Modelamiento Elv Grupo 5.xlsx

GRUPO 5: TAREA GRUPO 5: TAREAN°2 N° MODELAMIENTO ELV PROBLEMA

MODELAMIENTO ELV PROBLEM SISTEMA METANOL(1) -ACETONI SISTEMA METANOL(1) -ACETON INTEGRANTES: INTEGRANTES: CARRION CORDOVA DIEGO 1426115137 CARRION CORDOVA DIEGO CORONADO LEZMA CARLOS CORONADO CARLOS LLAJA TORRESLEZMA CAROLINA LLAJA TORRES VELARDE RAMOSCAROLINA GERSON VELARDE RAMOS PAREJA MORI KEVINGERSON PAREJA MORIKAREN KEVIN PEREZ JULCA PEREZ JULCA KAREN

142611513 1516110035 151611003 1516110071 151611007 142612515 14261251 142612551 14261255 132612029 13261202

EA N°2 REA N°2

ROBLEMA 12.6 PROBLEMA 12.6 -ACETONITRILO(2) -ACETONITRILO(2) 1426115137 1426115137 1516110035 1516110035 1516110071 1516110071 1426125156 1426125156 1426125515 1426125515 1326120297 1326120297

G E / RTca lc-L N (G 1 )-L N (G 2 )-G E / RT X 1 X 2

WILSON Para el sistema Metanol(1)/Acetonitrilo(2) en ELV a T=333.15 K, se tiene los datos experimentales. Wilson Datos experimentales Datos calculados con ecuación de ELV Λ12 Λ21 P(KPa) x1 y1 Ganma 1 Ganma 2 GE/RT GE/RTcalc 85.265 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 82.202 0.0579 0.0253 0.7238 0.9974 -0.0211 0.0450 80.481 0.0924 0.0416 0.7302 0.9967 -0.0320 0.0695 72.422 0.2482 0.1314 0.7726 0.9813 -0.0782 0.1585 65.096 0.3880 0.2457 0.8307 0.9410 -0.1092 0.2067 59.651 0.5036 0.3686 0.8798 0.8899 -0.1224 0.2228 56.833 0.5749 0.4564 0.9092 0.8524 -0.1226 0.2213 51.62 0.7676 0.7176 0.9725 0.7357 -0.0928 0.1697 50.455 0.8476 0.8238 0.9882 0.6842 -0.0679 0.1258 49.926 0.9093 0.9002 0.9960 0.6443 -0.0435 0.0819 49.72 0.9529 0.9502 0.9991 0.6166 -0.0236 0.0452 49.624 1.0000 1.0000 1.0000 0.0000 0.0000 0.0000 OBJETIVO

1.2000

1.0000

0.8000

0.6000

X1 X1 X1 X1

0.4000

0.2000

0.0000 0.0000

0.2000

0.4000

X1

0.6000

0.8000

1.0000

VS VS VS VS

GE/RTca l c LN(G1) LN(G2) GE/RTX1X2

s experimentales. Wilson 0.75960904 0.45631214 Δ(GE/RT)2 Ln(Ganma1) Ln(Ganma2) 0.0000 0.8186 0.0000 0.0044 0.7381 0.0024 0.0103 0.6919 0.0062 0.0560 0.4998 0.0458 0.0998 0.3503 0.1157 0.1192 0.2433 0.2020 0.1183 0.1853 0.2700 0.0689 0.0625 0.5237 0.0375 0.0285 0.6667 0.0157 0.0106 0.7965 0.0047 0.0030 0.9001 0.0000 0.0000 1.0250 0.5348323

sistema volumen a12 a21 metanol(1) 40.73 504.31 196.75 acetonitrilo(2) 66.3

Pcalc 85.2650 86.5323 87.0238 87.4067 85.9159 83.6749 81.8172 74.0008 68.5892 62.7556 57.3066 49.6240

y1calc 0.0000 0.0695 0.1052 0.2323 0.3181 0.3809 0.4197 0.5479 0.6310 0.7267 0.8276 1.0000

GE/RTx1x2 0.8182 0.8250 0.8290 0.8492 0.8707 0.8913 0.9055 0.9510 0.9737 0.9930 1.0078 1.0246

R(cal/molK) T(K)

89 84

P(KPa)

