Destilacion_EtOH+H2O_Multietapa_2 (3)

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Temperatura Frac. Masa Etanol Temperatura Frac. Masa °C °F °C °F Líquido Vapor Líquido 100.00 212.00 0.0000 0.0000 100.00 212.00 0.0000 180.10 1150.00 418.90 98.10 208.58 0.0200 0.1920 91.80 197.24 0.1000 159.80 1082.00 371.68 95.20 203.36 0.0500 0.3770 84.70 184.46 0.3000 135.00 943.00 314.00 91.80 197.24 0.1000 0.5270 82.00 179.60 0.5000 122.90 804.00 285.86 87.30 189.14 0.2000 0.6560 80.10 176.18 0.7000 111.10 664.00 258.41 84.70 184.46 0.3000 0.7130 78.30 172.94 0.9000 96.60 526.00 224.68 83.20 181.76 0.4000 0.7460 78.30 172.94 1.0000 89.00 457.50 207.01 82.00 179.60 0.5000 0.7710 81.00 177.80 0.6000 0.7940 80.10 176.18 0.7000 0.8220 x y 79.10 174.38 0.8000 0.8580 0.0000 0.0000 78.30 172.94 0.9000 0.9120 1.0000 1.0000 78.20 172.76 0.9400 0.9420 78.10 172.58 0.9600 0.9590 Entalpía (BTU/lbm) Entalpí wL wV

description

destilación alcohol agua

Transcript of Destilacion_EtOH+H2O_Multietapa_2 (3)

Datos-Equilibrio

TemperaturaFrac. Masa EtanolTemperaturaFrac. MasaEntalpa (BTU/lbm)Entalpa (kJ/kg)CFwL wV CFLquidoVaporLquidoVapor100.00212.000.00000.0000100.00212.000.0000180.101150.00418.902674.8298.10208.580.02000.192091.80197.240.1000159.801082.00371.682516.6695.20203.360.05000.377084.70184.460.3000135.00943.00314.002193.3591.80197.240.10000.527082.00179.600.5000122.90804.00285.861870.0587.30189.140.20000.656080.10176.180.7000111.10664.00258.411544.4284.70184.460.30000.713078.30172.940.900096.60526.00224.681223.4483.20181.760.40000.746078.30172.941.000089.00457.50207.011064.1182.00179.600.50000.771081.00177.800.60000.794080.10176.180.70000.8220xy79.10174.380.80000.85800.00000.000078.30172.940.90000.91201.00001.000078.20172.760.94000.942078.10172.580.96000.959078.20172.760.98000.978078.30172.941.00001.0000

TemperaturaFrac. Mol EtanolCFxy100.00212.000.00000.000098.10208.580.04960.377895.20203.360.11860.607391.80197.240.22120.740187.30189.140.38980.829784.70184.460.52270.863983.20181.760.63010.882482.00179.600.71880.895981.00177.800.79310.907880.10176.180.85640.921979.10174.380.91090.939278.30172.940.95830.963678.20172.760.97560.976578.10172.580.98400.983578.20172.760.99210.991378.30172.941.00001.0000

Diagr-Ebulli

C.Eq. Masa

Dtl_ME_1RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.2500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =40.00 CD* =24.69 kgmol/hyV =0.8600 Kg mol EtOH/kg mol totyD =0.8600frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =3.00PD =101.33 kPaCp*F,prom =20.84 Kcal/ kg mol KH*D =12385.08 Kcal/Kg molDH*Vap =10246.02 Kcal/ kg mol(1- yD) =0.14000frac mol aguaD* yD =21.23kgmol EtOH/hAlimentacin D*(1-yD) =3.46kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.28Kcal/Kg mol K28.7779921.665xF =0.2500frac mol EtOHDH*Vap =9990.15Kcal/Kg mol18.06510410.868TF =40.00 CL* =74.07Kcal/Kg mol KPF =101.33 kPaH*F =805.12 Kcal/Kg molD* H*D =305804.39 Kcal/h(1- xF) =0.7500frac mol aguaF* xF =25.00kgmol EtOH/hF* (1-xF) =75.00kgmol agua/hCp*F =20.13Kcal/Kg mol K26.47918.011FondoF* H*F =80511.93 Kcal/hL* =75.31 kgmol/hxL =0.0500frac mol EtOHTL =87.80 CQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa368684.29H*L =1633.16 Kcal/Kg mol(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =3.77kgmol EtOH/h1. Clculo del valor TB :90.80 CL* (1-xL) =71.54kgmol agua/h2. Clculo del valor H*F,Lsat:1827.621 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.121 Adimens.4. Pendiente de q :9.233 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.75006. Interc. de L.Op. Enriquec.:0.2150

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.8600.8600.2000.365

Eje XEje Y8. Trazado de Linea "q" :0.2500.2500.2750.481

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.26800.4160

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.2680.416

Eje XEje Y10. Trazado de las etapas :0.8600.8600.5080.8600.5080.5950.1140.5950.1140.1590.0200.1590.0200.020

11. Clculo del V* y de L* :24.691 kgmol/h75.309 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.2102.39429.13918.0727.0277.8179861.82810374.085

