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SISTEMA ETANOL-AGUA
PM l
ρ (gr/ml)gr/mol kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00 0.79
AGUA 18 0.9987 540.00 1
PROMEDIO 29.228 0.85922 404 0.916
Datos de Equilibrio TXY Curva de CalibraciónX Y T( ºc)
0 0 100 % V/V X Prom0.019 0.17 95.5 0 0.0000 1.3330.0721 0.3891 89 5 0.0160 1.33520.0966 0.4375 86.7 10 0.0332 1.33740.1238 0.4704 85.3 20 0.0716 1.3420.1661 0.5089 84.1 30 0.1168 1.34570.2337 0.5445 82.7 40 0.1707 1.3510.2608 0.558 82.3 50 0.2359 1.35440.3273 0.5826 81.5 60 0.3165 1.35640.3965 0.6122 80.5 70 0.4187 1.3590.5079 0.6564 79.8 80 0.5525 1.35990.5198 0.6599 79.7 83 0.6011 1.36060.5732 0.6841 79.3 86 0.6547 1.36140.6763 0.7385 78.74 89 0.7141 1.36170.7472 0.7815 78.41 92 0.7802 1.36180.8943 0.8943 78.15 95 0.8543 1.3612
Cp
1 1 98 0.9380 1.3602
PM l
kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00
AGUA 18 0.9987 540.00
PROMEDIO 26.207668 0.8967401 440.58
F = 117,935 kg/h
0.2924 F. Mol
0.2195 F. Mol Datos del Problema
0.6349 F. Mol
84.700 ºC
167%
77.20 ºC Temperatura del Liquido Saturado
85.400 ºC Temperatura del vapor saturado
52,827,260.537 kcal Calor de vaporizacion
49,620,847.012 kcal Calor necesario para llevar la alimentacion hasta vapor saturado
0.9393 0.94
Linea de alimentacion
y = -15.4755 x + 4.8174
Cp
xF =
xW =
xD =
TF =
Rreal = Superior a Rmin
TL =
TG =
HG - HL =
HG - HF =
q =
x y
Puntos Linea q 0.29 0.29
0.22 1.4206
0.6349 -5.0080
Puntos Linea de 0.6349 0.6349
Rectificacion a 0 0.51 Leer en el grafico
0 0.5100
Balance General de materia Linea Reflujo minimo
F = D + W 0.1967 x + 0.5100
Rmin = 0.244902
4500.000 = D + W Linea de Rectificacion
1315.8 Rreal = 0.4089863
0.2903 0.4506
Resolviendo sistema
W = 3710.28 kmol/h x y
D = 789.72 kmol/h Puntos Linea de 0.6349 0.6349
R = L/D; L = R.D Rectificacion 0 0.451
L = 322.98 kmol/h
G = L + D
G = 1112.71 kmol/h
839.57 kmol/h
Rmin
yn+1 =
xFF = xDD + xWW
= XDD + XWW
yn+1 = xn +
G = F(q-1) + G
G =
4549.85 kmol/h
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2
α 2.38 PLATOS MINIMOS PLATOS REALES
x y x y
Nmin -2.40 0.6349 0.6349 0.6349 0.6349
0.4800 0.6349 0.4700 0.6349
Eexp 55.56 0.4800 0.4800 0.4700 0.5870
Eteori 64.286 0.1300 0.4800 0.3400 0.5870
0.1300 0.1300 0.3400 0.5493
XA YA 0.2400 0.5493
0.4 0.613 2.375968992 0.2400 0.5203
0.6 0.387 0.1900 0.5203
X(XY) Y(T) 0.1900 0.5058
XL 0.077 88.500 0.5058
XF 0.400 88.500 0.0000
0.400 80.500
0.613 80.500
F + L + G = G + L
L =
xL =
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
y = 0,811x6 - 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 + 0,3415x - 4E-04
x y
0.6349 0.6349
0.3893 0.6349
0.3893 #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
