Epoxidized vegetable oils are great concern as they are obtained from sustainable, and renewable natural resources. The epoxidation of palm oil-derived oleic acid was carried out by using in situ generated performic acid to produce epoxidized palm oil-derived oleic acid. The maximum conversion of palm oil-derived oleic acid into oxirane was 86% by applying the in situ peracid mechanism. Based on the Fourier-transform infrared spectrum, the hydroxyl group was observed within a wavenumber range of 1210-1320 cm À1 . Last, a mathematical model was developed using Runge-Kutta method and after 100 iterations, the reaction rate parameters were obtained as follows: k 11 = 0.046 molÁL À1 Ámin À1 , k 12 = 39.058 molÁL À1 Ámin À1 , k 2 = 2.789 molÁL À1 Ámin À1 , and k 3 = 0.0235 molÁL À1 Ámin À1 for of dihydroxystearic acid production.