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Parametri NRTL e coefficienti di Antoine per la modellazione di sistemi di distillazione, Schemi e mappe concettuali di Termodinamica

informazioni sui fluidi puri, proprietà sui fluidi reali in diverse condizioni operative. Documenti molto utili per la risoluzioni di esercizi di termodinamica

Tipologia: Schemi e mappe concettuali

2018/2019

Caricato il 01/09/2019

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APPENDIX B
NRTL PARAMETERS AND
ANTOINE COEFFICIENTS
Tables B.1, B.2, and B.3 give binary interaction parameters (a,b, and c, respectively)
for the NRTL equation (Equations B.1 and B.2) for systems that have been used and
discussed extensively throughout the book. All parameters are regressed values from
the Dortmund databank, obtained from Aspen Plus
1
.
gi¼exp PjxjtjiGji
PkxkGki
þX
j
xjGij
PkxkGkj
tij PmxmtmjGmj
PkxkGkj

"#
(B.1)
where tij ¼aij þbij=TKðÞ and Gij ¼expðcijtij Þ(B.2)
Example of Using Tables B.1–B.3
Suppose the binary interaction coefficients are being sought for the benzene–
water system. We shall designate benzene as component iand water as component j.
Then, in Table B.1, progress down the first column until component iis found
(benzene). Then, progress down the row where component ihas been found and
search for the cell intersection with component jin the first row. It can be seen that
a
ij
¼45.191. To find a
ji
, repeat the procedure, but search for component jin the first
column, and then for the cell intersection with component iin the first row. In this
345
Understanding Distillation Using Column Profile Maps, First Edition. Daniel Beneke, Mark Peters,
David Glasser, and Diane Hildebrandt.
Ó2013 by John Wiley & Sons, Inc. Published 2013 by John Wiley & Sons, Inc.
pf3

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NRTL PARAMETERS AND

ANTOINE COEFFICIENTS

Tables B.1, B.2, and B.3 give binary interaction parameters (a, b, and c, respectively)

for the NRTL equation (Equations B.1 and B.2) for systems that have been used and

discussed extensively throughout the book. All parameters are regressed values from

the Dortmund databank, obtained from Aspen Plus^1.

gi ¼ exp

P

P^ j^ x^ j^ tji^ G^ ji

k x^ k^ G^ ki

þ

X

j

xj G ij

P

k x^ k^ G^ kj

tij 

P

P^ m^ xmtmj^ G^ mj

k x^ k^ G^ kj

(B.1)

where tij ¼ a ij þ b ij =T Kð Þ and Gij ¼ expðc ij tij Þ (B.2)

Example of Using Tables B.1–B.

Suppose the binary interaction coefficients are being sought for the benzene–

water system. We shall designate benzene as component i and water as component j.

Then, in Table B.1, progress down the first column until component i is found

(benzene). Then, progress down the row where component i has been found and

search for the cell intersection with component j in the first row. It can be seen that

a ij ¼ 45.191. To find a ji, repeat the procedure, but search for component j in the first

column, and then for the cell intersection with component i in the first row. In this

Understanding Distillation Using Column Profile Maps, First Edition. Daniel Beneke, Mark Peters, David Glasser, and Diane Hildebrandt. Ó 2013 by John Wiley & Sons, Inc. Published 2013 by John Wiley & Sons, Inc.

TABLE B.1 Binary Interaction Parameter aij for the NRTL Model for Selected Components

Methanol Ethanol Benzene p-Xylene Toluene Chloroform Water Acetone

Methanol 0.000 4.712 1.709 0.678 0.000 0.000 0.693 0. Ethanol 2.313 0.000 0.569 4.075 1.146 0.000 0.801 1. Benzene 11.580 0.916 0.000 0.000 2.885 0.000 45.191 0. p-Xylene 3.259 5.639 0.000 0.000 0.000 0 2.773 0. Toluene 0.000 1.722 2.191 0.000 0.000 0.000 247.879 1. Chloroform 0.000 0.000 0.000 0 0.000 0.000 7.352 0. Water 2.732 3.458 140.087 162.477 627.053 8.844 0.000 0. Acetone 0.000 0.347 0.102 0.000 1.203 0.965 6.398 0.

TABLE B.2 Binary Interaction Parameter bij for the NRTL Model for Selected Components

Methanol Ethanol Benzene p-Xylene Toluene Chloroform Water Acetone

Methanol 0.0 1162.3 892.2 295.5 371.1 71.9 173.0 114. Ethanol 483.8 0.0 54.8 1202.4 113.5 148.9 246.2 479. Benzene 3282.6 882.0 0.0 122.7 1124.0 375.4 591.4 239. p-Xylene 1677.6 2504.2 136.5 0.0 75.9 17.7 296.7 173. Toluene 446.9 992.7 863.7 91.1 0.0 57.0 14759.8 630. Chloroform 690.1 690.3 313.0 120.2 25.2 0.0 3240.7 106. Water 617.3 586.1 5954.3 6046.0 27269.4 1140.1 0.0 420. Acetone 101.9 206.6 306.1 83.2 400.5 590.0 1809.0 0.

TABLE B.3 Binary Interaction Parameter c (^) ij for the NRTL Model for Selected Components

Methanol Ethanol Benzene p-Xylene Toluene Chloroform Water Acetone

Methanol 0.0 0.3 0.4 0.5 0.3 0.3 0.3 0. Ethanol 0.0 0.0 0.3 0.3 0.3 0.3 0.3 0. Benzene 0.0 0.0 0.0 0.3 0.3 0.5 0.2 0. p-Xylene 0.0 0.0 0.0 0.0 0.3 0.3 0.2 0. Toluene 0.0 0.0 0.0 0.0 0.0 0.3 0.2 0. Chloroform 0.0 0.0 0.0 0.0 0.0 0.0 0.2 0. Water 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0. Acetone 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.