SISTEMA ETANOL-AGUA
PM l
ρ (gr/ml)gr/mol kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00 0.79
AGUA 18 0.9987 540.00 1
PROMEDIO 29.228 0.85922 404 0.916
Datos de Equilibrio TXY Curva de CalibraciónX Y T( ºc)
0 0 100 % V/V X Prom0.019 0.17 95.5 0 0.0000 1.3330.0721 0.3891 89 5 0.0160 1.33520.0966 0.4375 86.7 10 0.0332 1.33740.1238 0.4704 85.3 20 0.0716 1.3420.1661 0.5089 84.1 30 0.1168 1.34570.2337 0.5445 82.7 40 0.1707 1.3510.2608 0.558 82.3 50 0.2359 1.35440.3273 0.5826 81.5 60 0.3165 1.35640.3965 0.6122 80.5 70 0.4187 1.3590.5079 0.6564 79.8 80 0.5525 1.35990.5198 0.6599 79.7 83 0.6011 1.36060.5732 0.6841 79.3 86 0.6547 1.36140.6763 0.7385 78.74 89 0.7141 1.36170.7472 0.7815 78.41 92 0.7802 1.36180.8943 0.8943 78.15 95 0.8543 1.3612
Cp
1 1 98 0.9380 1.3602
PM l
kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00
AGUA 18 0.9987 540.00
PROMEDIO 26.207668 0.8967401 440.58
F = 117,935 kg/h
0.2924 F. Mol
0.2195 F. Mol Datos del Problema
0.644 F. Mol
84.200 ºC
250%
77.00 ºC Temperatura del Liquido Saturado
84.700 ºC Temperatura del vapor saturado
52,774,382.235 kcal Calor de vaporizacion
49,638,720.005 kcal Calor necesario para llevar la alimentacion hasta vapor saturado
0.9406 0.94
Linea de alimentacion
y = -15.8304 x + 4.9212
Cp
xF =
xW =
xD =
TF =
Rreal = Superior a Rmin
TL =
TG =
HG - HL =
HG - HF =
q =
x y
Puntos Linea q 0.29 0.29
0.22 1.4464
0.6440 -5.2736
Puntos Linea de 0.644 0.644
Rectificacion a 0 0.5 Leer en el grafico
0 0.5000
Balance General de materia Linea Reflujo minimo
F = D + W 0.2236 x + 0.5000
Rmin = 0.288
4500.000 = D + W Linea de Rectificacion
1315.8 Rreal = 0.72
0.4186 0.3744
Resolviendo sistema
W = 3727.21 kmol/h x y
D = 772.79 kmol/h Puntos Linea de 0.644 0.644
R = L/D; L = R.D Rectificacion 0 0.374
L = 556.41 kmol/h
G = L + D
G = 1329.20 kmol/h
1061.83 kmol/h
Rmin
yn+1 =
xFF = xDD + xWW
= XDD + XWW
yn+1 = xn +
G = F(q-1) + G
G =
4789.04 kmol/h
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2
α 2.38 PLATOS MINIMOS PLATOS REALES
x y x y
Nmin -2.35 0.6440 0.6440 0.6440 0.6440
0.4750 0.6440 0.4750 0.6440
Eexp 55.56 0.4750 0.4750 0.4750 0.5732
Eteori 64.286 0.1239 0.4750 0.2994 0.5732
0.1239 0.1239 0.2994 0.4998
XA YA 0.1564 0.4998
0.4 0.613 2.375968992 0.1564 0.4399
0.6 0.387 0.0927 0.4399
X(XY) Y(T) 0.0927 0.4132
XL 0.077 88.500
XF 0.400 88.500
0.400 80.500
0.613 80.500
F + L + G = G + L
L =
xL =
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
SISTEMA ETANOL-AGUA
PM l ρ (gr/ml)
gr/mol kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00 0.79
AGUA 18 0.9987 540.00 1
PROMEDIO 29.228 0.85922 404 0.916
Datos de Equilibrio TXY Curva de CalibraciónX Y T( ºc) % V/V X Prom0 0 100 0 0.0000 1.333
