3 Equilibrio L V

"Regla de las Fases" que relaciona la varianza (nmero de grados de libertad) para un sistema qumicamente no reactivo que se encuentra en equilibrio heterogneo, con el nmero de fases que coexisten y el nmero de componentes presentes.Equilibrio vapor - lquido de solucionesEl estudio del equilibrio vapor - lquido de soluciones hace referencia a las condiciones de equilibrio entre un vapor y el lquido en contacto con ste. F = C - P + 2

C = nmero de componentes del sistemaP = nmero de fases presentes en el equilibrioF = nmero de grados de libertadEl nmero de grados de libertad se define como el nmero de variables independientes que tienen que fijarse para definir por completo el sistema. Para estos sistemas se considerarn sus propiedades intensivas (temperatura, presin y concentracin).F = C - P + 2

Nmero de fases P = 2 (1 fase lquida y 1 fase vapor).Si los dos componentes lquidos son completamente miscibles, se tendr una sola fase lquida. Mezclas Binarias:

Constituida por n componentes, y bajo la suposicin de que los lquidos son completamente miscibles: Nmero de componentes: C = n Nmero de fases: P = 2Entonces el nmero de grados de libertad ser:

F = 2 - 2 + 2 = 2 grados de libertad. Mezclas Multicomponentes:Luego el nmero de grados de libertad ser:

F = n - 2 + 2 = n grados de libertad.

Diagramas de FasesMezclas binarias: Es posible representar grficamente el equilibrio entre las fases vapor - lquido, relacionando las variables temperatura, presin y concentracin; lo que requiere de un diagrama tridimensional.

Fijando una de las variables, la relacin entre las dos restantes se puede representar en un diagrama plano.TemperaturaPresin vs composicinPresinTemperatura vs composicin

Representacin de la temperatura de equilibrio (T) vs composicin, expresada en fraccin molar, en las fases lquido (x) y vapor (y), a presin constante,Diagrama Temperatura Composicin

Sistema metanol agua760 mm Hg

T Cxy100.00.000.00096.40.020.13493.50.040.23091.20.060.30489.30.080.36587.70.100.41884.40.150.51781.70.200.57978.00.300.66575.30.400.72973.10.500.77971.20.600.82569.30.700.87067.60.800.91566.00.900.95865.00.950.97964.51.001.000

Grfico1

10010096.487.77873.167.6

96.496.496.487.77873.167.6

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Ecuaciones

Clculo de Entalpas Molares

Lquido saturado o subenfriado

HL = CL . Mwprom (tL - tO) + DHs

HL =Entalpa molar de un lquido

CL =Capacidad calorfica de la solucin

CL debe evaluarse a la temperatura promedio entre tL y to.

Mwprom = Peso molecular promedio de la solucin

Mwprom = MwA . xA + MwB . xB

MwA = Peso molecular de A

MwB = Peso molecular de B

Cuando no se tiene informacin sobre CL, como una aproximacin se puede calcular CL . Mwprom

CL . Mwprom = CLA . MwA . xA + CLB . MwB . xB

CLA = Capacidad calorfica del componente A como lquido puro

CLB = Capacidad calorfica del componente B como lquido puro

CLA y CLB deben evaluarse a la temperatura promedio entre tL y to

tL =Temperatura de la solucin

Lquido saturadotL = Temperatura de burbuja

Lquido subenfriadotL < Temperatura de burbuja

to =Temperatura de referencia

DHs =Calor integral de solucin o calor de mezcla

La temperatura a la cual estn disponibles los datos de calor de mezcla debe utilizarse como temperatura de referencia

Vapor saturado o sobrecalentado

HV = yA [ CLA . MwA (tV - tO) + lA . MwA ] + yB [ CLB . MwB (tV - tO) + lB . MwB ]

HV =Entalpa molar de un vapor



CLA y CLB deben evaluarse a la temperatura promedio entre tG y to



lA = Calor latente de vaporizacin de A

lB = Calor latente de vaporizacin de B

Los calores latentes de vaporizacin deben evaluarse a tG

tV =Temperatura de la mezcla en fase vapor

Vapor saturadotG = Temperatura de roco

Vapor sobrecalentadotG > Temperatura de roco


Pgina &P

Ejemplo

Construccin de datos entalpa - concentracin para el sistema metanol ( A )- agua ( B ) a 1 atm.