C.Eq. Mol_1

Dtl_ME_2RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =60.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =3.00PD =101.33 kPaCp*F,prom =19.73 Kcal/ kg mol KH*D =12403.13 Kcal/Kg molDH*Vap =10297.25 Kcal/ kg mol(1- yD) =0.10000frac mol aguaD* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.71Kcal/Kg mol K28.7779921.665xF =0.1500frac mol EtOHDH*Vap =9970.59Kcal/Kg mol18.06510410.868TF =60.00 CL* =35.29Kcal/Kg mol KPF =101.33 kPaH*F =1156.87 Kcal/Kg molD* H*D =145919.15 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.28Kcal/Kg mol K26.47918.011FondoTB,F = 94.05 CL* =88.24 kgmol/hF* H*F =115687.09 Kcal/hxL =0.0500frac mol EtOHTL =87.80 CQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa173623.89H*L =1633.16 Kcal/Kg mol(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =4.41kgmol EtOH/h1. Clculo del valor TB :90.80 CL* (1-xL) =83.82kgmol agua/h2. Clculo del valor H*F,Lsat:1750.731 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.069 Adimens.4. Pendiente de q :15.391 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.75006. Interc. de L.Op. Enriquec.:0.2250

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.9000.9000.1000.300

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1650.381

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.16280.3471

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1630.347

Eje XEje Y10. Trazado de las etapas :0.9000.9000.7400.9000.7400.7780.2800.7780.2800.4350.0620.4350.0620.0800.0100.0800.0100.010

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.2102.39429.13918.0727.0277.8179861.82810374.085

C.Eq. Mol_2

Dtl_ME_3RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =90.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =3.00PD =101.33 kPaCp*F,prom =19.79 Kcal/ kg mol KH*D =12403.13 Kcal/Kg molDH*Vap =10297.25 Kcal/ kg mol(1- yD) =0.10000frac mol agua9861.82810374.085D* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.71Kcal/Kg mol K28.7779921.665xF =0.1500frac mol EtOHDH*Vap =9970.59Kcal/Kg mol18.06510410.868TF =90.00 CL* =35.29Kcal/Kg mol KPF =101.33 kPaH*F =1772.26 Kcal/Kg molD* H*D =145919.15 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.69Kcal/Kg mol K28.89518.068FondoL* =88.24 kgmol/hTB,F = 94.05 CxL =0.0500frac mol EtOHF* H*F =177226.45 Kcal/hTL =87.80 CCp*F,TB =19.73Kcal/Kg mol KQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa29.139112084.52H*L =1633.16 Kcal/Kg mol18.072(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =4.41kgmol EtOH/h1. Clculo del valor TB :94.05 CL* (1-xL) =83.82kgmol agua/h2. Clculo del valor H*F,Lsat:1973.215 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.02414 Adimens.4. Pendiente de q :42.423 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.75006. Interc. de L.Op. Enriquec.:0.2250

y*xF =0.0507

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.9000.9000.1000.300

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1550.362

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.15450.3409

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1540.341

Eje XEje Y10. Trazado de las etapas :0.90000.90000.74500.90000.74500.78500.29350.78500.29350.44700.06500.44700.06500.09400.01150.09400.01150.0100

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.21096.00195.91988.0402.22535.23518.1836.8277.9588874.6309769.92698.00210.13794.7192.21935.57618.1876.8187.9648829.1739743.523100.00225.190101.8172.21235.92318.1916.8087.9708783.3239717.0002.38429.51818.0797.0157.8269801.07610336.991

C.Eq. Mol_3

Dtl_ME_4RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =90.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =2.00PD =101.33 kPaCp*F,prom =19.79 Kcal/ kg mol KH*D =12403.13 Kcal/Kg molDH*Vap =10297.25 Kcal/ kg mol(1- yD) =0.10000frac mol agua9861.82810374.085D* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.71Kcal/Kg mol K28.7779921.665xF =0.1500frac mol EtOHDH*Vap =9970.59Kcal/Kg mol18.06510410.868TF =90.00 CL* =23.53Kcal/Kg mol KPF =101.33 kPaH*F =1772.26 Kcal/Kg molD* H*D =145919.15 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.69Kcal/Kg mol K28.89518.068FondoL* =88.24 kgmol/hTB,F = 94.05 CxL =0.0500frac mol EtOHF* H*F =177226.45 Kcal/hTL =87.80 CCp*F,TB =19.73Kcal/Kg mol KQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa29.139112084.52H*L =1633.16 Kcal/Kg mol18.072(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =4.41kgmol EtOH/h1. Clculo del valor TB :94.05 CL* (1-xL) =83.82kgmol agua/h2. Clculo del valor H*F,Lsat:1973.215 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.02414 Adimens.4. Pendiente de q :42.423 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.66676. Interc. de L.Op. Enriquec.:0.3000

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.9000.9000.1000.367

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1600.574

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.15600.4040

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1560.404

Eje XEje Y10. Trazado de las etapas :0.90000.90000.74500.90000.74500.79600.31500.79600.31500.51000.08100.51000.08100.15400.01800.15400.01800.0100

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.21096.00195.91988.0402.22535.23518.1836.8277.9588874.6309769.92698.00210.13794.7192.21935.57618.1876.8187.9648829.1739743.523100.00225.190101.8172.21235.92318.1916.8087.9708783.3239717.0002.38429.51818.0797.0157.8269801.07610336.991

