metodologiadiseno

6
2 + 3 2 2 3 La `operación unitaria química´

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metodologiadiseno

Transcript of metodologiadiseno

  • La `operacin unitaria qumica

  • Metodologa general para el diseo de reactores qumicosEl modelo de diseo puede resumirse en un diagrama de flujo de informacin con las `relaciones de diseo fundamentales, junto a los diferentes tipos de `variables y los datos necesarios para la simulacin:El procedimiento ms general para el `clculo de los reactores qumicos, a partir de la resolucin simultnea de la cintica y los balances de materia y energa, consiste en representar v (Co,x,T) en forma de diagramas vxT (con v como parmetro y Co fijo); sobre dicho diagrama pueden trazarse las lneas de operacin del rgimen trmico T (To,x,q), y con la pauta de temperatura resultante se obtiene la relacin entre la velocidad y la conversin a lo largo de la reaccin v (Co,x).

    El tiempo de residencia (o la velocidad espacial) en el reactor se obtienen representando Co/v vs. x, y utilizando la ecuacin de diseo correspondiente (Co,x,v) (para el reactor discontinuo, un tanque continuo agitado, o uno de flujo tubular): (Co,x).

    Datos y variables fijas (f)

    Variables de estado (4)

    Variables de diseo (5-f)

    Ec. de diseo:

    v (Co,x,T)

    T (To,x,q)

    ( (Co,x,v)

    Vr = (Vo

  • Se desea llevar a cabo el proceso en disolucin acuosa diluida: A = R que se ajusta a una cintica reversible y exotrmica de primer orden: v = -CA/t = k1 CA - k2 CR k1 = 3,1107 e - 5850/T k2 = 1,71018e -14900/T

    Curvas isocinticas: x = [k1(T)-v/CoA]/[k1(T)+k2(T)]

    v = f (CoA, x, T)

    Modelo cinticoEjemplo:Hoja de clculo

  • La temperatura de la alimentacin es: To = 20C y se desea lograr una conversin en el reactor del 80%:T = To + (q -Hr x)/Cp,mrlHr = -20 kcal/molCp = 1 kcal/lC

    a) Reactor de mezcla completa:

    El punto final de operacin debecoincidir con el lugar geomtrico develocidades mximas: vmax

    b) Reactores de flujo de pistn:

    La lnea de operacin se obtienebuscando una velocidad media en elreactor (adiabtico) que haga mnimoel tiempo de residencia: min

    El calor intercambiado en cada caso se deduce del balance de energa:q = Hrx + Cp,mrl (T-To) a) q = +26,0 kcal/molA b) q = +34,0 kcal/molA

  • La relacin entre la velocidad y la conversin a lo largo del reactor viene dada por: v = CoA [ k1 (1-x) - k2 x ]

    A) Rgimen isotrmico (T = 62C)reactor de mezcla completa: = CoAx / v = 8,3 min

    B) Rgimen adiabtico (To = 54C) reactor de flujo de pistn: = CoA x / v = 2,6 minVo = 1 m3/minVr = 8,3 m3q = +26 Mcal/min 20C62Cx = 0,80x = 0,80Vo = 1 m3/min20C54C70Cq = +34 Mcal/min Vr = 2,6 m3

    Grfico2

    1.2376237624

    1.3097576948

    1.3908205841

    1.4825796887

    1.5873015873

    1.70794193

    1.8484288355

    2.0140986908

    2.2123893805

    2.4539877301

    2.7548209366

    3.1397174254

    3.6496350365

    4.3572984749

    5.4054054054

    7.1174377224

    10.4166666667

    CoA/v

    Conversin, x

    Rgimen isotrmico (T=62C).