1.- Obtener datos de equilibrio del sistema a 1 atmsfera de presin

Datos de equilibrio metanol - agua

xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5

2.- Obtener informacin de capacidades calorficas de solucin, calor latente de vaporizacin y calores de mezcla.

a) Capacidad calorfica de solucin

Como no se dispone de informacin para capacidad calorfica de soluciones de metanol y agua se utilizar la siguiente relacin:


CLi . Mwi =C1 + C2 . T + C3 . T2 + C4 . T3 + C5 . T4J/Kmol - KT = K

C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06

b) Calores latentes molares de vaporizacin

C2 + C3 . Tr + C4 . Tr2

li . Mwi =C1 (1 - Tr )J / Kmol

C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K

c) Calores de mezcla a 42.37 C

xBxAQ KJ/gmol ADHs KJ/Kmol mezcla

0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K

DHs =-67.45KJ / Kmol

CL debe evaluarse a tprom y en funcin de la concentracin. Como no se tiene datos de CL, se calcular como una aproximacin CL . Mwprom

CL . Mwprom = CLA . MwA xA + CLB . MwB . xB

CLA y CLB se calcularn a la tprom

tprom = ( tL+tO ) / 2 =326.835K

CLA . MwA =8.75987E+04J / Kmol - K =87.59868KJ / Kmol - K

CLB . MwB =7.52634E+04J / Kmol - K =75.26341KJ / Kmol - K

CL . Mwprom =86.98192KJ / Kmol - K

HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado

HV = y [ CLA . MwA (tv - tO) + lA . MwA ] + (1 - y) [ CLB . MwB (tv - tO) + lB . MwB ]

y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K



lA y lB se calcularn a tvTrA =0.6624TrB=0.5247

lA . MwA =3.51259E+07J / Kmol =3.51259E+04KJ / Kmol

lB . MwB =4.22766E+07J / Kmol =4.22766E+04KJ / Kmol

Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }

Hv =37577.6120KJ / KmolHv =16166.2870160926BTU/lb mol

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Calor de mezcla Metanol - Agua 42.37 C

Resultado

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Metanol - agua PT = 1 atm

Diagrama

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T CT KxCL . MwpromDHsHLyCLA MWACLB MWBlA MWAlB MWBHVT CxHL BTU/lbmolyHV BTU/lbmol

100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899

CLi . Mwi =C1 + C2 . T + C3 . T2 + C4 . T3 + C5 . T4J/Kmol - KC2 + C3 . Tr + C4 . Tr2

T = Kli . Mwi=C1 (1 - Tr )J / Kmol

C1C2C3C4C5C1C2C3C4Tc

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00Metanol5.2390E+070.368200512.64 K

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06Agua5.2053E+070.3199-0.2120.25795647.13 K

DHs =-6.348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229KJ/Kmol mezcla

to =42.37C

MwA =32.042kg / k molHL =KJ / Kmol

MwB =18.016kg / k molHV =KJ / Kmol

96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

0000000

0000000

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F0.4-842.5178F0.4-362.4225

Metanol - aguaPT = 1 atm

T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H

Diagrama Entalpa - Concentracin CH3OH - H2Oto = 42.37 C ( H KJ/Kmol)

00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899

Diagrama H-x-y metanol- agua BTU/lb mol

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Grfico2

100100607070

96.496.47070

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Lquido subenfriado

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


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Resultado

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100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

600.4

700.4

700

700.4

00000

0000

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

Lquido subenfriado

00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899


0

0

0

0

0

0

0

0

0

0

0

Grfico3

1001006075.375.3

96.496.475.375.3

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Lquido saturado o en su punto de burbuja

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


00

11

Pgina &P

Ejemplo

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


Resultado

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00


Diagrama

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

600.4

75.30.4

75.30

75.30.4

00000

0000

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

Lquido saturado o en su punto de burbuja

00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899


0

0

0

0

0

0

0

0

0

0

0

Grfico5

1001006088.288.2

96.496.488.288.2

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Vapor saturado o en su punto de roco