Dtl_ME_3

C.Eq. Mol_4

Dtl_ME_5RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =90.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =1.00PD =101.33 kPaCp*F,prom =19.79 Kcal/ kg mol KH*D =12403.13 Kcal/Kg molDH*Vap =10297.25 Kcal/ kg mol(1- yD) =0.10000frac mol agua9861.82810374.085D* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.71Kcal/Kg mol K28.7779921.665xF =0.1500frac mol EtOHDH*Vap =9970.59Kcal/Kg mol18.06510410.868TF =90.00 CL* =11.76Kcal/Kg mol KPF =101.33 kPaH*F =1772.26 Kcal/Kg molD* H*D =145919.15 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.69Kcal/Kg mol K28.89518.068FondoL* =88.24 kgmol/hTB,F = 94.05 CxL =0.0500frac mol EtOHF* H*F =177226.45 Kcal/hTL =87.80 CCp*F,TB =19.73Kcal/Kg mol KQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa29.139112084.52H*L =1633.16 Kcal/Kg mol18.072(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =4.41kgmol EtOH/h1. Clculo del valor TB :94.05 CL* (1-xL) =83.82kgmol agua/h2. Clculo del valor H*F,Lsat:1973.215 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.02414 Adimens.4. Pendiente de q :42.423 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.50006. Interc. de L.Op. Enriquec.:0.4500

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.9000.9000.1000.500

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1600.574

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.15890.5295

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1590.529

Eje XEje Y10. Trazado de las etapas :0.90000.90000.74500.90000.74500.82300.37500.82300.37500.63800.13450.63800.13450.42000.06000.42000.06000.09500.01200.09500.01200.0000

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.21096.00195.91988.0402.22535.23518.1836.8277.9588874.6309769.92698.00210.13794.7192.21935.57618.1876.8187.9648829.1739743.523100.00225.190101.8172.21235.92318.1916.8087.9708783.3239717.0002.38429.51818.0797.0157.8269801.07610336.991

Dtl_ME_3

C.Eq. Mol_5

Dtl_ME_6RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =90.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =0.5000PD =101.33 kPaCp*F,prom =19.79 Kcal/ kg mol KH*D =12403.13 Kcal/Kg molDH*Vap =10297.25 Kcal/ kg mol(1- yD) =0.10000frac mol agua9861.82810374.085D* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.71Kcal/Kg mol K28.7779921.665xF =0.1500frac mol EtOHDH*Vap =9970.59Kcal/Kg mol18.06510410.868TF =90.00 CL* =5.88Kcal/Kg mol KPF =101.33 kPaH*F =1772.26 Kcal/Kg molD* H*D =145919.15 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.69Kcal/Kg mol K28.89518.068FondoL* =88.24 kgmol/hTB,F = 94.05 CxL =0.0500frac mol EtOHF* H*F =177226.45 Kcal/hTL =87.80 CCp*F,TB =19.73Kcal/Kg mol KQ = -F* H*F + L* H*L + V* H*V PL =101.33 kPa29.139112084.52H*L =1633.16 Kcal/Kg mol18.072(1- xL) =0.95000frac mol aguaSOLUCION DEL PROBLEMAL* xL =4.41kgmol EtOH/h1. Clculo del valor TB :94.05 CL* (1-xL) =83.82kgmol agua/h2. Clculo del valor H*F,Lsat:1973.215 Kcal/kg molCp*L =18.60Kcal/Kg mol K3. Clculo del valor q :1.02414 Adimens.4. Pendiente de q :42.423 Adimens.L* H*L =143391.83 Kcal/h5. Pendiente de L.Op. Enriquec.:0.33336. Interc. de L.Op. Enriquec.:0.6000

Eje XEje Y7. Trazado de L.Op. Enriquec.:0.9000.9000.1000.633

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1630.680

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.16190.6540

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1620.654

Eje XEje Y10. Trazado de las etapas :0.90000.90000.74500.90000.74500.84800.44500.84800.44500.74800.23000.74800.23000.67600.15700.67600.15700.62500.12700.62500.12700.46500.06900.46500.06900.15000.01700.15000.01700.0000

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h.