    Hoja1

    Curvas isocinticas: x = [k1(T)-v/CoA]/[k1(T)+k2(T)]k1 = 3,11e7 exp( - 5850/T)

    k2 = 1,71e18exp(-14900/T)

    CoA = 1 mol/lVelocidad =1.000

    T (C)k1 (1/min)k2 (1/min)v (mol/lmin)x

    0.00.015310.000001.000-64.2912

    5.00.022510.000011.000-43.4017

    10.00.032650.000021.000-29.6059

    15.00.046750.000061.000-20.3665

    20.00.066110.000141.000-14.0956

    25.00.092420.000331.000-9.7851

    30.00.127780.000751.000-6.7861

    35.00.174820.001661.000-4.6758

    40.00.236790.003601.000-3.1749

    45.00.317670.007611.000-2.0976

    50.00.422330.015721.000-1.3187

    55.00.556620.031761.000-0.7536

    60.00.727550.062811.000-0.3447

    65.00.943470.121761.000-0.0531

    70.01.214220.231521.0000.1482

    75.01.551390.432171.0000.2780

    80.01.968480.792571.0000.3508

    85.02.481131.429101.0000.3788

    90.03.107432.535341.0000.3735

    95.03.868084.428361.0000.3457

    100.04.786757.620021.0000.3052

    Hoja1

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    v (mol/lmin)

    x

    Temperatura (C)

    Conversin, x

    v (mol/l.min).

    Hoja2

    T (C)v=0v=0,002v=0,005v=0,01v=0,02v=0,05v=0,1v=0,2v=0,5v=1v=2

    0.00.99980.86920.67330.3469-0.3060-2.2648-5.5293-12.0584-31.6457-64.2912-129.5822

    5.00.99960.91080.77760.55560.1116-1.2205-3.4405-7.8807-21.2010-43.4017-87.8030

    10.00.99930.93810.84630.69320.3872-0.5310-2.0612-5.1218-14.3033-29.6059-60.2112

    15.00.99880.95600.89190.78510.5715-0.0695-1.1378-3.2743-9.6839-20.3665-41.7318

    20.00.99790.96770.92240.84700.69600.2432-0.5115-2.0208-6.5488-14.0956-29.1890

    25.00.99650.97490.94260.88860.78080.4574-0.0817-1.1598-4.3943-9.7851-20.5666

    30.00.99420.97860.95530.91640.83860.60520.2161-0.5619-2.8960-6.7861-14.5664

    35.00.99060.97920.96220.93390.87730.70730.4239-0.1427-1.8426-4.6758-10.3421

    40.00.98500.97670.96420.94340.90180.77700.56900.1530-1.0950-3.1749-7.3349

    45.00.97660.97050.96120.94590.91510.82290.66920.3618-0.5605-2.0976-5.1718

    50.00.96410.95960.95270.94130.91850.85000.73580.5076-0.1773-1.3187-3.6015

    55.00.94600.94260.93750.92900.91200.86100.77610.60610.0962-0.7536-2.4531

    60.00.92050.91800.91420.90790.89520.85730.79400.66750.2879-0.3447-1.6099

    65.00.88570.88380.88100.87630.86690.83880.79180.69790.4163-0.0531-0.9918

    70.00.83990.83850.83640.83290.82600.80530.77070.70150.49400.1482-0.5435

    75.00.78210.78110.77960.77710.77200.75690.73170.68130.53010.2780-0.2262

    80.00.71290.71220.71110.70930.70570.69480.67670.64050.53190.3508-0.0114

    85.00.63450.63400.63320.63200.62940.62170.60890.58340.50670.37880.1230

    90.00.55070.55030.54980.54890.54710.54180.53300.51520.46210.37350.1963

    95.00.46620.46600.46560.46500.46380.46020.45420.44210.40600.34570.2252

    100.00.38580.38570.38540.38500.38420.38180.37780.36970.34550.30520.2246

    Hoja2

    00000000000

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    00000000000

    00000000000

    v=0

    v=0,002

    v=0,005

    v=0,01

    v=0,02

    v=0,05

    v=0,1

    v=0,2

    v=0,5

    v=1

    v=2

    Temperatura, C

    Conversin, x

    velocidad (mol/lmin)

