D1. A continuous, steady-state distillation column with a total condenser and a partial reboiler isseparating methanol from water at one atmosphere (see Table 2-7 for data). The feed rate is 100kmol/h. The feed is 55 mol% methanol and 45 mol% water. We desire a distillate product that is90 mol% methanol and a bottoms product that is 5 mol% methanol. Assume CMO.a. If the external reflux ratio L/D = 1.25 plot the top operating line.b. If the boilup ratio /B = 2.0 plot the bottom operating line.c. Step off stages starting at the bottom with the partial reboiler. Use the optimum feed stage.Report the optimum feed stage and the total number of stages.d. Plot the feed line. Calculate its slope. Calculate q. What type of feed is this?

componente F D B Z XD XBmetanol 55 52.9411765 2.05882353 0.55 0.9 0.05agua 45 5.88235294 39.1176471 0.45 0.1 0.95

100 58.8235294 41.1764706

A)Ln/D = R 1.25

XD 0.9 0.90.9 0

Z 0.55 0.550.55 0

XB 0.05 0.050.05 0

m bLOR 0.55555556 0.4

X YLOR 0.9 0.9

0 0.4

B) Lm/B 2B 41.1764706Lm 82.3529412Vm 41.1764706

m bLOS 2 -0.05

X YLOS 0.05 0.05

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1-0.2

-1.66533453693773E-16

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-1.66533453693773E-16

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0.5 0.95

C) m bLOR 0.55555556 0.4LOS 2 -0.05 N

x yinterseccion X Y 0.9 0.9

0.31153846 0.57307692 0.76 0.9 10.76 0.82222222

X Y 0.6 0.82222222 1LOR 0.9 0.9 0.6 0.73333333

0.31153846 0.57307692 cambio 0.4 0.73333333 1LOS 0.05 0.05 0.4 0.62222222

0.31153846 0.57307692 0.25 0.62222222 1LOA 0.55 0.55 0.25 0.45

0.31153846 0.57307692 0.12 0.45 10.12 0.190.04 0.19 1

D) 0.04 0.03

X YLOA 0.55 0.55

0.31153846 0.57307692m b

LOA -0.09677419 0.60322581

m= Pendiente -0.09677419q/(q-1) -0.09677419q= 0.08823529

q= <0-1> Parcialmente vaporizada8.82 `Liquido

91.2% Vapor

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-1.66533453693773E-16

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𝐿𝑂𝐴=𝑚_𝐿𝑂𝐴 X + 𝑏_𝐿𝑂𝐴𝐿𝑂𝐴=𝑞/(𝑞−1)X - 𝑧/(𝑞−1)

D1. A continuous, steady-state distillation column with a total condenser and a partial reboiler is x y volatilidad no cteseparating methanol from water at one atmosphere (see Table 2-7 for data). The feed rate is 100 0 0kmol/h. The feed is 55 mol% methanol and 45 mol% water. We desire a distillate product that is 0.02 0.134 7.58198614

0.04 0.23 7.168831170.06 0.305 6.875299760.08 0.365 6.61023622

c. Step off stages starting at the bottom with the partial reboiler. Use the optimum feed stage. 0.1 0.418 6.463917530.15 0.517 6.06556246

0.2 0.579 5.501187650.3 0.665 4.63184080.4 0.729 4.035055350.5 0.779 3.524886880.6 0.825 3.142857140.7 0.87 2.868131870.8 0.915 2.691176470.9 0.958 2.53439153

0.95 0.979 2.453634091 1

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-1.66533453693773E-16

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n° de etapas 6etapa optima 3

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XYX=YXDZXBLORLOSLOAColumn KN

a. A distillation column with a total condenser is separating acetone from ethanol. A distillateconcentration of xD = 0.90 mole fraction acetone is desired. Since CMO is valid, L/V =constant. If L/V is equal to 0.8, find the composition of the liquid leaving the fifth stage belowthe total condenser.b. A distillation column separating acetone and ethanol has a partial reboiler that acts as anequilibrium contact. If the bottoms composition is xB = 0.13 mole fraction acetone and theboilup ratio /B = 1.0, find the vapor composition leaving the second stage above the partialreboiler.c. The distillation column in parts a and b is separating acetone from ethanol and has xD = 0.9, xB= 0.13, L/V = 0.8, and /B = 1.0. If the feed composition is z = 0.3 (all concentrations are molefraction of more volatile component), find the optimum feed plate location, total number ofstages, and required q value of the feed. Equilibrium data for acetone and ethanol at 1 atm(Perry et al., 1963, pp. 13–4) are

