LAPORAN PRAKTIKUM KIMIA FISIKA KINETIKA REAKSI SAPONIFIKASI ETIL ASETA ASETAT T
OLEH: KELOMPOK: 7
ILLIYIN FRIZKI APRILIAN INTAN AYU PUSPITASARI
(140331600558) (140331600558) (140331605170)
MUHAMMAD IQAL FITRANDA
(140331600!76)
UNIVERSITAS NEGERI MALANG FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM JURUSAN KIMIA April 2016
KINETIKA REAKSI SAPONIFIKASI ETIL ASETAT I.
II.
TUJUAN PERCOBAAN 1" D#$#% &'*++# ,#-.# /'#+ $'2#,# '% #'%#% '- -/+# ###- /'#+ /' #" " D#$#% &''%+# +%#%# +''$#%# /'#+ $## /'#+ #$+# '% #'%#% DASAR TEORI
R'#+ $'2#,# #%# #$+# ###- $/' -/ ,## +#% '$'/% KOH # N#OH %'/-##$ '+ ($)" D# /'#+2# #+# &'9-#+# 9'/ ',#9# -# #&$9#" D'9# /'#+ ',#9# ,'/+%: 3H5(OOR)3 ; 3 N#OH < 3H5(OH)3 ; ='/
3 N#OOR N#>S%'#/#% (#,)
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
S'# $''%# #* /'#+@ $'/,## *9# #$#% &'*++# /' #% /'#+" O/' /'#+ &'/$#+# *&#- $#9+#% #/ #+%/ +'%/# ##& -+& #* ,'%+ ''/'#" U&&2# /' /'#+ %'/-##$ #% ?#% %#+ # '9# +'' ##& $'/## %+&'%/ /'#+"
R'#+ 2#9 %'/*# $## $'2#,# '% #'%#% &'/$#+# ##- #% /'#+ ,'//' #@ &'+$ /'#+ 2#9 %'/*# $## $'2#,# '% #'%#% ,+# /'#+ ''/-##" S'-99# -+& -+& #* /'#+ %+ $'2#,# '% #'%#% #$#% 2#%#+# ',#9#:
#: # : +'%/# #.# '%'/ ##& &%'/ , : +'%/# #.# OHB ##& &%'/ C : *&#- &%'/ '%'/ #%# ,## 2#9 %'#- ,'/'#+ $## .#+% %
A$#,# #/+# %'/-##$ .#+% (%) #+# $'/'- 9#/ / '9# #/#- '/'9 @ '-99# #/ #/#- '/'9 &'&9++# $'/-%9# #/ %'%#$# /'#+ " H,9# %'/',% #$#% -#% $## 9#&,#/ 1"
=#&,#/ 1" P% %'/-##$ % D##& $/#+%+& #+# &'2''#+# #$# ,+% ,#-.# $'2#,# '% #'%#% '- -/+# ###- /'#+ /' # # ,'/#$# %'%#$# #* /'#+ $## $'2#,# '% #'%#%" T*# #/ $/#+%+& ###- &'&,+%+# ,#-.# /'#+ $'2#,# '% #'%#% '- -/+# ###- /'#+ 2#9 ,'//' # # &''%+# %'%#$# #* /'#+ 2#9 %'/*# $## #$+# '% #'%#%"
III.
METODOLOGI 1. Al! " > K## #/* > L#, +/ > E/'&'2'/ > /'% > S%#% # +'& > /9 > '#+'/ 9# > S%$.#%> P$'% 9+ # $$'% %'%' > % '&$/% > T'/&&'%'/ 2. B#$ " > E% #'%#% > N#OH > H > I+#%/ '%#' > A#' > A#& +##% %. Pr&'()*r K(r+ 1" D'#+# 50 &L #/%# '% #'%#% '9# +'%/# 0@0 N" " D'#+# +/#9 ',- 00 &L #/%# N#OH 0@0 N" K'%/# +'#
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
IV.
DATA PENGAMATAN 1" G&' %%# '% #'%#% 50&L " G&' '% #'%#% %+ #&$/# 50&L 3" G&' N#OH %+ #&$/# 50&L 4" S- T'/&%#% 65 5" T'+## #/# &&H9 6" N#OHJ 0@01 N 7" HJ 0@0 N 8" E% A'%#%J 0@0 N !" G&' N#OH 2#9 $'/+# %+ %%/# ',#9# ,'/+%: ,-!* P($/il$ M($i! 3 8 15 5 40 65
V.
