Date post: | 02-Mar-2018 |
Category: |
Documents |
Upload: | nafermrtnzm |
View: | 232 times |
Download: | 0 times |
of 50
7/26/2019 Sistemas Ternarios (Final Final)
1/50
SISTEMAS TERNARIOS
GOMEZ MELNDEZ KARINA ALEJANDRA
GONZALEZ LOCARNO MARIA CLAUDIA
QUINTERO PARRA MARY GISELLE
TORREGROZA MATOS GLORIA RAQUEL
VASQUEZ JARABA BERNARDO JOS
VEGA GONZALEZ LORENA PATRICIA
TRABAJO TERMODINAMICA QUIMICA II
Ph.D. MARLEY VANEGAS CHAMORRO
UNIVERSIDAD DEL ATLANTICO
FACULTAD DE INGENIERIA
PROGRAMA DE INGENIERIA QUIMICA
BARRANQUILLA
201
1
7/26/2019 Sistemas Ternarios (Final Final)
2/50
TABLA DE CONTENIDO
1. INTRODUCCIN
2. OBJETIVOS
2.1. OBJETIVO GENERAL2.2. OBJETIVOS ESPECIFICOS
3. MARCO TERICO3.1. REGLA DE LAS FASES3.2. DIAGRAMA DE SISTEMAS TERNARIOS3.3. REGLA DE LA PALANCA
4. JUSTIFICACIN5. MATERIALES Y REACTIVOS
5.1. REACTIVOS5.2. MATERIALES
6. EXPERIMENTACIN6.1. ESTANDARIZACIN6.2. PRIMERA EXPERIENCIA6.3. SEGUNDA EXPERIENCIA
. ANALISIS Y RESULTADOS.1. ESTANDARIZACIN.2. PRIMERA EXPERIENCIA.3. SEGUNDA EXPERIENCIA
!. CONCLUSIONES". RECOMENDACIONES1#. ANEXOS
1. INTRODUCCI!N
E$ %&'$()() *+,*-(*&/%$ 0*$ *($(-( 0* %)*) $(07$(0 0* )()/*%)$/(8,&*&/*) *) 0* )% (,-/%&8(% ,%-% $) ,-8*)) (&0)/-(%$*) 9
(8) 0* *+/-%88(:& *& %)* $(0%; 9% * )* -*(*-* * $) 0()$
7/26/2019 Sistemas Ternarios (Final Final)
3/50
8&/%- 8& 0%/) *+,*-(*&/%$*) 8&(%$*) 0* *($(-( 0* %)*) $(07$(0
0* $) 8,*)/) 0* (&/*-?).
L% )*,%-%8(:& 0* &% *>8$% 0* $(0) *0(%&/* *$ /-%/%(*&/ 8& &
0()$
7/26/2019 Sistemas Ternarios (Final Final)
4/50
0* -*%$(>%- =-'(8) &) ,*-(/*& 8$% 9 $%) 8,)(8(&*) *& $%) 8%$*) )* *&8*&/-% 8%0%
8,&*&/* 0*&/- 0* $% ()%. U&% 0* $%)
7/26/2019 Sistemas Ternarios (Final Final)
5/50
E$ ) 0* )$
7/26/2019 Sistemas Ternarios (Final Final)
6/50
E)/0(%- *$ 8,-/%(*&/ 0* & )()/*% 0* /-*) 8,&*&/*) 9 $%) -*$%8(&*)
0* )$($(0%0 0* &% *>8$% /*-&%-(% ,%-% %) 8&)/-(- *$ 0(%=-%% 0* %)*) 0*$
)()/*% %=% 0*)/($%0%7'8(0 %8?/(87/$*&.