    Hoja3

    isotrmico (T = 62C)adiabtico (To = 54C)

    xT (C)k1k2vCoA/vvCoA/v

    0.0054.00.52710.02760.80801.23760.52711.8973

    0.0555.00.55660.03180.76351.30980.52721.8968

    0.1056.00.58760.03650.71901.39080.52521.9040

    0.1557.00.62020.04180.67451.48260.52091.9199

    0.2058.00.65430.04790.63001.58730.51381.9461

    0.2559.00.69010.05490.58551.70790.50381.9848

    0.3060.00.72760.06280.54101.84840.49042.0390

    0.3561.00.76680.07180.49652.01410.47332.1128

    0.4062.00.80800.08200.45202.21240.45202.2125

    0.4563.00.85110.09370.40752.45400.42602.3476

    0.5064.00.89620.10680.36302.75480.39472.5336

    0.5565.00.94350.12180.31853.13970.35762.7965

    0.6066.00.99290.13870.27403.64960.31403.1852

    0.6567.01.04460.15780.22954.35730.26303.8019

    0.7068.01.09860.17950.18505.40540.20404.9025

    0.7569.01.15520.20390.14057.11740.13597.3606

    0.8070.01.21420.23150.096010.41670.057617.3534

    0.8571.01.27590.26270.051519.4175-0.0319-31.3553

    0.9072.01.34040.29780.0070142.8571-0.1340-7.4626

    0.9573.01.40770.3374-0.0375-26.6667-0.2502-3.9974

    1.0074.01.47800.3820-0.0820-12.1951-0.3820-2.6178

    Hoja3

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    CoA/v

    Conversin, x

    Rgimen isotrmico (T=62C).

    0

    0

    0

    0

    0

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    0

    0

    0

    0

    0

    0

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    0

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    0

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    CoA/v

    Conversin, x

    Rgimen adiabtico (To=54C).

    Grfico1

    1.897259534

    1.8968006762

    1.9039586971

    1.9198857794

    1.9461378886

    1.9848447331

    2.038975666

    2.1127710331

    2.2124726937

    2.347627128

    2.5335630312

    2.796496226

    3.185209515

    3.8018866717

    4.9025293945

    7.3605961443

    17.3533848981

    CoA/v

    Conversin, x

    Rgimen adiabtico (To=54C).

    Hoja1

    Curvas isocinticas: x = [k1(T)-v/CoA]/[k1(T)+k2(T)]k1 = 3,11e7 exp( - 5850/T)

    k2 = 1,71e18exp(-14900/T)

    CoA = 1 mol/lVelocidad =1.000

    T (C)k1 (1/min)k2 (1/min)v (mol/lmin)x

    0.00.015310.000001.000-64.2912

    5.00.022510.000011.000-43.4017

    10.00.032650.000021.000-29.6059

    15.00.046750.000061.000-20.3665

    20.00.066110.000141.000-14.0956

    25.00.092420.000331.000-9.7851

    30.00.127780.000751.000-6.7861

    35.00.174820.001661.000-4.6758

    40.00.236790.003601.000-3.1749

    45.00.317670.007611.000-2.0976

    50.00.422330.015721.000-1.3187

    55.00.556620.031761.000-0.7536

    60.00.727550.062811.000-0.3447

    65.00.943470.121761.000-0.0531

    70.01.214220.231521.0000.1482

    75.01.551390.432171.0000.2780

    80.01.968480.792571.0000.3508

    85.02.481131.429101.0000.3788

    90.03.107432.535341.0000.3735

    95.03.868084.428361.0000.3457

    100.04.786757.620021.0000.3052

    Hoja1

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    v (mol/lmin)

    x

    Temperatura (C)

    Conversin, x

    v (mol/l.min).