0.019 0.17 95.5 5 0.0160 1.33520.0721 0.3891 89 10 0.0332 1.33740.0966 0.4375 86.7 20 0.0716 1.3420.1238 0.4704 85.3 30 0.1168 1.34570.1661 0.5089 84.1 40 0.1707 1.3510.2337 0.5445 82.7 50 0.2359 1.35440.2608 0.558 82.3 60 0.3165 1.35640.3273 0.5826 81.5 70 0.4187 1.3590.3965 0.6122 80.5 80 0.5525 1.35990.5079 0.6564 79.8 83 0.6011 1.36060.5198 0.6599 79.7 86 0.6547 1.36140.5732 0.6841 79.3 89 0.7141 1.36170.6763 0.7385 78.74 92 0.7802 1.36180.7472 0.7815 78.41 95 0.8543 1.36120.8943 0.8943 78.15 98 0.9380 1.3602
Cp
1 1
PM l
kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00
AGUA 18 0.9987 540.00
PROMEDIO 26.207668 0.89674012 440.58
F = 117,935 kg/h
0.2924 F. Mol
0.2195 F. Mol Datos del Problema
0.5059 F. Mol
28.000 ºC
100%
84.20 ºC Temperatura del Liquido Saturado
84.400 ºC Temperatura del vapor saturado
51,981,207.712 kcal Calor de vaporizacion
57,924,728.804 kcal Calor necesario para llevar la alimentacion hasta vapor saturado
1.1143 1.11
Linea de alimentacion
y = 9.7459 x + -2.5573
Cp
xF =
xW =
xD =
TF =
Rreal = Superior a Rmin
TL =
TG =
HG - HL =
HG - HF =
q =
x y
Puntos Linea q 0.29 0.29
0.5059 2.3731
Puntos Linea de 0.5059 0.5059
Rectificacion a 0 0.5059 Leer en el grafico
0 0.5059
Balance General de materia Linea Reflujo minimo
F = D + W 0.0000 x + 0.5059
Rmin = 0
4500.000 = D + W Linea de Rectificacion
1315.8 Rreal = 0
0.0000 0.5059
Resolviendo sistema
W = 3354.57 kmol/h x y
D = 1145.43 kmol/h Puntos Linea de 0.5059 0.5059
R = L/D; L = R.D Rectificacion 0 0.506
L = 0.00 kmol/h
G = L + D
G = 1145.43 kmol/h
1659.96 kmol/h
Rmin
yn+1 =
xFF = xDD + xWW
= XDD + XWW
yn+1 = xn +
G = F(q-1) + G
G =
5014.53 kmol/h
α 2.38
Nmin -3.01
Eexp 55.56
Eteori 64.286
X(XY) Y(T)
XL 0.077 88.500 XA YA
XF 0.400 88.500 0.4 0.613 2.3759689922
0.400 80.500 0.6 0.387
0.613 80.500
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2
x y x y
0.5059 0.5059 0.5059 0.5059
0.1700 0.5059 0.2795 0.5059
F + L + G = G + L
L =
xL =
0.1700 0.1700 0.2795 #DIV/0!
0.0190 0.1700 0.0000 #DIV/0!
0.0190 0.0190 0.0000 0.0000
0.6000 0.0000
0.6000 #DIV/0!
0.3650 #DIV/0!
0.3650 #DIV/0!
0.0650 #DIV/0!
0.0600 0.0000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
y = 0,811x6 - 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 + 0,3415x - 4E-04
x y
0.5059 0.5059
0.2644 0.5059
0.2644 0.0000
0.0000 0.0000
0.0000 #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquidoy,
Fra
c. m
ol d
e E
tan
ol e
n e
l va
po
r
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
SISTEMA ETANOL-AGUA
PM l
ρ (gr/ml)gr/mol kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00 0.79
AGUA 18 0.9987 540.00 1
PROMEDIO 29.228 0.85922 404 0.916
Datos de Equilibrio TXY Curva de CalibraciónX Y T( ºc)