2.2. OBJETIVOS ESPECIFICOS" A&%$(>%- *$ ,-8*) 0* *+/-%88(:& $(07$(0 % *)8%$% 0* $%-%/-(." D*/*-(&%- *$ )()/*% 0* &% )$% %)* $(0% * -%& *)/) /-*)
8,&*&/*) 8%&0 $$*=%& %$ *($(-(." C&)/-(- $% 8-8$%) =?&*%) $((0%); $% 8%$ 8&)()/* *& )*,%-%- &%
))/%&8(%
7/26/2019 Sistemas Ternarios (Final Final)
7/50
(&()8($* (&()8($* % $% ))/%&8(% ))/%&8(%) % )*,%-%-1. L% *+/-%88(:&
$(07$(0; *) /%(?& 8&8(0% 8 *+/-%88(:& 8& )$
7/26/2019 Sistemas Ternarios (Final Final)
8/50
*) * *$ ,/*&8(%$ (8 0*$ 0()$
7/26/2019 Sistemas Ternarios (Final Final)
9/50
RTLnxB
xA=(B
A) H3.5
Y 8 )%*) A
9 B
)& (&0*,*&0(*&/*) 0* $% 8,)(8(:&; /*&*)
*
xB
xA=K H3.6
D&0* ; *) *$ 8*(8(*&/* 0* 0()/-(8(:& -*,%-/; *) (&0*,*&0(*&/* 0* $%
8&8*&/-%8(:& 0* )$/ *& $%) 0) 0()$8(&*); 9 BA
*) *$ 8%( 0*
*&*-=% 0* G() *)/'&0%- G
,%-% $% /-%&)-%8(:&; *&/&8*) /*&*) *
RTLnK=G H3.
K* *) $% -*$%8(:& 8& *&/-* *$ 8%( 0* *&*-=% 0* G() *)/'&0%- 9 $%
8&)/%&/* 0* *($(-( 0* &% -*%88(:& (8%. S( $%) )$8(&*) *)/'&
)(8(*&/**&/* 0($(0%); $%) -%88(&*) $ )& ,-,-8(&%$*) % $%) $%$(0%0*)
$%-(0%0*); ,- /%&/; /*&*)
K =m
m yK =
c
c
0&0* 9 )& (&0*,*&0(*&/*) 0* $%) 8&8*&/-%8(&*) *& $%) 0) %)*). L%
*8%8(:& *) $% $*9 0* 0()/-(8(:& 0* N*-&)/4.
4Q%$/*- *-%&& N*-&)/ G-(/> H 25 0* &(0* 1!647 1! 0* &
7/26/2019 Sistemas Ternarios (Final Final)
10/50
L% $*9 0* 0()/-(8(:& 0* N*-&)/ )* ,*0* 8&)(0*-%- &% -% ,%-/(8$%- 0* $% $*9
0* *&-9; *& 0&0* &) *+,-*)%
K=CA
CB H3.!
D&0* CAW8&8*&/-%8(:& 0*$ )$/ *& $% 0()$8(:& A; CBW8&8*&/-%8(:& 0*$ )$/
*& $% 0()$8(:& B; 9 W 8*(8(*&/* 0* -*,%-/; *)/% $*9 )* %,$(8% 8%&0 $%)
0()$8(&*) )& 0($(0%) 9 *$ )$/ )* 8,-/% (0*%$*&/*; 9 *$ 8*(8(*&/* 0*
-*,%-/ *) &% 8&)/%&/* 0* *($(-(; 0*,*&0* 0* $% /*,*-%/-% 9 0* $%
&%/-%$*>% 0* $) 0()$
7/26/2019 Sistemas Ternarios (Final Final)
11/50
E& $) )()/*%) /*-&%-() *) ,)($* )*-
7/26/2019 Sistemas Ternarios (Final Final)
12/50
E&/&8*) /*&*) * ,%-% & )()/*% /*-0(&%(8 $% 8%&/(0%0 0*
7/26/2019 Sistemas Ternarios (Final Final)
13/50
P%-% $% -*%$(>%8(:& 0* $) 0(%=-%%) (0(*&)(&%$*) *) &*8*)%-( %&/*&*-
8&)/%&/*) 0)
7/26/2019 Sistemas Ternarios (Final Final)
14/50
%$/-% h )*% (=%$ % 1; ,- $ * $%) $&=(/0*)Mb, Ma, Mc )& (=%$*) % $%)
-%88(&*) $%-*) 0* $) 8,&*&/*) 0* A; B 9 C; -*),*8/(
7/26/2019 Sistemas Ternarios (Final Final)
15/50
O/-% -% 0* $**- *)/* 0(%=-%% *) % ,%-/(- 0* $%) $&*%); $%) 8%$*) $%) ,0*)
0*&(&%- $&*%) 0* ,-,-8(&%$(0%0. C%0% &% 0* *$$%) *) *& -*%$(0%0 &
0(%=-%% (&%-( * -*,%-/* *&/-* 0) 8,&*&/*) $% ,-,-8(:& * -*)/% /-%)
%/-((- %$ /*-8*- 8,&*&/* & ,-8*&/%* ( 9 0*/*-(&%0.
