PROBLEMA 9.4 LOS DATOS VAPOR LIQUIDO EN EL EQUILIBRIO A 1 ATM ABS, LOS CALORES DE SOLUCION, LAS CAPACIDADES CALORIFICAS Y LOS CALORES LATENTES DE EVAPORACION PARA EL SISTEMA "ACETONA-AGUA" SON:
x fracción mol de aceona en el l!"#ido
*+ fracción mol en e"#il. $e Caac. Calor. & aceona en el emera#ra 17.2 °C, '(' aor aor l!"#ido °C %ol, °C
Calor in. $e %ol. & 15 °C, '()'mol %ol
Peso Peso molecular de molecular de la mezcla la mezcla kg/kmol (liq) kg/kmol (a!) ca calor aceona, '()'.°C
Calor la. $e ea., '()'
0.0000
0
0.000
100.000
4.18
1 8. 8.0160
18.0160
! .4 !
849.0
0.0100
-95.8
0.!#
91.00
4.19
1 8. 8.4166
28.1522
! .4 !
8$$.0
0.0!00
-188.4
0.4!
8$.$00
4.1$!
1 8. 8.8173
35.0432
! .4 0 8
8$.4
0.000
-44.#
0.$!4
.00
4.1!4
2 0. 0.0192
43.0159
! .# !
898.$
0.1000
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4.0!0
2 2. 2.0224
48.2643
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91.!
0.100
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0.98
$#.400
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2 4. 4.0256
49.9871
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0.!000
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0.81
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50.6682
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9!$.1
0.#000
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$1.000
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3 0. 0.0352
51.2691
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9!8.$
0.4000
-09
0.8#9
$0.400
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3 4. 4.0416
51.6297
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0.000
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0.849
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3 8. 8.0480
52.0303
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0.$000
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0.89
9.00
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52.4310
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0.000
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0.84
8.900
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4 6. 6.0608
53.0319
! .# 1 9
9#!.9
0.8000
-124.2
0.898
8.!00
!.4
5 0. 0.0672
53.9935
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9#4.#
0.9000
-69.6
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55.4758
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0.900
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5 6. 6.0768
56.5976
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1.0000
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1.000
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5 8. 8.0800
58.0800
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9#.
ca calor aceona, '()'.°C
T, °C
Calor la. $e ea., '()'
ca calor a#a, cal) °C
T, °C
ca calor a#a, '()' °C
Calor la. $e ea. a#a, /#)l
T, °F
T, °C
!0.0
!.!!
101#
!0
0.9994
4.18
0
104.048
!1.1
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9$
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0.998$4
4.181
100
10#.101
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!.#4
91
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1.0009
4.190
10
1008.1
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9#.#
!.4#
8$#
9#
1.004
4.!11
!00
9.91
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80
100
1.00$#
4.!19
!1!
90.##
100.0
100.0
CALCULE LAS ENTALPIAS DE LOS LIQUIDOS Y VAPORES VAPORES SATURADOS CON LA RELACION ACETONA-AGUA ACETONA-AGUA A 1 %C Y GRAFIQUE EL DIAGRAMA DE ENTALPIA ENTALPIA CONCENTRACION, A 1 &'( &)*. TENGASE PRESENTE LO ANTERIOR PARA PARA UTILI+ARLO EN LOS PROBLEMAS 9., 9.$ Y 9.9
0 0.00000.!0000.40000.$0000.80001.00001.!000 -100
0 ,/0.0000 - 8"!$1.$#$809!#19# - 11#"$."489894#" 2 ."!$8#188! 0.0"00 0.1000 2 "#99".140$$9#9$! 0.1"00 0.!000 0.!"00 -100 R3 0.999481$!
-!00
-!00
-#00
-#00
-400
-400
-00
-"00
-$00
-$00
-00
-00
-800
-800
-900
-900
0 ,/0.! 000 !$1!.$#910449# 0.4 000 0.$ 000 0.- 8$#0!.44"#!"41!!! 000 1.0 000 1.! 000 2 ""90.1#0!#99# - 1900.#$01888$$ -100 R3 0.9999!"099 -!00
Ca-acidad Calorica de la aceona a 17.2 °C, '(' %ol, °C
,/ - 9.##99"81!"8404E-08# 2 !."8#8$""0101"$E-0"! 2 0.00100"#!" 2 !.190##$"8# R3 1
-#00 -400
&xi% Tile
-"00 -$00 -00 &xi% Tile
-800 Calor laene de e,a-oración de la aceona en '()'.
4.!#0
10"0 1000 ,/ - !.0#91!99"4# 2 10"!.9"8491#0!! R3 0.999$#!!89 9"0
4.!!0
&xi% Tile 900 8"0
4.!10
800 "0 0.0 !0.0 40.0 $0.0 80.0100.01!0.0
4.!00
&xi% Tile &xi% Tile Calor laene de e,a-. &#a '()' !"00.0 !4"0.0 ,/ - 0.0018"1$$ !400.0 8! - !.!40"80!9# 2 !499.8#!4#8$81! R3 0.99999048 !#"0.0 !#00.0 &xi% Tile !!"0.0 !!00.0 !1"0.0
4.190
4.180
4.10
4.1$0
10
!0
#0
40
0
$0
&xi% Tile &xi% Tile
0
80
90
100 11
ca calor a#a, '()' °C
calor la ea a#a
x fracción e%o * fracción e%o aceona l!"#ido aceona, aor li" '()'
a '()'
li" '()'mol
a '()'mol
4.!18 !!.1444
0.000000
0.000000
#4$.$8
!$0$.4
$!4.8
4$91$.41
4.!100 !!8.#019
0.0#1#
0.!19
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18.
