Calculating osmotic pressure of liquid mixtures by association theory for sustainable separating of solvents by membrane processes

• Published in: Journal of industrial and engineering chemistry (Seoul, Korea) 2022, 109(0), , pp.137-146
• Main Authors: Jalaei Salmani, Hossein, Karkhanechi, Hamed, Jeon, Sungil, Matsuyama, Hideto
• Format: Article
• Language: English
• Subjects: Equation of state; Membrane process; Organic solvent reverse osmosis; Organic solvent separation; Osmotic pressure; Van’t Hoff law; 화학공학
• ISSN: 1226-086X; 1876-794X
• DOI: 10.1016/j.jiec.2022.01.035

[Display omitted] •The osmotic pressure of numerous liquid mixtures was predicted at various conditions.•The original definition of osmotic pressure along with the CPA EoS and Van’t Hoff law were applied.•The obtained results provide useful and practical insight into the future of OSRO and OSFO. Recent years, the separation of organic liquid mixtures achieved by organic solvent nanofiltration (OSN), organic solvent reverse osmosis (OSRO), and organic solvent forward osmosis (OSFO) has gained a great momentum. In the methods, it is of particular importance to know the osmotic pressure of liquid mixtures for the correct process design. Although the Van’t Hoff law is frequently employed to estimate the osmotic pressure of such mixtures, unprecedented serious errors might be added to the results. In this study, the osmotic pressure of numerous binary liquid mixtures is predicted using the original definition of osmotic pressure along with the cubic plus association (CPA) equation of state (EoS) and the Van’t Hoff equation at various temperatures and compositions. CPA EoS considers hydrogen bonding effects in associating compounds (those with hydrogen bonds such as water and alcohols). The obtained results reveal that unlike the Van’t Hoff equation (the average deviation = 19.95 bar), the original definition of osmotic pressure with the aid of CPA EoS (the average deviation = 3.86 bar) can properly predict the osmotic pressure of the studied mixtures. Our findings are beneficial for various techniques utilized in the separation of organic liquid mixtures.