P%-% /*&*- &% $&*% * -*,-*)*&/* & ,-8*&/%* 0*/*-(&%0 0* & 0* $)
8,&*&/*) 8&)(0*-%0) HA; B C; )* /-%>% &% ,%-%$*$% *& *$ $%0 ,*)/ %$
7/26/2019 Sistemas Ternarios (Final Final)
16/50
Figura ). Com$osicin de la mezcla de '&C.
R*,-*)*&/%&0 *)/%) $&*%) *& & )$ 0(%=-%% 0* /-('&=$ *($'/*-;/*&*) $% (=-% 6.
Figura *. Diagrama triangular que re$resenta mezclas ternarias.
A0*'); % ,%-/(- 0*$ =-'(8 )* ,*0* (&*-(- * )* /(*&* &% *>8$% 0* /-*)
8,&*&/*) 9 * *$ ,&/ * -*,-*)*&/% 0(8% *>8$% *)/' 8,*)/ ,-
16
E)/%) $&*%) (&8$(&%0%); (&0(8%& *& %9 ,-*)*&8(% 0*$ 8,*)/ A
*& $% *>8$% 9 ,- /%&/ )$ *) &%*>8$% 0* B\C.
7/26/2019 Sistemas Ternarios (Final Final)
17/50
4# 0*$ 8,&*&/* A H$&*% $ 9 3#5 0*$
8,&*&/* C H$&*% &%-%&%.
T%(?& ,0*) )*-8$% $* 8--*),&0*& &% 0)
%)*); $) 0(%=-%%) /-(%&=$%-*) $(07$(0 ,-*)*&/%& $% 0*&(&%0% 8-8$% -*,-*)*&/%0% ,- & ,&/ )(/%0
,- *&8(% 0* $% 8-
7/26/2019 Sistemas Ternarios (Final Final)
18/50
E& & )()/*% 0* 0) %)*); ) 0(%=-%% & )$%*&/* (&0(8% 8%$(/%/(
7/26/2019 Sistemas Ternarios (Final Final)
19/50
A-% (*& ; ,%-% & )()/*% 0* $((0) /*-&%-() ,0*) (=%$*&/* /($(>%- $%
-*=$% 0* $%) %)*) *& )()/*%) (%)(8); /*&(*&0 *& 8*&/% * *)/% *) %
0* $%) %)*) (--*$*
7/26/2019 Sistemas Ternarios (Final Final)
20/50
$. JUSTIFICACI!N
C ,-:+() (&=*&(*-) (8); *) &*8*)%-( ,)**- *)/) 8&8((*&/)
/*-0(&'(8) ,%-% /*&*-$) 8 ) *& &*)/- %(*&/* $%-%$; 9 %)
%,$(8%-$) *& (&&%(*&/
,%-% (,$**&/%- &*
7/26/2019 Sistemas Ternarios (Final Final)
21/50
. MATERIALES Y REACTIVOS
.1 R%&'()*+,
(0-:+(0 0* S0( HN%O^#;!!M 8(0 A8?/(8 G$%8(%$ HC24O2 T$*& HC65C3 F*&$/%$*&% HC2#14O4
A=% 0*)/($%0% H2O F/%$%/ '8(0 0* ,/%)( P HC!5O4
.2 M&(%-)&%,
4 B-*/%) 0*1##$ 4 -*/%) 0* 5#$ 4 A&($$) */'$(8) 4 ,(&>%) ,%-% -*/% 4 ),-/*) &(
7/26/2019 Sistemas Ternarios (Final Final)
22/50
/. EPERIMENTACI!N
/.1. PRIMERA EPERIENCIA
I&(8(%$*&/*; )* /%-& $) )(=(*&/*) ,-8*&/%*)
7/26/2019 Sistemas Ternarios (Final Final)
23/50
Figura 4. 5ezcla de lquidos inmisiles agua y tolueno
Figura 16. 0itulacin con "cido ac/tico glacial $ara la mezcla ternaria.