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aCpEtOH (l)CpH2O (l) CpEtOH (v)CpH2O (v) DHVap,EtOHDHVap,H2O0.001.5450.6092.53725.37817.9657.1837.68210714.86610918.8972.001.7830.7042.53325.45317.9707.1787.68810681.71710896.973Constantes de Antoine (T C, P mmHg)4.002.0520.8112.52925.53417.9747.1737.69310648.39510874.975P = 10^(A- (B/(C+T)))6.002.3560.9332.52425.62017.9797.1687.69910614.89910852.903CompuestoABC8.002.6981.0712.52025.71117.9847.1627.70510581.22610830.755Etanol8.044941554.3222.6510.003.0831.2262.51525.80817.9887.1577.71110547.37310808.532Agua8.107651750.28623512.003.5151.4012.50925.91117.9937.1517.71610513.33810786.23314.003.9991.5972.50426.01917.9977.1457.72210479.11810763.85616.004.5391.8172.49826.13318.0027.1397.72810444.71210741.402Constantes de Cp (liq) (T K)18.005.1412.0632.49326.25218.0067.1337.73410410.11510718.869(Cp/R) = A + BT + CT2 20.005.8122.3372.48726.37718.0117.1277.73910375.32510696.257CompuestoABC22.006.5572.6432.48126.50818.0167.1217.74510340.34010673.565Etanol33.866-1.73E-013.49E-0424.007.3822.9832.47526.64418.0207.1157.75110305.15710650.792Agua8.7121.26E-03-1.80E-0726.008.2963.3612.46826.78518.0257.1097.75710269.77210627.93828.009.3063.7802.46226.93218.0297.1027.76310234.18310605.002Constantes de Cp (vap) (T K)30.0010.4204.2432.45627.08518.0347.0967.76810198.38610581.982(Cp/R) = A + BT + CT2 32.0011.6464.7552.44927.24318.0387.0897.77410162.37910558.879CompuestoABC34.0012.9945.3202.44227.40718.0437.0827.78010126.15810535.691Etanol3.5182.00E-03-6.02E-0636.0014.4735.9422.43627.57618.0477.0767.78610089.72010512.418Agua3.471.45E-030.00E+0038.0016.0946.6262.42927.75118.0527.0697.79110053.06110489.05940.0017.8687.3772.42227.93118.0577.0627.79710016.17710465.613 DHvap (T K)42.0019.8068.2002.41528.11718.0617.0557.8039979.06610442.079 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 44.0021.9219.1022.40828.30918.0667.0487.8099941.72410418.456CompuestoTcTbDHvap,Tb46.0024.22410.0872.40128.50618.0707.0407.8149904.14610394.743Etanol516.20351.509260.0048.0026.73011.1632.39428.70818.0757.0337.8209866.33010370.940Agua647.3373.159717.0050.0029.45312.3372.38728.91618.0797.0257.8269828.27010347.04652.0032.40713.6142.38029.13018.0847.0187.8329789.96210323.05954.0035.60815.0042.37329.34918.0887.0107.8379751.40410298.97956.0039.07316.5132.36629.57418.0937.0027.8439712.58910274.80558.0042.81818.1502.35929.80418.0976.9957.8499673.51510250.53560.0046.86119.9242.35230.04018.1026.9877.8559634.17510226.17062.0051.22221.8442.34530.28218.1066.9797.8619594.56610201.70764.0055.91823.9202.33830.52818.1116.9707.8669554.68210177.14766.0060.97126.1612.33130.78118.1156.9627.8729514.52010152.48768.0066.40128.5782.32331.03918.1206.9547.8789474.07210127.72670.0072.23031.1822.31631.30318.1246.9457.8849433.33510102.86572.0078.48233.9862.30931.57218.1296.9377.8899392.30210077.90174.0085.18037.0002.30231.84718.1336.9287.8959350.96810052.83376.0092.34740.2372.29532.12718.1386.9207.9019309.32810027.66178.00100.01043.7102.28832.41318.1426.9117.9079267.37410002.38480.00108.19547.4342.28132.70418.1476.9027.9129225.1029976.99982.00116.92951.4222.27433.00118.1516.8937.9189182.5059951.50684.00126.24055.6882.26733.30318.1566.8847.9249139.5759925.90486.00136.15860.2492.26033.61218.1606.8757.9309096.3079900.19188.00146.71165.1192.25333.92518.1656.8657.9359052.6939874.36790.00157.93270.3172.24634.24418.1696.8567.9419008.7269848.43092.00169.85175.8572.23934.56918.1746.8477.9478964.3999822.37894.00182.50381.7592.23234.89918.1786.8377.9538919.7039796.21096.00195.91988.0402.22535.23518.1836.8277.9588874.6309769.92698.00210.13794.7192.21935.57618.1876.8187.9648829.1739743.523100.00225.190101.8172.21235.92318.1916.8087.9708783.3239717.0002.38429.51818.0797.0157.8269801.07610336.991

C.Eq. Mol_6

Dtl_ME_7RECTIFICACION DE UNA MEZCLA DE ETANOL-AGUASe desea destilar una mezcla lquida de etanol-agua en una torre fraccionadora a 101.325 kPa de presin.La alimentacin es de 100 kg mol/h y est en estado lquido, a una temperatura de 40C y contiene el 25% mol de etanol.Para este proceso se desea obtener un destilado que contenga el 86% mol de etanol y un residuo con el 5% mol de etanol.La relacin de reflujo a usar en este proceso es de 3:1. La capacidad calorfica promedio de la alimentacin es de: y el calor latente promedio es de kJ/kg mol.Calcular: (1) Flujo de destilado, (2) Flujo de residuos, (3) Nmero de platos y Plato de alimentacin.

Datos Inciales del problemaF* =100.00 kg mol/hxF =0.1500 Kg mol EtOH/kg mol totPF =101.33 kPaDestiladoTF =90.00 CD* =11.76 kgmol/hyV =0.9000 Kg mol EtOH/kg mol totyD =0.9000frac mol EtOHxL =0.0500 Kg mol EtOH/kg mol totTD =87.80 CR =0.470.47PD =101.33 kPaCp*F,prom =19.79 Kcal/ kg mol KH*D =12407.60 Kcal/Kg molDH*Vap =10317.63 Kcal/ kg mol(1- yD) =0.1000frac mol agua9892.32110392.688D* yD =10.59kgmol EtOH/hAlimentacin D*(1-yD) =1.18kgmol agua/hF* =100.00 kgmol/hCp*D,L =27.64Kcal/Kg mol K28.7089931.99xF =0.1500frac mol EtOHDH*Vap =9980.50Kcal/Kg mol18.06410417.13TF =90.00 CL* =5.53 kgmol/hPF =101.33 kPaH*F =1770.35 Kcal/Kg molD* H*D =145971.72 Kcal/h(1- xF) =0.8500frac mol aguaF* xF =15.00kgmol EtOH/hF* (1-xF) =85.00kgmol agua/hCp*F =19.67Kcal/Kg mol K28.76618.065FondoW* =88.24 kgmol/hTB,F = 94.05 Cxw =0.0500frac mol EtOHF* H*F =177035.04 Kcal/hTW =87.80 CCp*F,TB =19.70Kcal/Kg mol KQ = -F* H*F + L* H*L + V* H*V PW =101.33 kPa28.945112293.77H*W =1632.77 Kcal/Kg mol18.069(1- xW) =0.9500frac mol aguaSOLUCION DEL PROBLEMAW* xW =4.41kgmol EtOH/h1. Clculo del valor TB,R :94.05 CW*(1-xW) =83.82kgmol agua/hClculo del valor TR,F :99.10 CCp*W =18.60Kcal/Kg mol K2. Clculo del valor H*F,Lsat:1970.023 Kcal/kg moly = -44.101x4 + 20.522x3 + 2.4092x2 - 6.6426x + 1003. Clculo del valor q :1.02392 Adimens.4. Pendiente de q :42.806 Adimens.W* H*W =143357.09 Kcal/h5. Pendiente de L.Op. Enriquec.:0.31976. Interc. de L.Op. Enriquec.:0.61225'. Pendiente Mnima de L.Op. Enriquec.:0.31605b. Valor mnimo de reflujo.:0.4620Eje XEje Yy*xF =0.66307. Trazado de L.Op. Enriquec.:0.9000.9006. Interc. de L.Op. Enriquec.:0.61560.1000.644

