A model defining kinetics of papaya seed triglyceride PST transesterification heterogeneously catalyzed with calcined banana peel ash (CBPA) in papaya seed triglyceride methyl ester PSTME synthesis was established. The model was based on the reverse-basic reaction mechanism RB of transesterification. The transesterification reaction was performed at the optimum conditions of methanol to oil molar ratio 9:1, CBPA catalyst amount 2.5 wt%, stir- speed 600 rpm within a time range of 0–2 h at varying temperatures of 50 °C, 55 °C and 60 °C. The concentration vicissitudes of reactants/products reached its maximum at 1 h and remained constant across the temperature readings. Elevated temperature was noted to favor the reaction. The rate expression based on tri-glyceride to di-glyceride conversion as rate-controlling step in the reverse-basic reaction mechanism was established as the most dependable description of the experimental data. The activation energy and frequency factor were determined to be 61.7 kJ/mol and 9.8E9h−1 respectively. The enthalpy change ∆H, entropy change ∆S, and Gibb’s free energy ∆G of the process were determined as 61.7 kJ/mol, 19.1 kJ/mol K and − 60.75 kJ correspondingly. The estimation capacity of the model was verified by fixing the experimental data which indicated satisfactory relationship.
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