/.2. ESTANDARIZACI!N
23
7/26/2019 Sistemas Ternarios (Final Final)
24/50
S* ,*)%-& 8%/- *)/-%) 0* %,-+(%0%*&/* #;1 =-%) 0* F/%$%/ '8(0 0*
P/%)( *& *%_*-) 0* 5#$ 8%0% &. S* %=-*=: 2#$ % 8%0% & 0* *$$); )*
0()$8$%); ,- )*,%-%0; )* ,%)%-& % & *0 0*
)*,%-%8(:&; *& *$ 8%$ )* %=(/:; 9 )* $(*-: $% ,-*)(:& 8%)(&%$*&/*; $*=; )*
0*: *& -*,) ,%-% * %) )* )*,%-%-%& $%) 0) %)*).
P)/*-(- % *)/; )* ,*): & E-$*&*9*-
7/26/2019 Sistemas Ternarios (Final Final)
25/50
Figura 11. 0itulacin con :a;9 de la ase acuosa.
7/26/2019 Sistemas Ternarios (Final Final)
26/50
2;4## 1;6## !;5## 12;5##2;6## 1;4## ;6## 11;6##2;!## 1;2## ;3## 11;3##3;### 1;### 6;!## 1#;!##3;2## #;!## 6;5## 1#;5##
3;4## #;6## 6;### 1#;###3;6## #;4## 4;2## !;2##
Figura 11. 5ezcla antes y des$u/s de agregar "cido ac/tico.
D*(0 % * *$ */(
7/26/2019 Sistemas Ternarios (Final Final)
27/50
8,&*&/* % $% /*,*-%/-% %(*&/* 8& * )* -*%$(>: $% *+,*-(*&8(%; $)
0%/) *&8&/-%0) )* *)/-% % 8&/(&%8(:&
0ala ). Densidades de cada com$onente a #6
7/26/2019 Sistemas Ternarios (Final Final)
28/50
mAc=(1,0493"
mL )(11,5mL)
mAc=12,067"
T*&(*&0 *& 8*&/% $) 8'$8$) %&/*-(-*); )* -*%$(>% *$ () ,-8*0((*&/
,%-% 8%0% 8,&*&/* *& $%) 0(*-*&/*) *>8$%) * )* -*%$(>%-&
*+,*-(*&/%$*&/*. E& $% /%$% 6 )* -*$%8(&%& 0(8) 8'$8$); %0*') 0* $%
%)% //%$ * *) $% )% 0* $%) %)%) 0* 8%0% 8,&*&/*.
0ala *. 7ramos iniciales de cada com$onente a $artir de la densidad.