    Hoja2

    T (C)v=0v=0,002v=0,005v=0,01v=0,02v=0,05v=0,1v=0,2v=0,5v=1v=2

    0.00.99980.86920.67330.3469-0.3060-2.2648-5.5293-12.0584-31.6457-64.2912-129.5822

    5.00.99960.91080.77760.55560.1116-1.2205-3.4405-7.8807-21.2010-43.4017-87.8030

    10.00.99930.93810.84630.69320.3872-0.5310-2.0612-5.1218-14.3033-29.6059-60.2112

    15.00.99880.95600.89190.78510.5715-0.0695-1.1378-3.2743-9.6839-20.3665-41.7318

    20.00.99790.96770.92240.84700.69600.2432-0.5115-2.0208-6.5488-14.0956-29.1890

    25.00.99650.97490.94260.88860.78080.4574-0.0817-1.1598-4.3943-9.7851-20.5666

    30.00.99420.97860.95530.91640.83860.60520.2161-0.5619-2.8960-6.7861-14.5664

    35.00.99060.97920.96220.93390.87730.70730.4239-0.1427-1.8426-4.6758-10.3421

    40.00.98500.97670.96420.94340.90180.77700.56900.1530-1.0950-3.1749-7.3349

    45.00.97660.97050.96120.94590.91510.82290.66920.3618-0.5605-2.0976-5.1718

    50.00.96410.95960.95270.94130.91850.85000.73580.5076-0.1773-1.3187-3.6015

    55.00.94600.94260.93750.92900.91200.86100.77610.60610.0962-0.7536-2.4531

    60.00.92050.91800.91420.90790.89520.85730.79400.66750.2879-0.3447-1.6099

    65.00.88570.88380.88100.87630.86690.83880.79180.69790.4163-0.0531-0.9918

    70.00.83990.83850.83640.83290.82600.80530.77070.70150.49400.1482-0.5435

    75.00.78210.78110.77960.77710.77200.75690.73170.68130.53010.2780-0.2262

    80.00.71290.71220.71110.70930.70570.69480.67670.64050.53190.3508-0.0114

    85.00.63450.63400.63320.63200.62940.62170.60890.58340.50670.37880.1230

    90.00.55070.55030.54980.54890.54710.54180.53300.51520.46210.37350.1963

    95.00.46620.46600.46560.46500.46380.46020.45420.44210.40600.34570.2252

    100.00.38580.38570.38540.38500.38420.38180.37780.36970.34550.30520.2246

    Hoja2

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    v=0

    v=0,002

    v=0,005

    v=0,01

    v=0,02

    v=0,05

    v=0,1

    v=0,2

    v=0,5

    v=1

    v=2

    Temperatura, C

    Conversin, x

    velocidad (mol/lmin)

    Hoja3

    isotrmico (T = 62C)adiabtico (To = 54C)

    xT (C)k1k2vCoA/vvCoA/v

    0.0054.00.52710.02760.80801.23760.52711.8973

    0.0555.00.55660.03180.76351.30980.52721.8968

    0.1056.00.58760.03650.71901.39080.52521.9040

    0.1557.00.62020.04180.67451.48260.52091.9199

    0.2058.00.65430.04790.63001.58730.51381.9461

    0.2559.00.69010.05490.58551.70790.50381.9848

    0.3060.00.72760.06280.54101.84840.49042.0390

    0.3561.00.76680.07180.49652.01410.47332.1128

    0.4062.00.80800.08200.45202.21240.45202.2125

    0.4563.00.85110.09370.40752.45400.42602.3476

    0.5064.00.89620.10680.36302.75480.39472.5336

    0.5565.00.94350.12180.31853.13970.35762.7965

    0.6066.00.99290.13870.27403.64960.31403.1852

    0.6567.01.04460.15780.22954.35730.26303.8019

    0.7068.01.09860.17950.18505.40540.20404.9025

    0.7569.01.15520.20390.14057.11740.13597.3606

    0.8070.01.21420.23150.096010.41670.057617.3534

    0.8571.01.27590.26270.051519.4175-0.0319-31.3553

    0.9072.01.34040.29780.0070142.8571-0.1340-7.4626

    0.9573.01.40770.3374-0.0375-26.6667-0.2502-3.9974

    1.0074.01.47800.3820-0.0820-12.1951-0.3820-2.6178

    Hoja3

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    CoA/v

    Conversin, x

    Rgimen isotrmico (T=62C).