0 0 100 % V/V X Prom0.019 0.17 95.5 0 0.0000 1.3330.0721 0.3891 89 5 0.0160 1.33520.0966 0.4375 86.7 10 0.0332 1.33740.1238 0.4704 85.3 20 0.0716 1.3420.1661 0.5089 84.1 30 0.1168 1.34570.2337 0.5445 82.7 40 0.1707 1.3510.2608 0.558 82.3 50 0.2359 1.35440.3273 0.5826 81.5 60 0.3165 1.35640.3965 0.6122 80.5 70 0.4187 1.3590.5079 0.6564 79.8 80 0.5525 1.35990.5198 0.6599 79.7 83 0.6011 1.36060.5732 0.6841 79.3 86 0.6547 1.36140.6763 0.7385 78.74 89 0.7141 1.36170.7472 0.7815 78.41 92 0.7802 1.36180.8943 0.8943 78.15 95 0.8543 1.3612
Cp
1 1 98 0.9380 1.3602
PM l
kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00
AGUA 18 0.9987 540.00
PROMEDIO 26.207668 0.8967401 440.58
F = 117,935 kg/h
0.2924 F. Mol
0.2195 F. Mol Datos del Problema
0.735 F. Mol
85.400 ºC
125%
77.30 ºC Temperatura del Liquido Saturado
85.900 ºC Temperatura del vapor saturado
52,869,563.178 kcal Calor de vaporizacion
50,065,217.755 kcal Calor necesario para llevar la alimentacion hasta vapor saturado
0.9470 0.95
Linea de alimentacion
y = -17.8527 x + 5.5125
Cp
xF =
xW =
xD =
TF =
Rreal = Superior a Rmin
TL =
TG =
HG - HL =
HG - HF =
q =
x y
Puntos Linea q 0.29 0.29
0.22 1.5939
0.7350 -7.6092
Puntos Linea de 0.735 0.735
Rectificacion a 0 0.465 Leer en el grafico
0 0.4650
Balance General de materia Linea Reflujo minimo
F = D + W 0.3673 x + 0.4650
Rmin = 0.5806452
4500.000 = D + W Linea de Rectificacion
1315.8 Rreal = 0.7258065
0.4206 0.4259
Resolviendo sistema
W = 3863.63 kmol/h x y
D = 636.37 kmol/h Puntos Linea de 0.735 0.735
R = L/D; L = R.D Rectificacion 0 0.426
L = 461.88 kmol/h
G = L + D
G = 1098.26 kmol/h
859.56 kmol/h
Rmin
yn+1 =
xFF = xDD + xWW
= XDD + XWW
yn+1 = xn +
G = F(q-1) + G
G =
4723.19 kmol/h
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2
α 2.38 PLATOS MINIMOS PLATOS REALES
x y x y
Nmin -1.86 0.7350 0.7350 0.7350 0.7350
0.6700 0.7350 0.6700 0.7350
Eexp 55.56 0.6700 0.6700 0.6700 0.7077
Eteori 64.286 0.5500 0.6700 0.6200 0.7077
0.5500 0.5500 0.6200 0.6866
XA YA 0.2500 0.5500 0.5750 0.6866
0.4 0.613 2.375968992 0.2500 0.2500 0.5750 0.6677
0.6 0.387 0.0400 0.2500 0.5500 0.6677
X(XY) Y(T) 0.0400 0.0400 0.5500 0.6572
XL 0.077 88.500 0.0400 0.5100 0.6572
XF 0.400 88.500 0.5100 0.6404
0.400 80.500 0.4700 0.6404
0.613 80.500 0.4700 0.6236
0.4200 0.6236
0.4200 0.6025
0.3600 0.6025
0.3600 0.5773
0.3200 0.5773
0.3200 0.5605
F + L + G = G + L
L =
xL =
0.2800 0.5605
0.2800 0.5436
0.2400 0.5436
0.2400 0.5268
0.2000 0.5268
0.2000 0.5100
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
y = 0,811x6 - 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 + 0,3415x - 4E-04
x y
0.7350 0.7350
0.5203 0.7350
0.5203 #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
#DIV/0! #DIV/0!
#DIV/0! #DIV/0!