Eje XEje Y8. Trazado de Linea "q" :0.1500.1500.1630.685

Eje XEje Y9. Calc. Interc. L.Op.E. y L. "q" :0.16200.6640

Eje XEje Y9. Trazado de L.Op. Empobrecim. :0.0500.0500.1620.664

Eje XEje Y10. Trazado de las etapas :0.90000.90000.74500.90000.74500.84800.44500.84800.44500.74800.23000.74800.23000.67600.15700.67600.15700.62500.12700.62500.12700.46500.06900.46500.06900.15000.01700.15000.01700.0000

11. Clculo del V* y de L* :11.765 kgmol/h88.235 kgmol/h

Kcal/Kg mol KTPEtOH (kPa)PH2O (kPa)aaPromCpEtOH (l)CpH2O (l) CpEtOH,Pr (l)CpH2O,Pr (l) DH*V,EtOHDH*V,H2ODH*V,EtOH,PrDH*V,H2O,Pr0.001.5450.6092.53725.37817.96510714.8710918.901.001.6600.6552.5352.53625.41517.96825.39717.96610698.3110907.9410706.5910913.422.001.7830.7042.5332.53525.45317.97025.41617.96810681.7210896.9710698.3010907.94Constantes de Antoine (T C, P mmHg)3.001.9130.7562.5312.53425.49317.97225.43517.96910665.0810885.9810689.9910902.45P = 10^(A- (B/(C+T)))4.002.0520.8112.5292.53325.53417.97425.45517.97010648.4010874.9710681.6710896.95CompuestoABC5.002.1990.8702.5272.53225.57617.97725.47517.97110631.6710863.9510673.3410891.45Etanol8.044941554.3222.656.002.3560.9332.5242.53125.62017.97925.49617.97210614.9010852.9010664.9910885.957.002.5221.0002.5222.53025.66517.98125.51717.97310598.0810841.8410656.6310880.43Agua8.107651750.2862358.002.6981.0712.5202.52925.71117.98425.53817.97410581.2310830.7610648.2510874.919.002.8851.1462.5172.52825.75917.98625.56017.97610564.3210819.6510639.8610869.39Constantes de Cp (liq) (T K)10.003.0831.2262.5152.52625.80817.98825.58317.97710547.3710808.5310631.4510863.85(Cp/R) = A + BT + CT2 11.003.2931.3112.5122.52525.85917.99025.60617.97810530.3810797.3910623.0310858.32CompuestoABC12.003.5151.4012.5092.52425.91117.99325.62917.97910513.3410786.2310614.5910852.77Etanol33.866-1.73E-013.49E-0413.003.7501.4962.5072.52325.96417.99525.65317.98010496.2510775.0510606.1410847.22Agua8.7121.26E-03-1.80E-0714.003.9991.5972.5042.52226.01917.99725.67817.98110479.1210763.8610597.6710841.6615.004.2611.7042.5012.52026.07518.00025.70317.98210461.9410752.6410589.1910836.10Constantes de Cp (vap) (T K)16.004.5391.8172.4982.51926.13318.00225.72817.98410444.7110741.4010580.6910830.53(Cp/R) = A + BT + CT2 17.004.8321.9362.4962.51826.19218.00425.75417.98510427.4410730.1510572.1710824.95CompuestoABC18.005.1412.0632.4932.51626.25218.00625.78017.98610410.1110718.8710563.6410819.37Etanol3.5182.00E-03-6.02E-0619.005.4682.1962.4902.51526.31418.00925.80717.98710392.7410707.5710555.1010813.78Agua3.471.45E-030.00E+0020.005.8122.3372.4872.51426.37718.01125.83417.98810375.3310696.2610546.5410808.1821.006.1752.4862.4842.51226.44218.01325.86117.98910357.8610684.9210537.9610802.58 DHvap (T K)22.006.5572.6432.4812.51126.50818.01625.89017.99010340.3410673.5610529.3710796.97 DHv,2 = DHv,1 ((1-Tr2)/(1-Tr1))0.375 23.006.9592.8092.4782.51026.57518.01825.91817.99210322.7710662.1910520.7610791.35CompuestoTcTbDHvap,Tb24.007.3822.9832.4752.50826.64418.02025.94717.99310305.1610650.7910512.1410785.73Etanol516.20351.509260.0025.007.8283.1672.4722.50726.71418.02225.97717.99410287.4910639.3810503.5010780.10Agua647.3373.159717.0026.008.2963.3612.4682.50526.78518.02526.00717.99510269.7710627.9410494.8410774.4727.008.7893.5652.4652.50426.85818.02726.03717.99610252.0010616.4810486.1710768.8228.009.3063.7802.4622.50226.93218.02926.06817.99710234.1810605.0010477.4810763.1829.009.8494.0062.4592.50127.00818.03226.09917.99810216.3110593.5010468.7710757.5230.0010.4204.2432.4562.50027.08518.03426.13118.00010198.3910581.9810460.0510751.8631.0011.0184.4932.4522.49827.16318.03626.16318.00110180.4110570.4410451.3110746.1932.0011.6464.7552.4492.49727.24318.03826.19618.00210162.3810558.8810442.5610740.5133.0012.3045.0312.4462.49527.32418.04126.22918.00310144.3010547.3010433.7810734.8334.0012.9945.3202.4422.49427.40718.04326.26318.00410126.1610535.6910424.9910729.1435.0013.7165.6242.4392.49227.49118.04526.29718.00510107.9710524.0710416.1910723.4436.0014.4735.9422.4362.49127.57618.04726.33118.00610089.7210512.4210407.3610717.7437.0015.2656.2762.4322.48927.66318.05026.36618.00810071.4210500.7510398.5210712.0338.0016.0946.6262.4292.48727.75118.05226.40218.00910053.0610489.0610389.6710706.3139.0016.9626.9932.4262.48627.84018.05426.43818.01010034.6510477.3510380.7910700.5940.0017.8687.3772.4222.48427.93118.05726.47418.01110016.1810465.6110371.9010694.8641.0018.8167.7792.4192.48328.02318.05926.51118.0129997.6510453.8610362.9910689.1242.0019.8068.2002.4152.48128.11718.06126.54918.0139979.0710442.0810354.0610683.3743.0020.8418.6412.4122.48028.21218.06326.58618.0149960.4210430.2810345.1110677.6244.0021.9219.1022.4082.47828.30918.06626.62518.0169941