TOLUENO 46 AGUA 46 =CIDO ACTICO GLACIAL 46 MASA TOTAL 46
#;13 3;!4 12;#6 16;#24#;34 3;5!5 11;542 15;44#;52# 3;3!5 11;43 15;343#;6"4 3;1!6 11;332 15;212#;!6 2;"! 11;123 14;"1;#4# 2;!! 1#;#3 14;5311;214 2;5!" 1#;4"3 14;2"51;3! 2;3"# 1#;2!3 14;#6#1;56# 2;1"1 1#;4"3 14;2441;34 1;""1 ";"6! 13;6"41;"# 1;"2 ";#24 12;232;#!1 1;5"3 !;"1" 12;5"32;254 1;3"4 ;"5 11;6232;42 1;1"5 ;66# 11;2!22;6#1 #;""6 ;135 1#;322;4 #;" 6;!2# 1#;3"12;"4 #;5" 6;2"6 ";!413;121 #;3"! 4;4# ;"26
D* $% ()% %&*-% * *& $% /%$% 5 )* 0*/*-(&%-& $%) %)%) 0* $)
8,&*&/*) 8& %90% 0* $% 0*&)(0%0 % $% /*,*-%/-% *+,*-(*&/%$; %)(()8& %90% 0* $% /%$% 6 9 *$ ,*) $*8$%- 0* $) 8,&*&/*) )/-%0) *& $%
/%$% ; )* 0*/*-(&% $) $*) 0* 8%0% &.
0ala +. Pesos moleculares $ara cada com$onente.
28
7/26/2019 Sistemas Ternarios (Final Final)
29/50
COMPONENTE PESO MOLECULAR 495+6T$*& "2;13"A=% 1!;#15
8(0 %8?/(8 6#;#52
A ,%-/(- 0*
ni=mi
PMi H5
P%-% *$ /$*&
nT= 0,173 "
92,139" /mo l
nT=0,00188mol
P%-% *$ %=% 0*)/($%0%
n#= 3,784 "
18,015 "/mol
n#=0,210mol
P%-% *$ '8(0 %8?/(8 =$%8(%$
nAc= 12,067 "
60,052" /mol
nAc=0,201mol
E& %)* % $) 8'$8$) %&/*-(-*); )* -*%$(>% *$ () ,-8*0((*&/ ,%-% 8%0%
8,&*&/* *& $%) 0(*-*&/*) *>8$%) * )* -*%$(>%-& *+,*-(*&/%$*&/*. E& $%
29
7/26/2019 Sistemas Ternarios (Final Final)
30/50
/%$% ! )* -*$%8(&%& 0(8) 8'$8$); %0*') 0* $%) $*) //%$*) * *) $% )%
0* $%) $*) 0* 8%0% 8,&*&/*.
0ala . 5oles de cada com$onente a $artir del $eso molecular.
TOLUENO
45+6
AGUA 45+6 =CIDO ACTICO GLACIAL
45+%,6
MOLES TOTALES
#;##1!! #;21# #;2#1 #;413#;##36 #;1"" #;1"2 #;3"5#;##565 #;1!! #;1"# #;3!4#;##53 #;1 #;1!" #;33#;##"41 #;166 #;1!5 #;36##;#113 #;155 #;1! #;344#;#132 #;144 #;15 #;332#;#151 #;133 #;11 #;31"
#;#16" #;122 #;15 #;313#;#1!! #;111 #;166 #;2"5#;#2# #;#""5 #;15# #;2##;#226 #;#!!4 #;14" #;26##;#245 #;#4 #;133 #;235#;#263 #;#663 #;12! #;22##;#2!2 #;#553 #;11" #;2#2#;#3#1 #;#442 #;114 #;1!!#;#32# #;#332 #;1#5 #;1##;#33" #;#221 #;#34 #;12"
P)/*-(-*&/* )* -*%$(>% & $/( ,-8*0((*&/; 9% * $ * (&/*-*)% *) $%
-%88(:& $%-; /*&(*&0 *& 8*&/% $% /%$% ! )* 0(8$%.
