Prediction of solubility of vitamins in the mixed solvents using equation of state

•Solubility of vitamins C, E, K3 and B6H in the mixed solvents has been predicted using PHSC EOS.•The maximum solubility of vitamins in the mixed solvent has been predicted.•The solubilities of vitamins in the ternary systems have been predicted without using any adjustable parameters. In this work, the perturbed hard-sphere chain (PHSC) equation of state (EOS) has been utilized to predict the solubility of vitamins in mixed solvents. The solubilities of vitamins C, E, D3, K3, and B6H have been studied at various solvents and temperatures. The model parameters have been obtained using binary solubility experimental data at arbitrary temperatures. Using obtained temperature-independent model parameters, the solubility of the aforementioned vitamins in the binary systems has been predicted. The model has been used for twelve binary vitamin C-solvent and D3-solvent systems between 243 K to 323 K. The solubilities of vitamins in the ternary systems have been predicted without using any adjustable parameters. The performance of the PHSC EOS has been evaluated by comparing the results with the PC-SAFT model. The average AADs of the PHSC and the PC-SAFT EOSs for four studied vitamins in the ternary systems have been obtained 0.28 and 0.76, respectively. The results show that, the PHSC EOS can predict the vitamin solubility in the mixed solvent satisfactory. [Display omitted]