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    CoA/v

    Conversin, x

    Rgimen adiabtico (To=54C).

  • Anlisis de la estabilidad del `reactor de mezcla completa no isotrmicoUna vez dimensionado el reactor, los puntos de estado estacionario resultan de los balances:

    (1) v (x,T) = CoA x / (2) x = Cp,mrl (T-To) / (q/xf -Hr)

    con: CoA = 1 mol/l, = 8,3 min y q = 26 kcal/molA

    Puede observarse que el rgimen estacionario es estable en estas condiciones operativas

    Reactor de flujo de pistn `con recirculacin: = (R+1) x/v xo = Rxf /(R+1)

    Permite un mejor control del proceso, a costa de mayor trasiego, energa y tamao del reactor20C62C62Cxf = 0,80Vo = 1 m3/minVr =3,5 m3q = +42 Mcal/min qr = -16 Mcal/min R=1Xo=0,40

    Grfico2

    0.0228257269-20

    0.0352750712-15

    0.0532722384-10

    0.0785209173-5

    0.11276077640

    0.15742854985

    0.21318764710

    0.279443009315

    0.35405186780

    0.43343819130.0952380952

    0.51315476780.1904761905

    0.58868763820.2857142857

    0.65615608150.380952381

    0.7126464570.4761904762

    0.75614605720.5714285714

    0.78523551620.6666666667

    0.79876382770.7619047619

    0.79569666420.8571428571

    0.77525271620.9523809524

    0.73733764575

    0.683135724680

    0.6155559185

    0.539179735390

    0.459559973395

    0.3821068855100

    x (1)

    x (2)

    Temperatura, T(C)

    Conversin, x

    Balances de materia (1) y energa (2)

    Hoja1

    Curvas isocinticas: x = [k1(T)-v/CoA]/[k1(T)+k2(T)]k1 = 3,11e7 exp( - 5850/T)

    k2 = 1,71e18exp(-14900/T)

    CoA = 1 mol/lVelocidad =1.000

    T (C)k1 (1/min)k2 (1/min)v (mol/lmin)x

    0.00.015310.000001.000-64.2912

    5.00.022510.000011.000-43.4017

    10.00.032650.000021.000-29.6059

    15.00.046750.000061.000-20.3665

    20.00.066110.000141.000-14.0956

    25.00.092420.000331.000-9.7851

    30.00.127780.000751.000-6.7861

    35.00.174820.001661.000-4.6758

    40.00.236790.003601.000-3.1749

    45.00.317670.007611.000-2.0976

    50.00.422330.015721.000-1.3187

    55.00.556620.031761.000-0.7536

    60.00.727550.062811.000-0.3447

    65.00.943470.121761.000-0.0531

    70.01.214220.231521.0000.1482

    75.01.551390.432171.0000.2780

    80.01.968480.792571.0000.3508

    85.02.481131.429101.0000.3788

    90.03.107432.535341.0000.3735

    95.03.868084.428361.0000.3457

    100.04.786757.620021.0000.3052

    Hoja1

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    v (mol/lmin)

    x

    Temperatura (C)

    Conversin, x

    v (mol/l.min).

    Hoja2

    T (C)v=0v=0,002v=0,005v=0,01v=0,02v=0,05v=0,1v=0,2v=0,5v=1v=2

    0.00.99980.86920.67330.3469-0.3060-2.2648-5.5293-12.0584-31.6457-64.2912-129.5822