79 74 Y1 VS P X1 VS P Y1ca lc VS Pca l c X1 VS Pca lc

69 64 59 54 49 0.0000

0.2000

0.4000

0.6000

X1,Y1

0.8000

1.0000

1.987 333

100.000

90.000

Pcal

G E / RTca l-L N (G 1 )-L N (G 2 )-G E / RT X 1 X 2

NRTL Para el sistema Metanol(1)/Acetonitrilo(2) en ELV a T=333.15 K, se tiene los datos experimentales NRTL Datos experimentales Datos calculados con ecuación de ELV τ12 0.51944244 τ21 0.47544777 P(KPa) x1 y1 Ganma 1 Ganma 2 GE/RT GE/RTcalc (ΔGE/RT)2 85.265 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 0.0000 82.202 0.0579 0.0253 0.7238 0.9974 -0.0211 0.0502 0.0051 80.481 0.0924 0.0416 0.7302 0.9967 -0.0320 0.0771 0.0119 72.422 0.2482 0.1314 0.7726 0.9813 -0.0782 0.1716 0.0624 65.096 0.3880 0.2457 0.8307 0.9410 -0.1092 0.2185 0.1074 59.651 0.5036 0.3686 0.8798 0.8899 -0.1224 0.2303 0.1244 56.833 0.5749 0.4564 0.9092 0.8524 -0.1226 0.2254 0.1211 51.62 0.7676 0.7176 0.9725 0.7357 -0.0928 0.1651 0.0665 50.455 0.8476 0.8238 0.9882 0.6842 -0.0679 0.1198 0.0352 49.926 0.9093 0.9002 0.9960 0.6443 -0.0435 0.0766 0.0144 49.72 0.9529 0.9502 0.9991 0.6166 -0.0236 0.0418 0.0043 49.624 1.0000 1.0000 1.0000 0.0000 0.0000 0.0000 0.0000 OBJETIVO 0.5527

1.0000 0.9000

80.000

70.000

0.8000 0.7000

60.000

0.6000 0.5000

X1 X1 X1 X1

0.4000 0.3000

vs GE/RTca l vs LN(G1) VS LN(G2) VS GE/RTX1X2

50.000

0.2000

40.000 0.0000

0.1000 0.0000 0.0000

0.2000

0.4000

x1

0.6000

0.8000

1.0000

0.20

sistema metanol(1) acetonitrilo(2) G12 0.85654725 G21 0.8678547 LN(Ganma1) LN(ganma2) GE/RTx1x2 0.9204 0.0000 0.9204 0.8162 0.0031 0.9199 0.7573 0.0079 0.9198 0.5199 0.0566 0.9195 0.3456 0.1379 0.9201 0.2284 0.2321 0.9212 0.1681 0.3027 0.9221 0.0509 0.5423 0.9257 0.0221 0.6636 0.9276 0.0079 0.7662 0.9293 0.0021 0.8437 0.9306 0 0.9321 0.9321

Pcal 85.265 87.077 87.777 88.548 87.100 84.789 82.813 74.165 68.231 62.119 56.724 49.624

volumen b12 40.73 66.3

ycalc 0.000 0.075 0.111 0.234 0.312 0.370 0.408 0.540 0.630 0.732 0.835 1.000

100.000

Pcal

90.000

80.000

70.000 X1 VS Pca l Y1cal vs Pca l

60.000

50.000

40.000 0.0000

0.2000

0.4000

0.6000

x1,Y1 cal

0.8000

1.0000

b21 343.7

314.59

R(cal/molK) T(K)

1.987 333

α 0.2981

MARGULES Para el sistema metanol(1)/acetonitrilo(2) en ELV a T=308.15 K, se tiene los datos experimentales

MARGULES EXPER

DATOS EXPERIMENTALES P(kPa) 85.265 82.202 80.481 72.422 65.096 59.651 56.833 51.62 50.455 49.926 49.72 49.624

x1 0.0000 0.0579 0.0924 0.2482 0.3880 0.5036 0.5749 0.7676 0.8476 0.9093 0.9529 1.0000

x2 1 0.9421 0.9076 0.7518 0.612 0.4964 0.4251 0.2324 0.1524 0.0907 0.0471 0

y1 0.0000 0.0253 0.0416 0.1314 0.2457 0.3686 0.4564 0.7176 0.8238 0.9002 0.9502 1.0000

y2 1 0.9747 0.9584 0.8686 0.7543 0.6314 0.5436 0.2824 0.1762 0.0998 0.0498 0

Gamma1

Ln(Gamma1)

