!.a"$' "% +$ a&$"!& a&!' *a.$ a* -,,%, a&!' 27 T/$ .%#a!"0 % +%"/ -,,%, a&!' a* '!$$," a* "/$ 6%#-.$ % "/$ NaOH -*$' "% ,$-"a# "/$
a&!'7 F%. "/$ "!"a"!%, &-6$ "/$ -,,%, a&!' &-6$ a* .$$#0 "/$ *a.$ a*"/$ "/$%0 "!"a"!%, &-6$7 B-" "/$ -,,%, a&!' 2 &-6$ a* "%"a##0 '!$$,"7 T/!*!* +$&a-*$ a" "/$ +$!,,!, % "/$ "!"a"!%, % "/$ -,,%, a&!' 2 "/$ 1H 6a#-$,$a#0 97 "/a" !* "/$ $-!6a#$,&$ 1%!," "/a" $ ,$$' "% %+"a!,$'7 T/!* !* +$&a-*$"/$ a&!' .%#a!"0 a* #%$ "/a, "/$ -,,%, a&!' 7
B0 -*!, "/$ *$&%,' .$"/%' $ @-*" -*$' "/$ !,!"!a# 1H 6a#-$ "/a" $%+"a!,$' !, "/$ $1$!.$,"7 T/$ 1H 6a#-$ "/a" %+"a!,$' a* -*$' "% &a#&-#a"$ "/$.%#a!"0 % $a&/ -,,%, a&!' +0 -*!, %.-#a7 T/$ &#%*$*" 6a#-$ "% "/$ Ka
&a#&-#a"$' !* >%"a**!-. H0'%$, >/"/a#a"$ "/a" "/$ Ka !* 573 6−
% -,,%, a&!' 7 A,' "/$ &#%*$*" 6a#-$ "% "/$ Ka &a#&-#a"$' !* B$,=%!& A&!' "/a"
"/$ Ka !* :73 5−
% -,,%, a&!' 27
C%,&#-*!%,<
T/$ $1$!.$," a* .a!,#0 a+%-" !,'!, "/$ Ka 6a#-$ "% %+"a!, /a" a&!' !*"/$ -,,%, a&!'7 (B0 -*!, "!"a"!%, !"/ NaOH) T/$ Ka 6a#-$ &a#&-#a"$' % "/$
-,,%, a&!' !*510512.2 −
× a,' % "/$ -,,%, a&!' 2 !* 7585 5−
7 T/$
&#%*$*" 6a#-$ % Ka % a&!' !, "a+#$ !* a&$"!& a&!' "/a" !* 78 5−
7 (B0 -*!,
'$"$.!,a"!%, % Ka %. "/$ !,!"!a# &%,&$,"a"!%, a,' 1H % a $a a&!' *%#-"!%,)T/$ Ka 6a#-$ &a#&-#a"$' % "/$ -,,%, a&!' !*
610378.3 −
× a,' % "/$
-,,%, a&!' 2 !*510340.3 −
× 7 T/$ &#%*$*" 6a#-$ % Ka % a&!' !, "a+#$ !*
>%"a**!-. H0'%$, >/"/a#a"$ "/a" "/$ Ka !* 573 6−
% -,,%, a&!' a,'
"/$ &#%*$*" 6a#-$ "% "/$ Ka &a#&-#a"$' !* B$,=%!& A&!' "/a" "/$ Ka !* :73 5−
% -,,%, a&!' 27 F%. "/$ $1$!.$," $ &%-#' &%,&#-'$ "/a" +0 -*!, '$"$.!,a"!%, % Ka%. "/$ !,!"!a# &%,&$,"a"!%, a,' 1H % a $a a&!' *%#-"!%, !* .%$ a&&-a"$ a*$ @-*" ,$$' "% %+"a!, "/$ !,!"!a# 1H 6a#-$ a,' &a#&-#a"$ "/$ Ka +0 -*!, %.-#a7T/!* .$"/%' !* .%$ a&&-a"$ a* !" .!,!.!=$ "/$ $% %&&-* !, "/$ $1$!.$,"7
R$&%..$,'a"!%,<
T/$ $1$!.$," */%-#' !,&#-'$ "/$ !,'!&a"% a* $ &%-#' *$$ "/$ &/a,$*
% "/$ "!"a"!%,7
R$$$,&$*<
11
8/10/2019 Determinatin Weak Acid-SENIOR
http://slidepdf.com/reader/full/determinatin-weak-acid-senior 13/13
B%, L$Ma0 a,' B-*"$,7 La+%a"%0 E1$!.$,"* % C/$.!*"0<
T/$ C$,"a# S&!$,&$7 F!"/ E'!"!%,7 E1$!.$," 2
/""1<??!&,27-.$&/$7.a!,$7$'-?$,&/$.#a+*?E-!#QC%,*"?$-!#&%,7
/".# /""1<??7a,"#$,7+&7&a?QQ*/a$'?a**$"*?1/:971'
/""1<??$+7&$,"$7$'-?.!#$*?&/$35?&/$35#a+*?1Ka2%2a
2$a2a&!'7/".
/""1<??/%.$7&%.&a*"7,$"?&/!*"0#"/%.a*?Ka$aa&!'#a+71'
/""1<??a&-#"07-"="%,7$'-?6!"=?#!.*1%"?La+Ma,-a#?KAW$+?KAQDET
7/".
/""1<??71!7$'-?A&a'$.!&*?D$1"*?C/$.!*"0?C%-*$*?G$,$a#?B
La&!'+a*$7/".#
A11$,'!&$*<
12