VC/p*r$
VHCl
10&L 10&L 10&L 10&L 10&L 10&L
0&L 0&L 0&L 0&L 0&L 0&L
VNOH Ti!r'i /L 16@6 17@ 17@5 17@8 18 18@8
ANALISIS DATA DAN PEMBAHASAN
P'/## /'#+ : CH%COOC2H3 4 5 OH 4 K(!i- ! 7 %/($i! • Di-(! " N#OHJ 0@01M
CH%COO 4 5 C2H3OH 4
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HJ 0@0M % 180 G N#OH 16@6 &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 16@6 &L C 0@01 M 7 09166 //&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0 M) 0@166 && 0@4 && 0@166 && 7 092%: //&l M&l NOH 'i' p($;*$$ > M OH 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01 M) 0@34 && 0@5 && 0@34 && 7 09266 //&l K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C) > ,'/'#+ 7 M OH 2#9 G#&$/# 0@66 && 100&L 0@0066 N K'%'%#$# L#* R'#+ (+ 1) , (#>C) +1 (#>,) % # (,>C) 0@01 (0@0>0@0066) + 1 (0@0>0@01)N 180 0@0 (0@01>0@0066) 0@0001734 + 1 0@01 C 180 0@0001468 0@1665 + 1 1@8 + 1 0@1665 1@8 - 1 7 090=23 /&l1 L '1 K(!i- ! 7 >/($i! Di-(! " N#OHJ 0@01M HJ 0@0M % 480 G N#OH 17@ &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 17@ &L C 0@01 M
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7 091?2 //&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0M) 0@17 && 0@4 && 0@17 && 7 0922> //&l M&l NOH 'i' p($;*$$ > M OH 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01 M) 0@8 && 0@5 && 0@8 && 7 092?2 //&l K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C) > ,'/'#+ 7 M OH 2#9 G#&$/# 0@7 && 100&L 0@007 N K'%'%#$# L#* R'#+ (+ 1) , (#>C) +1 (#>,) % # (,>C) 0@01 (0@0>0@007) + 1 (0@0>0@01)N 480 0@0 (0@01>0@007) 0@000178 + 1 0@01 C 480 0@0001456 0@1713 + 1 4@8 + 1 0@1713 4@8 - 1 7 090%3? /&l1 L '1
K(!i- ! 7 13/($i! Di-(! " N#OHJ 0@01M HJ 0@0M % !00 G N#OH 17@5 &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " #) M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 17@5 &L C 0@01 M 7 091?3 //&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0M) 0@175 && 0@4 && 0@175 && 7 09223 //&l M&l NOH 'i' p($;*$$ •
< M OH> 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01 M) 0@5 && 0@5 && 0@5 && 7 092?3 //&l ) K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C) > 7 M OH 2#9 ,'/'#+ G#&$/# 0@75 && 100 &L 0@0075 N ') K'%'%#$# L#* R'#+ (+ 1) , (#>C) +1 (#>,) % # (,>C) 0@01 (0@0>0@0075) + 1 (0@0>0@01)N !00 0@0 (0@01>0@0075) 0@000175 + 1 0@01 C !00 0@000145 0@18!5 + 1 ! + 1 0@18!5 ! - 1 7 090211 /&l1 L '1
•
#)
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K(!i- ! 7 23/($i! Di-(! " N#OHJ 0@01M HJ 0@0M % 1500 G N#OH 17@8 &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 17@8 &L C 0@01 M 7 091?> //&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0M) 0@178 && 0@4 && 0@178 && 7 09222 //&l M&l NOH 'i' p($;*$$ > M OH 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01M) 0@ && 0@5 && 0@ && 7 092?> //&l K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C)
> 7 M OH 2#9 ,'/'#+ G#&$/# 0@78 && 100 &L 0@0078 N ') K'%'%#$# L#* R'#+ (+ 1) , (#>C) # (,>C) 0@01 (0@0>0@0078) 0@0 (0@01>0@0078) 0@00017 0@0001444 0@1761 + 1
- 1
•
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7
+1 (#>,) % + 1 (0@0>0@01)N 1500 + 1 0@01 C 1500 + 1 15 0@1761 15 09011?: /&l1 L '1
K(!i- ! 7 :0/($i! Di-(! " N#OHJ 0@01M HJ 0@0M % 400 G N#OH 18 &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 18 &L C 0@01M 7 091> //&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0M) 0@18 && 0@4 && 0@18 && 7 0922 //&l M&l NOH 'i' p($;*$$ > M OH 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01M) 0@ && 0@5 && 0@&& 7 092> //&l K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C) > ,'/'#+ 7 M OH 2#9 G#&$/# 0@8 && 100 &L 0@008 N K'%'%#$# L#* R'#+ (+ 1)
, (#>C) # (,>C) 0@01 (0@0>0@0080) 0@0 (0@01>0@0080) 0@00017 0@000144 0@1777 + 1 - 1
•
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+1 (#>,) %
+ 1 (0@0>0@01)N 400
+ 1 0@01 C 400
+ 1 4 0@1777 4 0900?: /&l1 L '1
7
K(!i- ! 7 63/($i! Di-(! " N#OHJ 0@01 M HJ 0@0 M % 3!00 G N#OH 18@8 &L # M '% #'%#% #.# , M N#OH C +'%/# OH> 2#9 ,'/'#+ J8 " M OH> %%/# 2#9 ,'/'#+ '9# H # M N#OH C G N#OH 18@8&L C 0@01M 7 091>>//&l M&l HCl 'i' M H 2#9 ,'/'#+ '9# OH > # $'2#,# M H #.# M H # (0&L C 0@0M) 0@188 && 0@4 && 0@188 && 7 09212 //&l M&l NOH 'i' p($;*$$ > M OH 2#9 ,'/'#+ ##% $/' $'2#,# M OH> #.# M OH > # (50&L C 0@01M) 0@1 && 0@5 && 0@1 && 7 092>> //&l K'%/# OH> 2#9 ,'/'#+ '9# '% #'%#% (C) > ,'/'#+ 7 M OH 2#9 G#&$/# 0@88 && 100 &L 0@0088 N K'%'%#$# L#* R'#+ (+ 1) , (#>C) +1 (#>,) % # (,>C) 0@01 (0@0>0@0088) + 1 (0@0>0@01)N 3!00 0@0 (0@01>0@0088) 0@000171 + 1 0@01 C 3!00 0@000144
0@184 + 1
- 1
7
+ 1 3! 0@184 3! 0900:? /&l1 L '1
'/##/+# $'/-%9# #%# #$#%+# #%# ',#9# ,'/+% : @ !