A)DATOS: componente F DLn/Vn= 0.8 acetona 60 54q (liquido)= 1 etanol 40 4entonces R/(R+1)= 0.8 100 58R= 4

F D B R q100 58 42 4 1

mXD 0.9 0.9 LOR 0.8

0.9 0 LOS 1.14482759

Z 0.6 0.6 LOR 0.90.6 0 0.582

XB 0.14285714286 0.14285714 LOS 0.142857140.14285714286 0 0.582

X Y LOA 0.60.582 0.6456 0.582

-0.582 0.6456

ETAPAS N0.9 0.9

1° 0.85 0.90.85 0.86

2° 0.79 0.860.79 0.812

3° 0.72 0.8120.72 0.756

4° 0.63 0.7560.63 0.684

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5° 0.52 0.6840.52 0.57462069 CAMBIO

6° 0.36 0.574620690.36 0.39144828

7° 0.18 0.391448280.18 0.18537931

8° 0.07 0.185379310.07 0.05944828

Entonces el % de liquido en la 5° etapa es de 0.52

B) b. A distillation column separating acetone and ethanol has a partial reboiler that acts as anequilibrium contact. If the bottoms composition is xB = 0.13 mole fraction acetone and theboilup ratio /B = 1.0, find the vapor composition leaving the second stage above the partialreboiler.

DATOS:Vm/B= 1 componente F Dq = 1.1 acetona 20 17.4

etanol 80 10.4100 27.8

F D B q Ln100 27.8 72.2 1.1 34.4

m bLOR 0.55305466238 0.27974277 XD 0.63LOS 2 -0.13 0.63

X Y Z 0.20.28317777778 0.43635556 0.2

XB 0.130.13

ETAPA N0.62589928058 0.62589928

1° 0.42 0.625899280.42 0.51202572

2° 0.28 0.512025720.28 0.43459807

3° 0.21 0.434598070.21 0.29 CAMBIO

4° 0.12 0.290.12 0.11

Entonces el % de vapor en la 2° etapa es de 0.512

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C)c. The distillation column in parts a and b is separating acetone from ethanol and has xD = 0.9, xB= 0.13, L/V = 0.8, and /B = 1.0. If the feed composition is z = 0.3 (all concentrations are molefraction of more volatile component), find the optimum feed plate location, total number ofstages, and required q value of the feed. Equilibrium data for acetone and ethanol at 1 atm(Perry et al., 1963, pp. 13–4) are

DATOS:Ln/Vn= 0.8 componente F Dentonces R/(R+1)= 0.8 acetona 30 19.8701299R= 4 etanol 70 2.20779221Vm/B= 1 100 22.0779221

F D B100 22.077922078 77.9220779

m bLOR 0.8 0.18 XD 0.9LOS 2 -0.13 0.9

X Y Z 0.30.258333333333333 0.38666666667 0.3

XB 0.130.13

ETAPA N0.9 0.9

1° 0.86 0.90.86 0.868

2° 0.809 0.8680.809 0.8272

3° 0.74 0.82720.74 0.772

4° 0.66 0.7720.66 0.708

5° 0.56 0.7080.56 0.628

6° 0.44 0.6280.44 0.532

7° 0.31 0.5320.31 0.428

8° 0.21 0.428

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0.21 0.29 CAMBIO9° 0.12 0.29

0.12 0.11 Posee 9 etapas La alimentacion se encuentra el la 8° etapa

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a. A distillation column with a total condenser is separating acetone from ethanol. A distillate X Yconcentration of xD = 0.90 mole fraction acetone is desired. Since CMO is valid, L/V = 0 0constant. If L/V is equal to 0.8, find the composition of the liquid leaving the fifth stage below 0.1 0.262

0.15 0.348b. A distillation column separating acetone and ethanol has a partial reboiler that acts as an 0.2 0.417equilibrium contact. If the bottoms composition is xB = 0.13 mole fraction acetone and the 0.25 0.478boilup ratio /B = 1.0, find the vapor composition leaving the second stage above the partial 0.3 0.524

0.35 0.566c. The distillation column in parts a and b is separating acetone from ethanol and has xD = 0.9, xB 0.4 0.605= 0.13, L/V = 0.8, and /B = 1.0. If the feed composition is z = 0.3 (all concentrations are mole 0.5 0.674fraction of more volatile component), find the optimum feed plate location, total number of 0.6 0.739stages, and required q value of the feed. Equilibrium data for acetone and ethanol at 1 atm 0.7 0.802