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0!1.0
4.!0! !!91.8490#
0.0$1#0
0.04#88
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!4$#.00
4.19$! 2319.5618226 4.190! !#4!.#9$
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0.84!!#
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0.9084
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0.80119
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4.180 !#.18#
0.$8!49
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118.8
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0.98891
94.91
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90.99
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9149.80
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1.000000
1.000000
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9$9.0
Calor la. $e ea. a#a, '()'
!41.8 !41!.4 !#4.0 !!4. !!.1
C56(7 F
0
Diagrama de equilibrio Entalpía contra concentración. Sistema Acetona-Agua a 760 mm Hg. k !kg "s #. peso
Diagrama de equilibrio E Sistema Acetona-Agua a
8000
1!0000
100000 $000
80000 4000 $0000
. ' ) ( ' a ! l a n 3
!000
0 0.00
0.10
0.!0
0.#0
0.40
0.0
0.$0
0.0
0.80
0.90
1.00
l o m40000 ' ) ( ' a ! l a !0000 n 3
0
0.0000 0.1000 0.!000 0.#000
-!000
-!0000
-4000 -40000
-$000
Fracción e%o de aceona
1!0.000
100.000 ,/ - 1090."08$899"1$ 2 #$01.9!!9#01#8" - 4#1$.#1$$84!#994 2 !!90.0008110""# - "4!.$9$11$4!4! 2 14.!$4!9"8$ 2 99.9988$88"$" ,/ #441."#9081181$ - 11!8.!$$90"$9$" 2 1"$#8.84#1#40$#4 - 10#1".##00$98#9# 2 #499.#1##8111#! - ".194010$9 2 9.98$448!41$ R3 0.999!$$$ R3 0.99""8##89#
80.000
-$0000
Fra
&xi% Tile
$0.000
40.000
!0.000
0.000 0.0000
0.!000
0.4000 &xi% Tile
0.$000
0.8000
1.0000
talpía contra concentración. 60 mm Hg. k!kmol "s #. mol
.4000 0.000 0.$000 0.000 0.8000 0.9000 1.0000
cción mol de aceona
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
TR! 1. C
TL #.8 C LJD 1.8
S ;6?& 5 99. = 5& &;'7& D 99 TD #.8 C
10000 5)J@ ! &;'7& T& !$. C
V&? & 0 KNJ(!
*+ fracción mol en e"#il. $e aceona en emera#ra aor Caac. Calor. & 17.2 el aor l!"#ido °C °C, '(' %ol, °C
x fracción mol Calor in. $e de aceona en %ol. & 15 °C, el l!"#ido '()'mol %ol
Peso Peso molecular de molecular de la mezcla kg/kmol la mezcla (a!) kg/kmol (liq)
0.0000
0
0.000
100.000
4.18
18.0160
18.0160
0.0100
-95.8
0.!#
91.00
4.19
18.4166
28.1522
0.0!00
-188.4
0.4!
8$.$00
4.1$!
18.8173
35.0432
0.000
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0.$!4
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4.1!4
20.0192
43.0159
0.1000
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4.0!0
22.0224
48.2643
0.100
-0
0.98
$#.400
#.894
24.0256
49.9871
0.!000
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0.81
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#.810
26.0288
50.6682
0.#000
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0.8#0
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30.0352
51.2691
0.4000
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0.8#9
$0.400
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34.0416
51.6297
0.000
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0.849
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38.0480
52.0303
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0.89
9.00
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42.0544
52.4310
0.000
-179.3
0.84
8.900
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46.0608
53.0319
0.8000
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0.898
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50.0672
53.9935
0.9000
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54.0736
55.4758
0.900
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56.0768
56.5976
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Q&6&QC QCJ;?TS
11!8.#! KJ@ = &;'7& 7 5 =*5&=
A;'7& 7 5 *<=6 F&-F&0.99
.$ KJ@ = &;'7& 7 5 *<=6
B&5&7; = ;
F56 = =*5&= D
99 ?* = &;'7& 7 5 =*5&=
DD F&0.99 D F&0.99$JD
C&& =5 @ 11#9.! KJ@ = =*5&= QBDD 2
F56 = R*<=6 R F-D
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V&? P
R F&-F&0.99JR
0.001$$9 . ?*
R
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RH6 RD LJD L RDD
1.8 !01.0 KJ@ = H6 ;(?*<;<7 '(?&'6& <6&5 &5 =*5&=
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C&& &5 ;7=7*&=
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QC DRD21/G1-RDL-D P&& 1 D L
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ca calor aceona, '()'.°C
Calor la. $e ea., '()'
ca calor a#a, '()' °C
calor la ea a#a
x fracción e%o aceona * fracción e%o l!"#ido aceona, aor li" '()'
a '()'
!.4!
849.0
4.!18 !!.1444
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0.000000
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4.!100 !!8.#0!
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