SISTEMA ETANOL-AGUA
PM l
ρ (gr/ml)gr/mol kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00 0.79
AGUA 18 0.9987 540.00 1
PROMEDIO 29.228 0.85922 404 0.916
Datos de Equilibrio TXY Curva de CalibraciónX Y T( ºc)
0 0 100 % V/V0.019 0.17 95.5 00.0721 0.3891 89 50.0966 0.4375 86.7 100.1238 0.4704 85.3 200.1661 0.5089 84.1 300.2337 0.5445 82.7 400.2608 0.558 82.3 500.3273 0.5826 81.5 600.3965 0.6122 80.5 700.5079 0.6564 79.8 800.5198 0.6599 79.7 830.5732 0.6841 79.3 860.6763 0.7385 78.74 890.7472 0.7815 78.41 920.8943 0.8943 78.15 95
1 1 98
PM l
kcal/(kg.ºC) kcal/kg
ETANOL 46.07 0.65 200.00
AGUA 18 0.9987 540.00
PROMEDIO 26.207668 0.8967401 440.58
F = 117,935 kg/h
0.2924 F. Mol
0.2195 F. Mol Datos del Problema
0.5059 F. Mol
28.000 ºC
Cp
Cp
xF =
xW =xD =
TF =
3%
84.20 ºC Temperatura del Liquido Saturado
84.400 ºC Temperatura del vapor saturado
51,981,207.712 kcal Calor de vaporizacion
57,924,728.804 kcal Calor necesario para llevar la alimentacion hasta vapor saturado
1.1143 1.11
Linea de alimentacion
y = 9.7459 x + -2.5573
x y
Puntos Linea q 0.29 0.29
0.5059 2.3731
Puntos Linea de 0.5059 0.5059
Rectificacion a 0 0.72 Leer en el grafico0 0.7200
Balance General de materia Linea Reflujo minimo
F = D + W -0.4232Rmin =
4500.000 = D + W Linea de Rectificacion1315.8 Rreal =
-0.0075 Resolviendo sistema
W = 3354.57 kmol/hD = 1145.43 kmol/h Puntos Linea de
R = L/D; L = R.D Rectificacion
L = -8.52 kmol/hG = L + D
G = 1136.91 kmol/h Linea de agotamiento
Puntos Linea de
1651.44 kmol/h Agotamiento
5006.01 kmol/h 3.031α 2.38
Nmin -3.01
3.031Eexp 55.56
Eteori 64.286Composicion del liquido, ya que la alimentacion es una mezcla Liq-Vap
Composicion del vapor, ya que la alimentacion es una mezcla Liq-Vap
Rreal = Superior a Rmin
TL =
TG =
HG - HL =
HG - HF =
q =
Rmin
yn+1 =xFF = xDD + xWW
= XDD + XWW
yn+1 =
G = F(q-1) + G
G =
F + L + G = G + L
L = ym+1 =
xL =
ym+1 =
X(XY) Y(T)XL 0.077 88.500 XAXF 0.400 88.500 0.4
0.400 80.500 0.60.613 80.500
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2
x y x0.5059 0.5059 0.50590.1700 0.5059 0.27950.1700 0.1700 0.27950.0190 0.1700 0.00000.0190 0.0190 0.0000
0.60000.60000.36500.36500.06500.0600
Curva de Calibración
X Prom
0.0000 1.333
0.0160 1.3352
0.0332 1.3374
0.0716 1.342
0.1168 1.3457
0.1707 1.351
0.2359 1.3544
0.3165 1.3564
0.4187 1.359
0.5525 1.3599
0.6011 1.3606
0.6547 1.3614
0.7141 1.3617
0.7802 1.3618
0.8543 1.3612
0.9380 1.3602
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
Linea Reflujo minimo
x + 0.7200 -0.2973611
Linea de Rectificacion-0.007434
0.5097
x y
0.5059 0.5059
0 0.510
Linea de agotamientox y
0.2195 0.2195
0.3145 0.5073 0
-0.446
y = 0,811x6 - 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 + 0,3415x - 4E-04
-0.446x y
0.5059 0.5059Composicion del liquido, ya que la alimentacion es una mezcla Liq-Vap 0.2644 0.5059
0.2644 0.0000Composicion del vapor, ya que la alimentacion es una mezcla Liq-Vap 0.0000 0.0000
0.0000 #DIV/0!#DIV/0! #DIV/0!
xn +
xm +
xm +
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
#DIV/0! #DIV/0!#DIV/0! #DIV/0!
YA #DIV/0! #DIV/0!0.613 2.375968992 #DIV/0! #DIV/0!0.387 #DIV/0! #DIV/0!
#DIV/0! #DIV/0!#DIV/0! #DIV/0!
y = 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 #DIV/0! #DIV/0!#DIV/0! #DIV/0!
y #DIV/0! #DIV/0!0.5059 #DIV/0! #DIV/0!0.5059 #DIV/0! #DIV/0!0.4014 #DIV/0! #DIV/0!0.4014 #DIV/0! #DIV/0!0.00000.00000.60000.60000.36500.36500.0000
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
y = 0,811x6 - 4,3616x5 + 6,9932x4 - 3,7759x3 + 0,9918x2 + 0,3415x - 4E-04
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.00.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
Sistema Etanol-Agua
x, Frac. mol de Etanol en el líquido
y, F
rac.
mo
l de
Eta
no
l en
el v
ap
or
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 170
75
80
85
90
95
100
105
YX
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.00001.315
1.32
1.325
1.33
1.335
1.34
1.345
1.35
1.355
1.36
1.365 Curva de Calibración
Prom
