Vitamin E acetate (VEA) exhibits promising pharmacological action in the pharmaceutical and cosmetic industries. The solubility of VEA in supercritical carbon dioxide is measured to determine the cloud-point pressures in a high-pressure variable-volume view cell at various temperatures (i.e., 308.15, 313.15, 318.15, 323.15, and 328.15 K) and pressures (8–15 MPa). The experimental results indicate that the solubility of VEA can be improved by increasing pressure and reducing temperature in the experimental range. Furthermore, four density-based semiempirical models are employed to correlate and predict the experimental results, including Chrastil, Kumar and Johnston (K-J), Bartle, and Mendez-Santiago and Teja (MST) equations. The theoretical calculation results are consistent with the determinatal results. The relevant AARD values of Chrastil, K-J, Bartle, and MST are 6.62, 6.83, 6.80, and 7.19%, respectively.

In this study, supercritical fluid extraction with carbon dioxide was applied to achieve a successful extraction of both β-carotene and α-tocopherol from pumpkin. To achieve the ideal optimization of this process, response surface methodology combined with a Box–Behnken design were used to thoroughly investigate the effect of extraction variables, such as pressure (20–30 MPa), temperature (40–50 °C) and the mass ratio of pumpkin flesh against pumpkin seed (0 : 1–2 : 1) on the yield of oil, α-tocopherol and β-carotene from pumpkin. The results indicated that the mass ratio of pumpkin flesh against pumpkin seed significantly influenced the extraction of oil, α-tocopherol and β-carotene. Three second-order polynomial mathematical models were determined for each response with high R-square values (>0.95) in the present experiment. The maximum yield of oil, α-tocopherol and β-carotene was 14.20 ± 0.80 g/100 g sample, 9.53 ± 1.20 mg/100 g sample and 20.50 ± 0.50 mg/100 g sample, respectively, corresponding to the extraction process under optimal conditions (i.e., pressure of 30 MPa, temperature of 47.75 °C and 67% of seed) using Derringer's desirability function method.