%$$%) $% -%88(:& $%- % ,%-/(- 0*
x i=
ni
ntotal H6
P%-% /$*&
30
7/26/2019 Sistemas Ternarios (Final Final)
31/50
xT=0,00188mol
0,413mol
xT=0,00456
P%-% %=% 0*)/($%0%
x#=0,210mol
0,413mol
x#=0,509
P%-% '8(0 %8?/(8 =$%8(%$
xAc=0,201mol
0,413mol
xAc=0,487
S* -*,(/* *$ () ,-8*0((*&/ ,%-% 8%0% 8,&*&/* *& $%) 0(*-*&/*)
*>8$%) * )* -*%$(>%-& *+,*-(*&/%$*&/*. E& $% /%$% " )* -*$%8(&%& 0(8)
8'$8$); %0*') 0* $%) $*) //%$*) * *) $% )% 0* $%) $*) 0* 8%0%
8,&*&/*.
0ala 4. Fracciones molares de cada com$onente.
TOLUENO AGUA =CIDO ACETICO GLACIAL FRACCI!N MOLAR
TOTAL#;##456 #;5#" #;4! 1;####;##"53 #;5#4 #;4! 1;####;#14 #;4!" #;4"6 1;###
#;#2#2 #;44 #;5#6 1;####;#261 #;46# #;514 1;####;#32! #;45# #;51! 1;####;#3" #;433 #;52 1;####;#42 #;416 #;53 1;####;#541 #;3!! #;55! 1;####;#63 #;34 #;562 1;####;#65 #;36! #;556 1;###
31
7/26/2019 Sistemas Ternarios (Final Final)
32/50
#;#!# #;341 #;52 1;####;1#4 #;33# #;566 1;####;12# #;3#1 #;5" 1;####;14# #;23 #;5! 1;####;16# #;235 #;6#4 1;###
#;1!! #;1"5 #;61 1;####;262 #;11 #;56 1;###
C )* *&8(&: %&/*-(-*&/* *) ,)($* -*%$(>%- *$ 0(%=-%% 8& %90% 0* $%)
-%88(&*) $%-*) 8& $% -*$%8(:& %)%7%)% 0* $) 8,&*&/*). P%-% $$*: &% *+/-%,$%8(:&; ,- $% )*&8($$% -%>:& 0* * $%
8%&/(0%0 0* 0%/) * )* /*&% *-%& ,8) ,%-% /*&*- &% 8-
7/26/2019 Sistemas Ternarios (Final Final)
33/50
C )* ,*0* )*-8$% /*-&%-(%; ,%-% $% *)/-% N`1 )* -*%$(>%-& $)
8'$8$) )/-%0) % 8&/(&%8(:&
M$a%&$a%=mol'( KP
M$a%0.75mL=0.1471")
1000m"
"
204.223(m"KP
mmol KP)
M$a%0.75mL= 147.1m"KP
204.223m"KP
mmolKP
M$a%=0.72mmolKP)
1mmol$a%
mmolKP
0.75mL
M$a%=0.96M
D* %&*-% %&'$=%; )* -*%$(>%-& $) 8'$8$) ,%-% $%) 0*') *)/-%)
M$a%&$a%=mol'( KP
M$a%0.65mL=0.1144 " )
1000m"
"
204.223( m" KP
mmol KP)
33
7/26/2019 Sistemas Ternarios (Final Final)
34/50
M$a%0.65mL= 114.4m"KP
204.223m"KP
mmolKP
M$a%=0.56mmolKP)1mmol $a%
mmol KP
0.65mL
M$a%=0.86M
M$a%&$a%=mol'( KP
M$a%0.75mL=0.1400")1000m"
"
204.223(m"KP
mmol KP)
M$a%0.75mL= 140.0m"KP
204.223m"KP
mmolKP
M$a%=0.68mmolKP)
1mmol $a%
mmolKP
0.75mL
M$a%=0.91M
M$a%&$a%=mol'( KP
M$a%0.65mL=0.1062" )
1000m"
"
204.223( m" KP
mmol KP)
34
7/26/2019 Sistemas Ternarios (Final Final)
35/50
