Abstract

AbstractThe kinetics of isothermal extraction of caffeine from guarana seed under the action of ultrasonic field with simultaneous cooling (UESC) was investigated. The isothermal kinetics curves were measured at temperatures range T = 17-58°C. Using the model-fitting method it was determined that the kinetics of caffeine extraction can be described by a theoretical Jander three-dimensional diffusional model. The values of the rate constant were calculated for different temperatures, as well as the kinetic parameters (activation energy (Ea) and pre-exponential factor (lnA)). Based on the results obtained, it is concluded that the rate constants of caffeine extraction under UESC are about 2 times higher in comparison to the values obtained for the extraction in the conditions of conventional heating (CH). The activation energy of the caffeine extraction under the UESC $\left( E_{\text{a}}\,^{\text{UESC}}=19.4\,\text{kJ}\cdot \text{mo}{{\text{l}}^{-1}} \right)$is lower than the values are for CH $\left( E_{\text{a}}\,^{\text{CH}}=21.8\,\text{kJ}\cdot \text{mo}{{\text{l}}^{-1}} \right).$Energy consumption for UESC is four times lower than for CH conditions. It is shown that there is a linear correlation relationship between kinetic parameters obtained for UESC and CH conditions. The changes in the values of kinetic parameters are explained by the model of selective transfer of energy from the reaction system to the reactant molecules.

Highlights

  • Since the kinetics of extraction is commonly modelled with kinetic models: Spiro model, Fick’s second law of diffusion, and model of unsteady state diffusion through plant material, the possibility of modelling the kinetics of extraction of caffeine under the ultrasonic field with simultaneous cooling (UESC) by using these models were investigated

  • The shape of the established kinetic curves of caffeine extraction under the action of the ultrasonic field with simultaneous cooling does not change with the temperature

  • The activation energy of the investigated process under the UESC is independent on the degree of caffeine extraction confirming the existence of one rate-limiting step of the investigated process

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Summary

Introduction

For tha≤t tihe≤sedtelecht nviiqdueesnoctaenaleθaid-etiogetnhveeicnttoernsfoifricAat.ioTnheofordering {θ whenever A∗ actpsrooncetshseesb.aTshisat{ivsi}mdi=aininlyaanttirrirbeudteudcitbolethteridpihaygsoicnaal lafnadshion. If the the orderingch{eθmdi−cia}ldi=effiescatslsoof sutaltnradsaorudn,dananddnmo ifcurrotwhaevreofrideeldrsinognis standard. Let {θi}di= detnheotkeinaesttiacsndoaf rcdhoemrdiecarilnrgeaocfttihoneseiagnednvpahlyuseicsoocfhAem. Tichaeln A, A∗ is se is a standard ordperroincegssoefst.he eigenvalues of A∗ (see [7, Proposition 8.7])

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