.7210418.4610336.1510671.8645.0023.0489.5842.4052.47628.40618.06826.66318.0179922.9610406.6110327.1710666.1046.0024.22410.0872.4012.47528.50618.07026.70318.0189904.1510394.7410318.1710660.3247.0025.45110.6142.3982.47328.60618.07226.74218.0199885.2710382.8510309.1510654.5448.0026.73011.1632.3942.47228.70818.07526.78218.0209866.3310370.9410300.1110648.7549.0028.06411.7372.3912.47028.81118.07726.82318.0219847.3310359.0010291.0510642.9650.0029.45312.3372.3872.46828.91618.07926.86418.0229828.2710347.0510281.9810637.1651.0030.90012.9622.3842.46729.02218.08126.90618.0249809.1510335.0610272.8910631.3552.0032.40713.6142.3802.46529.13018.08426.94718.0259789.9610323.0610263.7810625.5353.0033.97614.2952.3772.46429.23918.08626.99018.0269770.7110311.0310254.6410619.7154.0035.60815.0042.3732.46229.34918.08827.03318.0279751.4010298.9810245.4910613.8855.0037.30715.7432.3702.46029.46118.09127.07618.0289732.0310286.9010236.3310608.0456.0039.07316.5132.3662.45929.57418.09327.12018.0299712.5910274.8010227.1410602.1957.0040.90917.3152.3632.45729.68818.09527.16418.0309693.0810262.6810217.9310596.3458.0042.81818.1502.3592.45529.80418.09727.20918.0319673.5110250.5410208.7010590.4859.0044.80119.0202.3562.45429.92118.10027.25418.0339653.8810238.3610199.4610584.6160.0046.86119.9242.3522.45230.04018.10227.30018.0349634.1810226.1710190.1910578.7361.0049.00120.8652.3482.45030.16018.10427.34618.0359614.4010213.9510180.9010572.8562.0051.22221.8442.3452.44930.28218.10627.39318.0369594.5710201.7110171.5910566.9663.0053.52622.8622.3412.44730.40418.10927.44018.0379574.6610189.4410162.2710561.0664.0055.91823.9202.3382.44530.52818.11127.48718.0389554.6810177.1510152.9210555.1565.0058.39825.0192.3342.44430.65418.11327.53518.0399534.6410164.8310143.5510549.2466.0060.97126.1612.3312.44230.78118.11527.58418.0419514.5210152.4910134.1610543.3267.0063.63727.3472.3272.44030.90918.11827.63318.0429494.3310140.1210124.7510537.3968.0066.40128.5782.3232.43931.03918.12027.68218.0439474.0710127.7310115.3210531.4569.0069.26429.8562.3202.43731.17018.12227.73218.0449453.7410115.3110105.8710525.5070.0072.23031.1822.3162.43531.30318.12427.78218.0459433.3310102.8610096.4010519.5571.0075.30232.5582.3132.43331.43718.12727.83318.0469412.8610090.4010086.9110513.5972.0078.48233.9862.3092.43231.57218.12927.88418.0479392.3010077.9010077.3910507.6273.0081.77435.4662.3062.43031.70918.13127.93618.0489371.6710065.3810067.8510501.6574.0085.18037.0002.3022.42831.84718.13327.98818.0509350.9710052.8310058.3010495.6675.0088.70338.5892.2992.42731.98618.13628.04018.0519330.1910040.2610048.7210489.6776.0092.34740.2372.2952.42532.12718.13828.09418.0529309.3310027.6610039.1110483.6777.0096.11541.9432.2922.42332.26918.14028.14718.0539288.3910015.0410029.4910477.6678.00100.01043.7102.2882.42132.41318.14228.20118.0549267.3710002.3810019.8410471.6579.00104.03645.5402.2842.42032.55818.14528.25518.0559246.289989.7010010.1710465.6280.00108.19547.4342.2812.41832.70418.14728.31018.0569225.109977.0010000.4810459.5981.00112.49249.3942.2772.41632.85218.14928.36618.0589203.849964.279990.7610453.5582.00116.92951.4222.2742.41533.00118.15128.42218.0599182.509951.519981.0310447.5083.00121.51153.5192.2702.41333.15218.15428.47818.0609161.089938.729971.2710441.4484.00126.24055.6882.2672.41133.30318.15628.53518.0619139.589925.909961.4810435.3885.00131.12157.9312.2632.40933.45718.15828.59218.0629117.989913.069951.6710429.3086.00136.15860.2492.2602.40833.61218.16028.65018.0639096.319900.199941.8410423.2287.00141.35362.6442.2562.40633.76818.16228.70818.0649074.549887.299931.9910417.1388.00146.71165.1192.2532.40433.92518.16528.76618.0659052.699874.379922.1110411.0389.00152.23667.6762.2492.40334.08418.16728.82618.0679030.759861.419912.2010404.9390.00157.93270.3172.2462.40134.24418.16928.88518.0689008.739848.439902.2710398.8191.00163.80273.0432.2432.39934.40618.17128.94518.0698986.619835.429892.3210392.6992.00169.85175.8572.2392.39734.56918.17429.00618.0708964.409822.389882.3410386.5693.00176.08378.7622.2362.39634.73318.17629.06618.0718942.109809.319872.3410380.4194.00182.50381.7592.2322.39434.89918.17829.12818.0728919.709796.219862.3110374.2795.00189.11384.8512.2292.39235.06618.18029.19018.0738897.219783.089852.2610368.1196.00195.91988.0402.2252.39135.23518.18329.25218.0748874.639769.939842.1810361.9497.00202.92691.3292.2222.38935.40518.18529.31518.0768851.959756.749832.0810355.7698.00210.13794.7192.2192.38735.57618.18729.37818.0778829.179743.529821.9510349.5899.00217.55698.2152.2152.38535.74918.18929.44218.0788806.309730.289811.7910343.39100.00225.190101.8172.2122.38435.92318.19129.50618.0798783.329717.009801.6110337.192.38429.50618.0799801.6110337.19