M$a%0.65mL= 106.2m"KP
204.223m"KP
mmolKP
M$a%=0.52mmolKP) 1mmol$a%
mmolKP
0.65mL
M$a%=0.80M
E& %)* % $) -*)$/%0) /*&(0) %&/*-(-*&/*; 8%$8$%) &% $%-(0%0
,-*0( 0* $% )$8(:& 0* N%O
M*+om',io=0.96+0.86+0.91+0.80
4
M*+om'io=3.53
4
M*+om',io=0.88M
7/26/2019 Sistemas Ternarios (Final Final)
36/50
D* $%) *>8$%) /*-&%-(%) 0* $% /%$% 11 )* /
7/26/2019 Sistemas Ternarios (Final Final)
37/50
7 P%-% $% *>8$% A
3,6mL$a%)
1L
1000mL)0,88mol $a%
1L)
1mol Ac
1mol$a%) 60 " Ac
1mol Ac
0,19 ")6.5mL
2mL =0,6177 " Ac
24,6mL$a%)
1L
1000mL)0,88mol$a%
1L)
1mol Ac
1mol$a%) 60 " Ac
1mol Ac
1,2488")12mL
2mL=7,7933 " Ac
7 P%-% $% *>8$% B
6,4mL$a%)
1L
1000mL)0,88mol$a%
1L)
1mol Ac
1mol$a%) 60" Ac
1mol Ac
0.33792 ")5.2mL
2mL =0.8785 " Ac
16mL$a%)
1L
1000mL)0,88mol $a%
1L)
1mol Ac
1mol$a%) 60 " Ac
1mol Ac
0,8448" )10mL
2mL=4,224 " Ac
7 P%-% $% *>8$% C
4,4mL$a%)
1L
1000mL)0,88mol $a%
1L)
1mol Ac
1mol$a%) 60" Ac
1mol Ac
37
7/26/2019 Sistemas Ternarios (Final Final)
38/50
0.2323")7mL
2mL=0.8131" Ac
17,6mL$a%)
1L
1000mL
)0,88mol$a%
1L
) 1mol Ac
1mol$a%
) 60 " Ac
1mol Ac
0,9292")15mL
2mL=6,9696 " Ac
S*=(0%*&/* 8%$8$%) $) ,-8*&/%*) *& ,*) 0* 8%0% %)*
7 P%-% $% *>8$% A
F%)* O-='&(8%
P
P=
",' Ac.ac-tico
" ,'a(' 100=
0,6177 "
7,3023 "100=8,459
F%)* A8)%
P
P="' Ac. ac-tico
" 'a(' 100=
7,7933 "
14,3344 "100=54,368
7 P%-% $% *>8$% B
F%)* O-='&(8%
P
P=
",' Ac.ac-tico
" ,'a(' 100=
0,8785"
9,6574 "100=9,097
F%)* A8)%
38
7/26/2019 Sistemas Ternarios (Final Final)
39/50
P
P="' Ac .ac-tico
" 'a(' 100=
4,224 "
11,3164"100=37,326
7 P%-% $% *>8$% C
F%)* O-='&(8%
P
P="' Ac .ac-tico
" 'a(' 100=
0,8131"
5,0864 "100=15,986
F%)* A8)%
P
P="' Ac .ac-tico
" 'a(' 100=
6,9696 "
17,1815 "100=40,564
P- $/( %$$%) $% -%88(:& ')(8% 0* '8(0 %8?/(8 *& 8%0% %)* ,%-% /-%>%-
$%) $&*%) 0* &(:& 0* -*,%-/.
7 P%-% $% *>8$% A
/o+"0nica=0,6177"
8,411"=0,0734
/ac1o(a=7,7933 "
8,411"=0,9266
7 P%-% $% *>8$% B
/o+"0nica=0,8785"
5,1025 "=0,1722
39
7/26/2019 Sistemas Ternarios (Final Final)
40/50
/ac1o(a=4,224 "
5,1025 "=0,8278
7 P%-% $% *>8$% C
/o+"0nica=0,8131"
7,7827 "=0,1045
/ac1o(a=6,9696
7,7827=0,8955
0ala 1#. =esultados $ara la construccin de las lneas de re$arto.