0.7238233241 0.730168268 0.7726313643 0.8306842299 0.8798235247 0.9092056804 0.9724643651 0.988196433 0.9960171622 0.9990956106 1

-0.3232079438 -0.3144802673 -0.2579532338 -0.1855055444 -0.1280339317 -0.0951839394 -0.0279218468 -0.0118737821 -0.0039907904 -0.0009047986 0

Gamma2 Ln(Gamma2) 1 0 0.9974371739 -0.0025661 0.9967239305 -0.0032814 0.9813348482 -0.0188415 0.9409708985 -0.0608431 0.889856008 -0.1166956 0.8523503192 -0.1597577 0.7356576788 -0.3069904 0.6841547573 -0.3795711 0.6442867948 -0.4396113 0.616550649 -0.4836148

Tabla de los parámetros de Margules Margules A12= A21=

-0.3832 -0.5532

Datos experimentales x1 x2 GE/RT GE/RTcalc ∆(GE/RT)^2 Ln(Gamma1) 0 1 0 0 0 -0.3832 0.0579 0.9421 -0.0211313 -0.02143955 0.000000095 -0.3575824403 0.0924 0.9076 -0.0320362 -0.03345332 2.008172E-06 -0.3415348551 0.2482 0.7518 -0.0781891 -0.07937714 1.411526E-06 -0.2642822526

Datos del modelo Gamma1 Ln(Gamma2) 0.6816765503 0 0.6993650407 -0.0007807294 0.7106786964 -0.0020884727 0.7677568077 -0.018332385

Gamma2 Pcal 1 85.265 0.9992195753 82.2749028 0.9979137066 80.4837079 0.981834631 72.3939989

0.388 0.5036 0.5749 0.7676 0.8476 0.9093 0.9529 1

0.612 0.4964 0.4251 0.2324 0.1524 0.0907 0.0471 0

Psat2

Psat1

x1 0 0.0579

-0.1092121 -0.1224056 -0.1226342 -0.0927774 -0.0679109 -0.0435016 -0.0236404 0

-0.10665574 -0.11719692 -0.11753521 -0.09163764 -0.06811254 -0.04435269 -0.02446913 0

Tabla de Gráficas P-x1-x1 P(kPa) x1 85.265 0 82.202 0.0579 80.481 0.0924 72.422 0.2482 65.096 0.388 59.651 0.5036 56.833 0.5749 51.62 0.7676 50.455 0.8476 49.926 0.9093 49.72 0.9529 49.624 1

0.000006535 2.713023E-05 0.000026 0.000001299 4.067678E-08 7.243957E-07 6.867251E-07 0

-0.1929351053 -0.1366172589 -0.1045707386 -0.0347922232 -0.0155934037 -0.0056957091 -0.0015688285 0

-0.0519557453 -0.0974949085 -0.1350682037 -0.2793938408 -0.3602071813 -0.431902739 -0.4877747776 -0.5532

0.9493708801 0.90710696 0.873656323 0.7562420056 0.6975317956 0.6492725225 0.613991142 0.5751065218

65.4159406 60.1932389 57.3629196 51.7742667 50.4745081 49.8879978 49.6783601 49.624

Chart Title

y1cal 0 0.024423442 0.040488255 0.130621496 0.24268853 0.362157643 0.44795907 0.710563192 0.820424255 0.8993511 0.950365168 1

Parámetros Termodinámicos Ln(Gamma1) Ln(Gamma2) GE/RTcalc -0.3832 0 0 -0.3575824 -0.00078073 -0.021439548

0.8245354804 0.8723040288 0.9007110801 0.9658060675 0.984527544 0.9943204807 0.9984324015 1

GE/RT X1X2 -0.3832 -0.393043

-0.3415349 -0.2642823 -0.1929351 -0.1366173 -0.1045707 -0.0347922 -0.0155934 -0.0056957 -0.0015688 0

-0.00208847 -0.01833238 -0.05195575 -0.09749491 -0.1350682 -0.27939384 -0.36020718 -0.43190274 -0.48777478 -0.5532