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


00

11

Pgina &P

Ejemplo

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


Resultado

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00


Diagrama

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

600.4

88.20.4

88.20

88.20.4

00000

0000

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

Vapor saturado o en su punto de roco

00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899


0

0

0

0

0

0

0

0

0

0

0

Grfico4

100100609595

96.496.49595

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Vapor sobrecalentado

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


00

11

Pgina &P

Ejemplo

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


Resultado

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00


Diagrama

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

600.4

950.4

950

950.4

00000

0000

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

Vapor sobrecalentado

00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899


0

0

0

0

0

0

0

0

0

0

0

Grfico6

1001006084.484.4

96.496.484.484.4

93.593.5

91.291.2

89.389.3

87.787.7

84.484.4

81.781.7

7878

75.375.3

73.173.1

71.271.2

69.369.3

67.667.6

6666

6565

64.564.5

Mezcla lquido + vapor

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


00

11

Pgina &P

Ejemplo

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


Resultado

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00


Diagrama

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



96.40.02T Cxy

96.40.134100.00.000.000

96.40.020.134

87.70.1093.50.040.230

87.70.41891.20.060.304

89.30.080.365

78.00.3087.70.100.418

78.00.66584.40.150.517

81.70.200.579

73.10.5078.00.300.665

73.10.77975.30.400.729

73.10.500.779

67.60.8071.20.600.825

67.60.91569.30.700.870

67.60.800.915

66.00.900.958

65.00.950.979

64.51.001.000

600.4

84.40.4

84.40

84.40.4

00000

0000

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

Mezcla lquido + vapor

00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

809.035420744116572.4838195734

797.345885478816423.2761497221

803.01855249116276.8300791381

820.303895988216138.1395656877

819.73989228616069.2382538783

833.30566380316004.123458899


0

0

0

0

0

0

0

0

0

0

0

xzFy y zF= ------ zF - x

T < TburbujaLquido sub-enfriado o por debajo del punto de burbujaT = TburbujaLquido saturado, en su punto de burbuja o en su punto de ebullicinT = TrocoVapor saturado o en su punto de rocioT > TrocoVapor sobrecalentadoTroco > T > TburbujaMezcla lquido + vapor

Diagrama de distribucin diagrama x-yRepresentacin de la composicin del vapor (y) frente a la composicin del lquido (x).

Grfico8

00

0.1341

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

x

y

Ecuaciones





































Pgina &P

Ejemplo




xyT

0.000.000100.0

0.020.13496.4

0.040.23093.5

0.060.30491.2

0.080.36589.3

0.100.41887.7

0.150.51784.4MwA =32.042lb / lb mol

0.200.57981.7

0.300.66578.0MwB =18.015lb / lb mol

0.400.72975.3

0.500.77973.1

0.600.82571.2

0.700.87069.3

0.800.91567.6

0.900.95866.0

0.950.97965.0

1.001.00064.5






C1C2C3C4C5

Metanol1.0580E+05-3.6223E+029.3791E-010.0000E+000.0000E+00

Agua2.7637E+05-2.0901E+038.1250E+00-1.4116E-029.3701E-06


C2 + C3 . Tr + C4 . Tr2


C1C2C3C4Tc

Metanol5.2390E+070.368200512.64 K

Agua5.2053E+070.3199-0.2120.25795647.13 K



0.001.000.00000.000

0.050.95-0.0710-67.450

0.100.90-0.1510-135.900

0.150.85-0.2510-213.350

0.200.80-0.3560-284.800

0.250.75-0.4730-354.750

0.300.70-0.5940-415.800

0.350.65-0.7240-470.600

0.400.60-0.8660-519.600

0.450.55-1.0130-557.150

0.500.50-1.1930-596.500

0.550.45-1.4020-630.900

0.600.40-1.6320-652.800

0.650.35-1.9080-667.800

0.700.30-2.2640-679.200

0.750.25-2.6910-672.750

0.800.20-3.1850-637.000

0.850.15-3.7250-558.750

0.900.10-4.3520-435.200

0.950.05-4.9970-249.850

1.000.000.00000.000

DHs =-6348.6164 x6 + 10345.5832 x5 + 5571.5608 x4 - 21789.6758 x3 + 18218.6411 x2 - 6002.3764 x + 2.6229

KJ/Kmol mezcla

Lquido saturado


x =0.95

tL =65 C = 338.15 K

to =42.37 C = 315.52 K





tprom = ( tL+tO ) / 2 =326.835K




HL =86.98192 * ( 65 - 42.37) - 67.45 =1900.9508KJ / Kmol

HL =817.8091952498BTU/lb mol

Vapor saturado


y =0.95000

tV =66.4 C = 339.55 K

to =42.37 C = 315.22 K


tprom =( tL + tO ) / 2 =327.535 K






Hv =0.95 { [ 87.77474*(66.4-42.37)]+[3.51259E+04] } + (1 - 0.95 { 75.26765*[66.4-42.37)]+[ 4.22766E+04] }


00

11

Pgina &P

Ejemplo

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


Resultado

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00

00


Diagrama

00

00

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0


100.0373.150.0075.445510.004347.92500.00092.2758075.4455132442.640940799.213545147.1385100.00.001870.32950841070.00019420.7639668166