F&,%
M&,& :% &
?&,% 46
M&,& '):+
&';()'+ %7 &
?&,% 46
89 :%
'):+ &';()'+
F-&'')7
5,)'& :%
'):+ &';()'+O-='&(8% A ;3#23 #;61 !;45" #;#34A8)% A 14;3344 ;"33 54;36! #;"266O-='&(8 B ";654 #;!!5 ";#" #;122A8)% B 11;3164 4;224 3;326 #;!2!
O-='&(8% C 5;#!64 #;!131 15;"!6 #;1#45A8)% C 1;1!15 6;"6"6 4#;564 #;!"55
40
7/26/2019 Sistemas Ternarios (Final Final)
41/50
. CONCLUSIONES
P%-% $% 0*/*-(&%8(:& 9 8&)/-88(:& 0* $% 8-
7/26/2019 Sistemas Ternarios (Final Final)
42/50
. RECOMENDACIONES
C ,-(*-% -*8*&0%8(:&; )* )=(*-* $**- 9 *)/0(%- 9 (*& $% *+,*-(*&8(%
*& 8%0% &% 0* $%) *&/*) ,-,-8(&%0%) ,- *$ //- *&/*) 8&(%$*) *&
(&/*-&*/; *)/ 8& *$ (& 0* ,-,-8(&%- % 8%0% (&/*=-%&/* 0*$ =-, $) ,%))
*/%,%) % )*=(- ,%-% -*%$(>%- *)/% ,-'8/(8% 0* $% *- %&*-%. T%(?&; )*
,-,&* ,-%8/(8%- 8& $) %/*-(%$*) % )%- *& *$ $%-%/-( /%$*) 8; -*/%) 9
*0) 0* )*,%-%8(:& 0* *>8$%); %/*-(%$*) * )& *)*&8(%$*) % $% -% 0*
-*%$(>%- $% *+,*-(*&8(%; *)/ 8& *$ ,-,:)(/ 0* /*&*- & &/%$* 0*)*,* %$
*&/ 0* )%-$%) 9 -*08(- & ,)($* %88(0*&/*.
C )*=&0% -*8*&0%8(:&; /-%/%- 0* /-%%%- *& & $=%- 0*),*%0; $(,(; 9
9 -0*&%0. A0*'); )* %8&)*% $**- (*& $%) /%$%) 0* )*=-(0%0 0* 8%0%
-*%8/(
7/26/2019 Sistemas Ternarios (Final Final)
43/50
10. ANEOS
43
7/26/2019 Sistemas Ternarios (Final Final)
44/50
A&*+ 1; F(8% 0* )*=-(0%0 0*$ N%O.
44
7/26/2019 Sistemas Ternarios (Final Final)
45/50
P-*,%-%0% *& *$ C&/*+/ 0* C,*-%8(:& *&/-* *$ IPCS 9 $% C()(:& E-,*% a
CE; IPCS; 2#1#.
45
7/26/2019 Sistemas Ternarios (Final Final)
46/50
A&*+ 2; (8% 0* )*=-(0%0 0*$ /$*&.
46
7/26/2019 Sistemas Ternarios (Final Final)
47/50
P-*,%-%0% *& *$ C&/*+/ 0* C,*-%8(:& *&/-* *$ IPCS 9 $% C()(:& E-,*% a
IPCS; CE 2##3.
47
7/26/2019 Sistemas Ternarios (Final Final)
48/50
A&*+ 3; (8% 0* )*=-(0%0 0*$ 8(0 A8?/(8 =$%8(%$. CTR S8(*&/((8
,-,-8(&% $% (&-%8(:& 8&/*&(0% %.
48
7/26/2019 Sistemas Ternarios (Final Final)
49/50
49
7/26/2019 Sistemas Ternarios (Final Final)
50/50