    5.00.99960.91080.77760.55560.1116-1.2205-3.4405-7.8807-21.2010-43.4017-87.8030

    10.00.99930.93810.84630.69320.3872-0.5310-2.0612-5.1218-14.3033-29.6059-60.2112

    15.00.99880.95600.89190.78510.5715-0.0695-1.1378-3.2743-9.6839-20.3665-41.7318

    20.00.99790.96770.92240.84700.69600.2432-0.5115-2.0208-6.5488-14.0956-29.1890

    25.00.99650.97490.94260.88860.78080.4574-0.0817-1.1598-4.3943-9.7851-20.5666

    30.00.99420.97860.95530.91640.83860.60520.2161-0.5619-2.8960-6.7861-14.5664

    35.00.99060.97920.96220.93390.87730.70730.4239-0.1427-1.8426-4.6758-10.3421

    40.00.98500.97670.96420.94340.90180.77700.56900.1530-1.0950-3.1749-7.3349

    45.00.97660.97050.96120.94590.91510.82290.66920.3618-0.5605-2.0976-5.1718

    50.00.96410.95960.95270.94130.91850.85000.73580.5076-0.1773-1.3187-3.6015

    55.00.94600.94260.93750.92900.91200.86100.77610.60610.0962-0.7536-2.4531

    60.00.92050.91800.91420.90790.89520.85730.79400.66750.2879-0.3447-1.6099

    65.00.88570.88380.88100.87630.86690.83880.79180.69790.4163-0.0531-0.9918

    70.00.83990.83850.83640.83290.82600.80530.77070.70150.49400.1482-0.5435

    75.00.78210.78110.77960.77710.77200.75690.73170.68130.53010.2780-0.2262

    80.00.71290.71220.71110.70930.70570.69480.67670.64050.53190.3508-0.0114

    85.00.63450.63400.63320.63200.62940.62170.60890.58340.50670.37880.1230

    90.00.55070.55030.54980.54890.54710.54180.53300.51520.46210.37350.1963

    95.00.46620.46600.46560.46500.46380.46020.45420.44210.40600.34570.2252

    100.00.38580.38570.38540.38500.38420.38180.37780.36970.34550.30520.2246

    Hoja2

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    v=0

    v=0,002

    v=0,005

    v=0,01

    v=0,02

    v=0,05

    v=0,1

    v=0,2

    v=0,5

    v=1

    v=2

    Temperatura, C

    Conversin, x

    velocidad (mol/lmin)

    Hoja3

    isotrmico (T = 62C)adiabtico (To = 54C)

    xT (C)k1k2vCoA/vtvCoA/vt

    0.0054.00.52710.02760.80801.23760.0640.52711.89730.095

    0.0555.00.55660.03180.76351.30980.0680.52721.89680.095

    0.1056.00.58760.03650.71901.39080.0720.52521.90400.096

    0.1557.00.62020.04180.67451.48260.0770.52091.91990.097

    0.2058.00.65430.04790.63001.58730.0820.51381.94610.098

    0.2559.00.69010.05490.58551.70790.0890.50381.98480.101

    0.3060.00.72760.06280.54101.84840.0970.49042.03900.104

    0.3561.00.76680.07180.49652.01410.1060.47332.11280.108

    0.4062.00.80800.08200.45202.21240.1170.45202.21250.114

    0.4563.00.85110.09370.40752.45400.1300.42602.34760.122

    0.5064.00.89620.10680.36302.75480.1470.39472.53360.133

    0.5565.00.94350.12180.31853.13970.1700.35762.79650.150

    0.6066.00.99290.13870.27403.64960.2000.31403.18520.175

    0.6567.01.04460.15780.22954.35730.2440.26303.80190.218

    0.7068.01.09860.17950.18505.40540.3130.20404.90250.307

    0.7569.01.15520.20390.14057.11740.4380.13597.36060.618

    0.8070.01.21420.23150.096010.41672.4130.057617.35342.628

    0.8571.01.27590.26270.051519.4175-0.0319-31.3553

    0.9072.01.34040.29780.0070142.8571-0.1340-7.4626

    0.9573.01.40770.3374-0.0375-26.6667-0.2502-3.9974

    1.0074.01.47800.3820-0.0820-12.1951-0.3820-2.6178

    Hoja3

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    CoA/v

    Conversin, x

    Rgimen isotrmico (T = 62C).

    Hoja4

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    CoA/v

    Conversin, x

    Rgimen adiabtico (To = 54C).

