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Analysis of Thermodynamic Consistency Behavior of CO2 Solubility in Some Associating Solvents

  • Milad Mashayekhi
  • Hossein SakhaeiniaEmail author
  • Mohammad Shokouhi
Article
  • 23 Downloads

Abstract

The thermodynamic consistency analysis of ten mixtures of CO2/associating solvents with total of 160 isothermal data sets was investigated. For this purpose, the area test based on the generalized Gibbs–Duhem equations was applied and the Peng and Robinson/Stryjek and Vera equation of state with Panagiotopoulos–Reid combining rule (PRSV/PR EoS) was employed to correlate the isothermal PTx data. The binary adjustable constants in PRSV/PR EoS were figured out by optimization of errors on pressure and defined area simultaneously as an objective function in bubble pressure algorithm. The results turn out that among 160 isotherms meaningfully investigated, 29 data sets were found to be thermodynamically consistent, 72 data sets were found to be not fully consistent, 55 data sets were found to be thermodynamically inconsistent, and 4 data sets were found to be tried with other models.

Keywords

Carbon dioxide Equation of state Gibbs–Duhem equation Thermodynamic consistency Thermodynamics modeling 

List of symbols

Variables

\(\kappa_{1i}\)

Characteristic pure compound parameter in PRSV EoS

R

Universal gas constant

kij and kji

First and second binary interaction parameters

lij

Third adjustable parameter

υ

Molar volume

\(\upsilon^{r}\)

Residual molar volume

\(H^{r}\)

Residual molar enthalpy

\(\bar{G}_{i}^{r}\)

Residual molar Gibbs energy

TR

Reduced temperature

Tc

The critical temperature

Pc

The critical pressure

a

Interaction parameter in PRSV EoS

\(\alpha \left( T \right)\)

Temperature-dependent parameter in cubic equation of state

b

Co-volume constant in cubic equation of state

Z

Compressibility factors

x1 and x2

Liquid phase mole fraction of components 1 and 2

φ1 and φ2

Fugacity coefficients of components 1 and 2

Mw

Molecular weight

ω

Acentric factor

ND

Number of data point

AP

Integral for point x2i to x2i+1 using Px experimental data

Aϕ

Integral for point x2i to x2i+1 using thermodynamic model

Pi

Individual deviation in the system pressure for each point

Pav

Average deviation in the system pressure

Pmax

Maximum deviation in the system pressure

% ∆Ai

Individual relative percent area deviation

Abbreviations

PRSV EoS

Peng–Robinson–Stryjek–Vera equation of state

TC

Thermodynamically consistent

TI

Thermodynamically inconsistent

NFC

Not fully consistent

PG

1,2-Propylene glycol

EG

Ethylene glycol

DEG

Diethylene glycol

TEG

Triethylene glycol

OF

Objective function

W

Weighting factor in objective function

Notes

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Copyright information

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Authors and Affiliations

  1. 1.Department of Chemical Engineering, Central Tehran BranchIslamic Azad UniversityTehranIran
  2. 2.Gas Science Department, Gas Research Division, Research Institute of Petroleum Industry (RIPI)National Iranian Oil Company (NIOC)TehranIran

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