-0.033453318 -0.079377142 -0.106655737 -0.117196924 -0.117535211 -0.091637639 -0.068112543 -0.044352687 -0.024469129 0

-0.398908 -0.425394 -0.44916 -0.468812 -0.480933 -0.513692 -0.527292 -0.537781 -0.545193 -0.5532

0

0

0.2

0.4

0.6

-0.1 -0.2

Axis Title

0.0924 0.2482 0.388 0.5036 0.5749 0.7676 0.8476 0.9093 0.9529 1

-0.3 -0.4 -0.5 -0.6

Axis Title

0.8

ARGULES EXPERIMENTAL

metodo de lo GE/RT 0 -0.0211313 -0.0320362 -0.0781891 -0.1092121 -0.1224056 -0.1226342 -0.0927774 -0.0679109 -0.0435016 -0.0236404 0

y1cal 0 0.02442344 0.04048826 0.1306215

GE/RTx1x2

x1

GE/RTx1x2

-0.3873916 -0.3820101 -0.4190269 -0.4599257 -0.4896478 -0.5017973 -0.520081 -0.5257307 -0.5274611 -0.5267291

0 0.0579 0.0924 0.2482 0.388 0.5036 0.5749 0.7676 0.8476 0.9093 0.9529 1

-0.3873916 -0.3820101 -0.4190269 -0.4599257 -0.4896478 -0.5017973 -0.520081 -0.5257307 -0.5274611 -0.5267291

GE/RTx1x2 -0.393043 -0.398908 -0.425394

0

y= ax+ b a= b=

0

0.2

0.4

-0.1

-0.17 -0.3832

-0.2 -0.3 -0.4 -0.5 -0.6

f(x) = - 0.1700160598x - 0.3 R² = 0.9401406261

0.24268853 0.36215764 0.44795907 0.71056319 0.82042426 0.8993511 0.95036517 1

Chart Title

-0.44916 -0.468812 -0.480933 -0.513692 -0.527292 -0.537781 -0.545193

.4

0.6

Axis Title

0.8

1

1.2

metodo de los minimos cuadrados 0

0

0.2

0.4

0.6

-0.1 -0.2 -0.3 -0.4 -0.5 -0.6

f(x) = - 0.1700160598x - 0.383150736 R² = 0.9401406261

0.8

1

1.2

Para el sistema Metanol(1)/Acetonitrilo(2) en ELV a T=308.15 K, se tiene los datos experimentales Datos experimentales MARGULES WILSON P(KPa) 85.265 82.202 80.481 72.422 65.096 59.651 56.833 51.62 50.455 49.926 49.72 49.624

x1 0.0000 0.0579 0.0924 0.2482 0.3880 0.5036 0.5749 0.7676 0.8476 0.9093 0.9529 1.0000

y1 0.0000 0.0253 0.0416 0.1314 0.2457 0.3686 0.4564 0.7176 0.8238 0.9002 0.9502 1.0000

P

y1

P 85.2650 86.9436 87.6197 88.5012 87.2283 85.1055 83.3016 75.4801 69.8966 63.7614 57.9432 49.6240

y1 0.0000 0.0736 0.1107 0.2382 0.3210 0.3806 0.4171 0.5392 0.6202 0.7157 0.8187 1.0000

NRTL P 85.2650 87.5000 88.3850 89.6410 88.4120 86.2410 84.3370 75.7080 69.5740 63.1230 57.3400 49.6240

NRTL y1 0.0000 0.0790 0.1170 0.2400 0.3160 0.3700 0.4050 0.5310 0.6190 0.7210 0.8270

MARGULES

ΔP^2 7270.1202 6757.1688 6477.1914 5244.9461 4237.4892 3558.2418 3229.9899 2664.6244 2545.7070 2492.6055 2472.0784 2462.5414 SUMA 49412.7041 RAIZ CUADR 222.290

WILSON

NRTL

ΔP^2 0.0000 22.4828 50.9610 258.5407 489.8387 647.9316 700.5868 569.3044 377.9758 191.4183 67.6210 0.0000 3376.6610 58.109

ΔP^2 0.0000 28.0688 62.4732 296.4940 543.6359 707.0281 756.4700 580.2317 365.5362 174.1608 58.0644 0.0000 3572.1631 59.768