    Anlisis de estabilidad: reactor de mezcla completa (t = 8,3 min)

    Conversin, x =0.80

    q (kcal/molA) =26.0

    T(C)k1k2x (1)x (2)

    -20.00.00281430.000000050.0228Balance de materia: v(x,T) = Cox(1)/t

    -15.00.00440540.000000140.0353Balance de energa: x(2) = Cp(T-To)/(q/x-DHr)

    -10.00.00677950.000000420.0533

    -5.00.01026660.000001220.0785

    0.00.01531270.000003370.1128

    5.00.02251290.000008980.1574

    10.00.03265100.000023160.2132

    15.00.04674710.000057780.2794

    20.00.06611410.000139690.35410

    25.00.09242340.000327890.43340.0952

    30.00.12778160.000748260.51320.1905

    35.00.17481820.001662450.58870.2857

    40.00.23678610.003600530.65620.3810

    45.00.31767430.007610810.71260.4762

    50.00.42233460.015719220.75610.5714

    55.00.55662250.031756140.78520.6667

    60.00.72755200.062813530.79880.7619

    65.00.94346640.121762810.79570.8571

    70.01.21422280.231523640.77530.9524

    75.01.55139250.432171820.7373

    80.01.96847630.792572100.6831

    85.02.48113381.429104740.6156

    90.03.10742772.535340550.5392

    95.03.86808144.428360790.4596

    100.04.78674987.620021780.3821

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    x (1)

    x (2)

    Temperatura, T(C)

    Conversin, x

    Balances de materia (1) y energa (2)

    Grfico2

    1.2376237624

    1.3097576948

    1.3908205841

    1.4825796887

    1.5873015873

    1.70794193

    1.8484288355

    2.0140986908

    2.2123893805

    2.4539877301

    2.7548209366

    3.1397174254

    3.6496350365

    4.3572984749

    5.4054054054

    7.1174377224

    10.4166666667

    CoA/v

    Conversin, x

    Rgimen isotrmico (T=62C).

    Hoja1

    Curvas isocinticas: x = [k1(T)-v/CoA]/[k1(T)+k2(T)]k1 = 3,11e7 exp( - 5850/T)

    k2 = 1,71e18exp(-14900/T)

    CoA = 1 mol/lVelocidad =1.000

    T (C)k1 (1/min)k2 (1/min)v (mol/lmin)x

    0.00.015310.000001.000-64.2912

    5.00.022510.000011.000-43.4017

    10.00.032650.000021.000-29.6059

    15.00.046750.000061.000-20.3665

    20.00.066110.000141.000-14.0956

    25.00.092420.000331.000-9.7851

    30.00.127780.000751.000-6.7861

    35.00.174820.001661.000-4.6758

    40.00.236790.003601.000-3.1749

    45.00.317670.007611.000-2.0976

    50.00.422330.015721.000-1.3187

    55.00.556620.031761.000-0.7536

    60.00.727550.062811.000-0.3447

    65.00.943470.121761.000-0.0531

    70.01.214220.231521.0000.1482

    75.01.551390.432171.0000.2780

    80.01.968480.792571.0000.3508

    85.02.481131.429101.0000.3788

    90.03.107432.535341.0000.3735

    95.03.868084.428361.0000.3457

    100.04.786757.620021.0000.3052

    Hoja1

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    00

    v (mol/lmin)

    x

    Temperatura (C)

    Conversin, x

    v (mol/l.min).