0.8 0.8650.9 0.9291 1

B Z (supu) XD XB6 0.6 0.9 0.14285714

36 0.4 0.1 0.8571428642

Ln Vn Vm Lm232 290 290 332

b0.18

-0.02068966

0.90.6456

0.142857140.6456

0.60.6456

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Entonces el % de liquido en la 5° etapa es de 0.52

b. A distillation column separating acetone and ethanol has a partial reboiler that acts as anequilibrium contact. If the bottoms composition is xB = 0.13 mole fraction acetone and theboilup ratio /B = 1.0, find the vapor composition leaving the second stage above the partial

B Z (supu) XD XB2.6 0.2 0.63 0.13

69.6 0.8 0.37 0.8772.2

Vn Vm Lm62.2 72.2 144.4

0.63 LOR 0.63 0.630 0.28317778 0.43635556

0.2 LOS 0.13 0.130 0.28317778 0.43635556

0.13 LOA 0.2 0.20 0.28317778 0.43635556

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c. The distillation column in parts a and b is separating acetone from ethanol and has xD = 0.9, xB= 0.13, L/V = 0.8, and /B = 1.0. If the feed composition is z = 0.3 (all concentrations are molefraction of more volatile component), find the optimum feed plate location, total number ofstages, and required q value of the feed. Equilibrium data for acetone and ethanol at 1 atm

B Z XD XB10.1298701 0.3 0.9 0.1367.7922078 0.7 0.1 0.8777.9220779

R Ln Vn Vm Lm4 88.3116883 110.38961 77.9220779 155.844156

0.9 LOR 0.9 0.90 0.25833333 0.38666667

0.3 LOS 0.13 0.130 0.25833333 0.38666667

0.13 LOA 0.3 0.30 0.25833333 0.38666667

pendiente interseccionLOA -2.08 0.924

q/(q-1) -2.08q 0.67532468

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𝐿𝑂𝐴=𝑚_𝐿𝑂𝐴 X + 𝑏_𝐿𝑂𝐴𝐿𝑂𝐴=𝑞/(𝑞−1)X - 𝑧/(𝑞−1)

La alimentacion se encuentra el la 8° etapa

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a. Una columna de destilación con un condensador total se separa acetona a partir de etanol. Un destiladoconcentración de xD = 0,90 fracción molar de acetona se desea. Desde OCM es válida, L / V =constante. Si L / V es igual a 0,8, encontrar la composición del líquido que sale de la quinta etapa debajoel condensador total.b. Una columna de destilación que separa la acetona y el etanol tiene un rehervidor parcial que actúa como unacontactos de equilibrio. Si la composición de los fondos es xB = 0,13 moles fracción acetona y larelación boilup / B = 1,0, encontrar la composición del vapor dejando la segunda etapa por encima de la parcialrehervidor.c. La columna de destilación en las partes A y B es separar acetona a partir de etanol y tiene xD = 0,9, xB= 0,13, L / V = 0,8, y / B = 1,0. Si la composición de la alimentación es z = 0.3 (todas las concentraciones son molfracción del componente más volátil), encontrar la ubicación de la placa de alimentación óptima, el número total deetapas y requiere valor q de la alimentación. Datos de equilibrio de acetona y etanol a 1 atm(Perry et al., 1963, pp. 13-4) son

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a. Una columna de destilación con un condensador total se separa acetona a partir de etanol. Un destiladoconcentración de xD = 0,90 fracción molar de acetona se desea. Desde OCM es válida, L / V =constante. Si L / V es igual a 0,8, encontrar la composición del líquido que sale de la quinta etapa debajoel condensador total.b. Una columna de destilación que separa la acetona y el etanol tiene un rehervidor parcial que actúa como unacontactos de equilibrio. Si la composición de los fondos es xB = 0,13 moles fracción acetona y larelación boilup / B = 1,0, encontrar la composición del vapor dejando la segunda etapa por encima de la parcialrehervidor.c. La columna de destilación en las partes A y B es separar acetona a partir de etanol y tiene xD = 0,9, xB= 0,13, L / V = 0,8, y / B = 1,0. Si la composición de la alimentación es z = 0.3 (todas las concentraciones son molfracción del componente más volátil), encontrar la ubicación de la placa de alimentación óptima, el número total deetapas y requiere valor q de la alimentación. Datos de equilibrio de acetona y etanol a 1 atm(Perry et al., 1963, pp. 13-4) son