96.4369.550.0275.74709-110.313982.30470.13491.7682275.4201332748.452140966.652044058.723396.40.021713.05207627480.13418952.5647510421

93.5366.650.0476.03921-209.703678.18340.23091.3637675.4006932991.283241099.845643277.837793.50.041582.22946190790.23018616.6543449571

91.2364.350.0676.32553-296.563430.41630.30491.0457875.3859433181.715041204.430742679.080291.20.061475.6484778220.30418359.0892056138

89.3362.450.0876.60706-371.863223.30560.36590.7849875.3742033337.625441290.135942188.758889.30.081386.5564909940.36518148.1696352338

87.7360.850.1076.88484-436.563048.62600.41890.5666675.3646433467.954641361.829441766.515887.70.101311.41526766520.41817966.5350249393

84.4357.550.1577.56201-557.822702.11090.51790.1201875.3458633734.042941508.332740976.850284.40.151162.35624949350.51717626.8477506137

81.7354.850.2078.21692-631.612444.66590.57989.7586875.3314833949.102941626.853340472.760081.70.201051.61216970040.57917410.0052989911

78.0351.150.3079.49991-681.092151.48950.66589.2688475.3132334240.071441787.342539782.481178.00.30925.49762299480.66517113.0707537242

75.3348.450.4080.74678-655.322003.67400.72988.9154475.3010134449.751741903.075639276.092375.30.40861.9124191350.72916895.2395178918

73.1346.250.5081.96089-595.291923.36840.77988.6300175.2917634618.997141996.530638882.447873.10.50827.36771189180.77916725.9070591207

71.2344.350.6083.14492-516.321880.75170.82588.3853375.2843034764.029542076.639038525.787371.20.60809.03542074410.82516572.4838195734

69.3342.450.7084.28284-416.161853.57720.87088.1423575.2773234908.031042156.195738178.926669.30.70797.34588547880.87016423.2761497221

67.6340.750.8085.39540-287.761866.76430.91587.9263775.2715135036.015942226.915637838.485867.60.80803.0185524910.91516276.8300791381

66.0339.150.9086.47855-136.541906.94730.95887.7243475.2664135155.743842293.080937516.074266.00.90820.30389598820.95816138.1395656877

65.0338.150.9586.98192-62.761905.63620.97987.5986875.2634135230.219942334.241637355.900465.00.95819.7398922860.97916069.2382538783

64.5337.651.0087.536030.001937.17231.00087.5360375.2619635267.356842354.766837204.529164.51.00833.3056638031.00016004.123458899







to =42.37C



00

11

F0.4-842.5178F0.4-362.4225


T Cxy

100.00.000.000

96.40.020.1348.7719298246

93.50.040.2305.2631578947

91.20.060.3044.0983606557

89.30.080.3653.5087719298

87.70.100.4183.1446540881

84.40.150.5172.7247956403

81.70.200.5792.6385224274

78.00.300.6652.7397260274

75.30.400.7293.0395136778

73.10.500.7793.5842293907

71.20.600.8254.4444444444

69.30.700.8705.8823529412

67.60.800.9158.6956521739

66.00.900.95817.2413793103

65.00.950.97934.4827586207

64.51.001.000

4347.925006650345147.13846937360

3982.304683017244058.7232627452

3678.183449895843277.8377299859

3430.41634583442679.0801821013

3223.305633160242188.7588401542

3048.62603661241766.5157751643

2702.110928091740976.8502173897

2444.665942218540472.7600484257

2151.489478468339782.4810741068

2003.673975011939276.0922943509

1923.36844820838882.4478436712

1880.751665041138525.7872997248

1853.577189919138178.9266230295

1866.764347928437838.4857918527

1906.947308685937516.0741799391

1905.636178326637355.9004056069

1937.172309766437204.5290862108

x , y

H


00

0.1340

0.23

0.304

0.365

0.418

0.517

0.579

0.665

0.729

0.779

0.825

0.87

0.915

0.958

0.979

1

1870.329508410719420.76396681660

1713.052076274818952.5647510421

1582.229461907918616.6543449571

1475.64847782218359.0892056138

1386.55649099418148.1696352338

1311.415267665217966.5350249393

1162.356249493517626.8477506137

1051.612169700417410.0052989911

925.497622994817113.0707537242

861.91241913516895.2395178918

827.367711891816725.9070591207

Documents

3 Equilibrio L V