    Hoja2

    T (C)v=0v=0,002v=0,005v=0,01v=0,02v=0,05v=0,1v=0,2v=0,5v=1v=2

    0.00.99980.86920.67330.3469-0.3060-2.2648-5.5293-12.0584-31.6457-64.2912-129.5822

    5.00.99960.91080.77760.55560.1116-1.2205-3.4405-7.8807-21.2010-43.4017-87.8030

    10.00.99930.93810.84630.69320.3872-0.5310-2.0612-5.1218-14.3033-29.6059-60.2112

    15.00.99880.95600.89190.78510.5715-0.0695-1.1378-3.2743-9.6839-20.3665-41.7318

    20.00.99790.96770.92240.84700.69600.2432-0.5115-2.0208-6.5488-14.0956-29.1890

    25.00.99650.97490.94260.88860.78080.4574-0.0817-1.1598-4.3943-9.7851-20.5666

    30.00.99420.97860.95530.91640.83860.60520.2161-0.5619-2.8960-6.7861-14.5664

    35.00.99060.97920.96220.93390.87730.70730.4239-0.1427-1.8426-4.6758-10.3421

    40.00.98500.97670.96420.94340.90180.77700.56900.1530-1.0950-3.1749-7.3349

    45.00.97660.97050.96120.94590.91510.82290.66920.3618-0.5605-2.0976-5.1718

    50.00.96410.95960.95270.94130.91850.85000.73580.5076-0.1773-1.3187-3.6015

    55.00.94600.94260.93750.92900.91200.86100.77610.60610.0962-0.7536-2.4531

    60.00.92050.91800.91420.90790.89520.85730.79400.66750.2879-0.3447-1.6099

    65.00.88570.88380.88100.87630.86690.83880.79180.69790.4163-0.0531-0.9918

    70.00.83990.83850.83640.83290.82600.80530.77070.70150.49400.1482-0.5435

    75.00.78210.78110.77960.77710.77200.75690.73170.68130.53010.2780-0.2262

    80.00.71290.71220.71110.70930.70570.69480.67670.64050.53190.3508-0.0114

    85.00.63450.63400.63320.63200.62940.62170.60890.58340.50670.37880.1230

    90.00.55070.55030.54980.54890.54710.54180.53300.51520.46210.37350.1963

    95.00.46620.46600.46560.46500.46380.46020.45420.44210.40600.34570.2252

    100.00.38580.38570.38540.38500.38420.38180.37780.36970.34550.30520.2246

    Hoja2

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    00000000000

    v=0

    v=0,002

    v=0,005

    v=0,01

    v=0,02

    v=0,05

    v=0,1

    v=0,2

    v=0,5

    v=1

    v=2

    Temperatura, C

    Conversin, x

    velocidad (mol/lmin)

    Hoja3

    isotrmico (T = 62C)adiabtico (To = 54C)

    xT (C)k1k2vCoA/vvCoA/v

    0.0054.00.52710.02760.80801.23760.52711.8973

    0.0555.00.55660.03180.76351.30980.52721.8968

    0.1056.00.58760.03650.71901.39080.52521.9040

    0.1557.00.62020.04180.67451.48260.52091.9199

    0.2058.00.65430.04790.63001.58730.51381.9461

    0.2559.00.69010.05490.58551.70790.50381.9848

    0.3060.00.72760.06280.54101.84840.49042.0390

    0.3561.00.76680.07180.49652.01410.47332.1128

    0.4062.00.80800.08200.45202.21240.45202.2125

    0.4563.00.85110.09370.40752.45400.42602.3476

    0.5064.00.89620.10680.36302.75480.39472.5336

    0.5565.00.94350.12180.31853.13970.35762.7965

    0.6066.00.99290.13870.27403.64960.31403.1852

    0.6567.01.04460.15780.22954.35730.26303.8019

    0.7068.01.09860.17950.18505.40540.20404.9025

    0.7569.01.15520.20390.14057.11740.13597.3606

    0.8070.01.21420.23150.096010.41670.057617.3534

    0.8571.01.27590.26270.051519.4175-0.0319-31.3553

    0.9072.01.34040.29780.0070142.8571-0.1340-7.4626

    0.9573.01.40770.3374-0.0375-26.6667-0.2502-3.9974

    1.0074.01.47800.3820-0.0820-12.1951-0.3820-2.6178

    Hoja3

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    CoA/v

    Conversin, x

    Rgimen isotrmico (T=62C).

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    CoA/v

    Conversin, x

    Rgimen adiabtico (To=54C).