C.Eq. Mol_7

GlobalDATOSPAREJAxF yV (xD)xW RTF TB TR HF HL HV qZL NTeo NReal 10.250.880.084609198.81221.0161891.695231479412123.69557865081.0662.82120.250.880.08291 Andrea + Veronica9198.81891.69523147941891.695231479412123.69557865081.0002.70530.250.880.08195 Tzitzijani + Yadira9198.84344.65631865441891.695231479412123.69557865080.76030.75002.37740.350.940.12485 Diana + Alejandro88.398.81848.53741036371925.890617169412123.69557865081.0084.08950.350.940.12288.3 Gaby + Maricruz88.398.351925.89061716941925.890617169412123.69557865081.0004.86260.350.940.12193 Alexandra + Mariela88.398.355047.19897629571925.890617169412123.69557865080.69390.67905.97470.40.950.15480 Carolina + Martha87.0597.91772.63929483331943.103285530812123.69557865081.0174.96480.40.950.15287.05 Maricarmen + Lorena87.0597.91943.10328553081943.103285530812123.695578650815.57590.450.960.18480 Nayeli + Ricardo85.997.41813.65547916661960.84590583712123.69557865081.0146.966100.450.960.18285.9 Silvia Yol + Manuel Ale85.997.41960.8459058371960.84590583712123.695578650818.547110.450.960.18190 Oscar85.997.45231.76499066031960.84590583712123.69557865080.67810.6593

PAREJA 1PAREJA 2PAREJA 3PAREJA 4PAREJA 5PAREJA 6PAREJA 7PAREJA 8PAREJA 9PAREJA 10PAREJA 11Valor de la pendiente de L.Op.Enr.0.800L. Op. De la zona de Enr.0.667L. Op. De la zona de Enr.0.500L. Op. De la zona de Enr.0.800L. Op. De la zona de Enr.0.667L. Op. De la zona de Enr.0.500L. Op. De la zona de Enr.0.800L. Op. De la zona de Enr.0.667L. Op. De la zona de Enr.0.800L. Op. De la zona de Enr.0.667L. Op. De la zona de Enr.0.500L. Op. De la zona de Enr.Valor del Intercepto de L.Op.Enr.0.1760Eje XEje Y0.2933Eje XEje Y0.4400Eje XEje Y0.1880Eje XEje Y0.3133Eje XEje Y0.4700Eje XEje Y0.1900Eje XEje Y0.3167Eje XEje Y0.1920Eje XEje Y0.3200Eje XEje Y0.4800Eje XEje Y0.8800.8800.8800.8800.8800.8800.9400.9400.9400.9400.9400.9400.9500.9500.9500.9500.9600.9600.9600.9600.9600.9600.2000.3360.2000.4270.1500.5150.1500.3080.1500.4130.1500.5450.1500.3100.1500.4170.1500.3120.1500.4200.1500.555

