Fig. 10: Arrhenius plots for the extraction of oil fromIrvingia gabonensis kernel at 0.5, 1.0, 1.5, 2.0 and 2.5 mm
particle sizes for hyperbolic kinetic model.
Modeling
From Equations 7 and 12, the initial extraction rates h and
C1 for pseudo second-order and hyperbolic models,
respectively, could be modeled by plotting In h verses 1/T and In
C1 verses 1/T for the respective models. Figs. 11 and 12
show their respective plots. From the plots, the relationships (28) and
(29) were established at temperature of 328 K and 2.5 mm particle size.
\(h\ =\ k_{0}\text{\ exp}\left(\frac{-2924}{T}\right)\) (28)
\(C_{1}\ =\ k_{0}\text{\ exp}\left(\frac{-\ 2913}{T}\right)\) (29)
It could be seen that their initial extraction rates where close,
although pseudo second-order model had the higher value than that of
hyperbolic. This also reflects in the values obtained in Equations (28)
and (29).
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