Abstract

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.

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