In this paper, the extraction of gallic acid (GA) from brown sumac seeds was evaluated using supercritical-CO₂ (SC-CO₂) fluid and ethanol as the co-solvent, as well as Soxhlet method. Response surface methodology (RSM) design and optimize the experiments with second order model with the adjusted coefficient of determination (adj. R²) of 95.7%. Then, the supercritical fluid extraction (SFE) process was modeled based on differential mass balances and the shrinking core model. To determine the equilibrium coefficient, four thermodynamic equations were used. Based on the results, the optimal temperature, pressure, CO₂ flow rate and dynamic time were obtained as 35 °C, 30 MPa, 1.64 ml$/$min and 127.08 min, which resulted in 50.54% recovery (w$/$w), respectively. The mentioned mathematical model appropriately predicted the behavior of the process. Accordingly, the results obtained from thermodynamic equation of Peng–Robinson cubic plus association (PR-CPA) with adj. R² of 93.12%, showed the highest accuracy.

在本文中，没食子酸（GA）从棕色漆树种子提取使用超临界评价- CO ₂（SC-CO ₂）的流体和乙醇作为共溶剂，以及索氏方法。响应面分析法（RSM）设计并与确定的调整系数（形容词。优化与二阶模型实验- [R ²的95.7％）。然后，基于微分质量平衡和收缩核模型对超临界流体萃取（SFE）过程进行了建模。为了确定平衡系数，使用了四个热力学方程。根据结果​​，获得最佳温度，压力，CO ₂流量和动态时间为35°C，30 MPa，1.64 ml$/$分钟和127.08分钟，从而使回收率达到50.54％（$/$w）。所提到的数学模型适当地预测了过程的行为。因此，从Peng-Robinson三次加关联（PR-CPA）与调整的热力学方程获得的结果。R ²为93.12％，显示出最高的准确性。