- 1
@ N
%
13
090=2 3 090%3 ? 090211
23
09011?
:0
0900? : 0900: ?
090026 6 09002? 2 09002? 3 09002? > 09002> 0 09002> >
>
63
M
M
0902
0901
0902
0901
0902
0901
0902
0901
0902
0901
0902
0901
l$@
a− x b− x
0901?% : 0901?2 > 0901?2 3 0901?2 2 0901?2 0 0901?1 2
l$
l$
a− x
1
b− x
( a − x )
2
:903:?
29%62:
09>3=?
>910=:
:903>2
29%?%6
09>6::
>9116:
:903==
29%?=%
09>66>
>911==
:9061?
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09>6=2
>912%:
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>91%30
grafk orde satu -4.05 -4.05
10
20
30
40
50
60
70
80
60
70
80
-4.06 -4.06
f(x) = - 0x - 4.06
-4.06 -4.06 -4.06 -4.07 -4.07 -4.07
grafk orde dua 0.88 f(x) = 0x + 0.86 0.88 0.87 0.87 0.86 0.86 0.85 10
20
30
40
50
grafk orde tiga 8.14 f(x) = 0x + 8.11 8.14 8.13 8.13 8.12 8.12 8.11 8.11 8.1 8.1 10
20
30
40
50
60
70
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
80
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
KESIMPULAN
R'#+ $'2#,# '% #'%'% '- -/+# ###- /'#+ /' # 2#9 #$#% ,+%+# '9# +/# '9# '#/%# $#9 %99 # $'/# '#/# +%# -#/9# +%#%# +''$#%# #/ % +' %" K%#%# +''$#%# /'#+ #$+# '% #'%#% /#%#>/#%# ','#/ 0@0885 &>1 L >1" VI.
JA,ABAN PERTANAAN 1. K($;!$ p-# ;$ /(/*-!i-$ #8 r(-'i p($;*$$ (!il '(!! i$i )l# r(-'i &r)( )* K'2#%## 2#9 &'&,+%+# ,#-.# /'#+ $'2#,# '% #'%#% ###- /'#+ /' # #$#% -#% #/ -#/9# + 1 (+%#%# +''$#%#) 2#9 '#/# +%# &'/ (+#/'#+# ,'/,#9 %'/,#+ '9# .#+%) # +/# /' # 2#9 $#9 '#/ ,#9 '9# +/# /' #% # /' %9#" 2. Ap-# p(r()$ $!r &r)( r(-'i )($$ -(/&l(-*l$ r(-'i > O/' /'#+ ###- *&#- $#9+#% #/ #+%/ +'%/# ##& -+& #* ,'%+ '/'#" > K'&'+# /'#+ ###- *&#- $' %#-#$ $''% #* /'#+ 2#9 &'/$#+# #% +'$ %'/% 2#9 #$#% 9#+# *+# #+'%#- &'+#&' /'#+2#"
. Ap-# ;$ /(/p($r*#i -(<(p!$ r(-'i J(l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p ;$ )i/-'*) )($$ -&$'!$! -(<(p!$ r(-'i K%#%# +''$#%# /'#+ ###- +''$#%# #%# ,#2#+2# /'#+ +&# 2#9 ,'/#99 $'/ #%# .#+%" VII.
DAFTAR PUSTAKA D#' '% #" 1!70" Experimental Physical Chemistry 7 th Ed. N'. Y/+: M =/#. H S-'+'/ '% #" Experimental Physical Chemistry 3rd Ed. N'. Y/+: M =/#. H S/ ++" 003" Petunjuk Praktikum Kimia Fisika" M##9:UM T2 /" 1!87" P'% P/#+%+& %+ U'/%#" #+#/%#: PT =/#&'#