Valor de q =1.066Linea "q"1.000Linea "q"0.760Linea "q"1.008Linea "q"1.000Linea "q"0.694Linea "q"1.017Linea "q"1.000Linea "q"1.014Linea "q"1.000Linea "q"0.678Linea "q"Valor de la pendiente de Linea "q"16.2561741545Eje XEje YEje XEje Y-3.1712852277Eje XEje Y132.8342882293Eje XEje YEje XEje Y-2.2671571624Eje XEje Y60.7228320859Eje XEje YEje XEje Y70.0455887839Eje XEje YEje XEje Y-2.1070318187Eje XEje YValor del Intercepto de Linea "q"-3.81404353860.2500.2500000.2500.2500001.04282130690.2500.250000-46.14200088020.35000.3500000.3500.3500001.14350500680.3500.350000-23.88913283440.4000.4000000.4000.400000-31.07051495280.4500.4500000.4500.4500001.39816431840.4500.4500000.2600.4125620.2500.5000000.1500.5671290.35150.5492510.3500.5466670.2200.6447300.4020.5214460.4000.5833330.4520.5900910.4500.6200000.3300.702844

Soluc. De la Ec. L.Op.Enr. Y Lnea "q"Valor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor yValor xValor y0.2580.3825220.2500.4600000.1640.5220990.350890.4687150.3500.5466670.2430.5916960.4020.5114690.4000.5833330.4510.5531780.4500.6200000.3520.656094

L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.L.Op. Z. Empobrec.Valor de la pendiente de L.Op.Empobr.1.698Eje XEje Y2.235Eje XEje Y5.251Eje XEje Y1.510Eje XEje Y1.855Eje XEje Y3.823Eje XEje Y1.435Eje XEje Y1.733Eje XEje Y1.375Eje XEje Y1.630Eje XEje Y2.765Eje XEje YValor del Intercepto de L.Op.Empobr.-0.05580.0800.080000-0.09880.0800.080000-0.34010.0800.080000-0.06120.120000.120000-0.10260.1200.120000-0.33870.1200.120000-0.06530.1500.150000-0.11000.1500.150000-0.06740.1800.180000-0.11330.1800.180000-0.31770.1800.1800000.2580.3825220.2500.4600000.1640.5220990.350890.4687150.3500.5466670.2430.5916960.4020.5114690.4000.5833330.4510.5531780.4500.6200000.3520.656094

Trazado de las etapas:Eje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje YEje XEje Y0.8800.8800000.8800.8800000.8800.8800000.9400.9400000.9400.9400000.9400.9400000.9500.9500000.9500.9500000.9600.9600000.9600.9600000.9600.9600000.6170.8800000.6170.8800000.6170.8800000.9150.9400000.9150.9400000.9150.9400000.9330.9500000.9330.9500000.9550.9600000.9550.9600000.9550.9600000.6170.6696000.6170.7046670.6170.7485000.9150.9200000.9150.9233330.9150.9275000.9330.9364000.9330.9386670.9550.9560000.9550.9566670.9550.9575000.1550.6696000.1840.7046670.2320.7485000.8500.9200000.8620.9233330.8780.9275000.9050.9364000.9050.9386670.9450.9560000.9470.9566670.9470.9575000.1550.2073580.1840.3124710.2320.5560000.8500.8680000.8620.8880000.8780.9090000.9050.9140000.9050.9200000.9450.9480000.9470.9513330.9470.9535000.0250.2073580.0390.3124710.0960.5560000.5450.8680000.6680.8880000.8020.9090000.8230.9140000.8450.9200000.9310.9480000.9360.9513330.9360.9535000.025-0.0133960.039-0.0116470.0960.1640100.5450.6240000.6680.7586670.8020.8710000.8230.8484000.8450.8800000.9310.9368000.9360.9440000.9360.9480000.0200.1640100.1250.6240000.2470.7586670.5580.8710000.4500.8484000.6240.8800000.9060.9368000.9220.9440000.9220.9480000.020-0.2350390.1250.1275510.2470.3555940.5580.7490000.4500.5500000.6240.7326670.9060.9168000.9220.9346670.9220.941000Clculo de la fraccin de etapa:0.0150.1275510.0450.3555940.2350.7490000.0940.5500000.2140.7326670.84150.9168000.90000.9346670.90000.9410000.015-0.0385800.045-0.0191300.2350.5596140.0940.0696210.2140.2609330.84150.8652000.90000.9200000.90000.9300000.0980.5596140.0300.2609330.53000.8652000.85000.9200000.85000.930000Area de la ltima etapa total0.01434902160.02349852940.01516388040.00913721540.03784718840.03587443940.0980.0359000.08550741810.02934186670.030-0.0580000.10467116850.53000.6160000.03731525930.85000.8866670.0000490.85000.905000Area de la frac. De etapa ltima0.01178063160.01656094120.00571270840.00081177740.03262979710.03494933790.08240.01686186670.1011520.12300.6160000.02041925930.66000.886667-0.4303920.66000.905000Fraccin de etapa ltima0.82100591720.70476500410.37673130190.08884297520.86214586810.97421279770.96365908210.57466918710.9663788170.12300.1016450.54720936330.66000.760000-8783.51020408180.66000.8100000.25000.7600000.25000.8100000.25000.2940740.25000.3735480.03600.2940740.03600.3735480.0360-0.0546670.0360-0.218156

C.Eq. Mol_Eq1

C.Eq. Mol_Eq2

C.Eq. Mol_Eq3

C.Eq. Mol_Eq4

C.Eq. Mol_Eq5

C.Eq. Mol_Eq6

C.Eq. Mol_Eq7

C.Eq. Mol_Eq8

C.Eq. Mol_Eq9

C.Eq. Mol_Eq10

C.Eq. Mol_Eq11

Hoja1