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A new simple model for calculation of solubilities of derivatized anthraquinone compounds in supercritical carbon dioxide

Hossein Rostamian and Mohammad Nader Lotfollahi

Faculty of Chemical, Petroleum and Gas Engineering, Semnan University, Semnan, Iran



Received: 22 January 2019  Accepted: 12 September 2019


A new modified Redlich–Kwong equations of state (βRK-EoS) is proposed to calculate the solubilities of eight dyeing compounds from anthraquinone family in supercritical CO2. In order to evaluate the results, the proposed model was also compared with the Peng–Robinson equation of state (PR-EoS) in combination with the van der Waals (vdW1) and Wong–Sandler (WS) mixing rules. The βRK–vdW0 model was found to deviate from the experimental results by 3.65%, whereas higher deviations were observed in PR–vdW1 and PR–WS models with providing AARDs of 11.44% and 6.8%, respectively. The modeling results show that the combination of βRK equation of state with vdW0 mixing rules, despite its simplicity, offers better results than other models and this combination can be used as a proper model to calculate the solubility of dye compounds in supercritical CO2.

Keywords: Thermodynamic modeling; Modified Redlich–Kwong; Solubilities; Supercritical CO2; Dyeing compounds

Full paper is available at

DOI: 10.1007/s11696-019-00936-1


Chemical Papers 74 (3) 985–993 (2020)

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