Abstract
Noncatalytic isomerization (R1) and hydration (R2) of fumaric acid (F) was carried out homogeneously and isothermally in an electric-heated batch reactor (reactor 1), in a microwave-heated tank reactor (reactor 2), and in an oven-heated tubular reactor (reactor 3) at temperatures between 448 and 623 K. The concentrations of F, malic acid (M), and maleic acid (Mx) were determined chromatographically at reaction times from zero up to 25,200 s. The variation in the rate constants for the forward reactions R1 and R2 with temperature was estimated with an Arrhenius type equation by involving parameters tuned on the results obtained in the first reactor (k10,α = 1.08×10−1 s−1, Ea1,α/R = 5070 K, k20,α = 1.62×101 M−1 s−1, Ea2,α/R = 8331 K). The set of data from the experiments performed in the reactors 2 and 3 under a variety of operating conditions was used to validate the tuned kinetic parameters. To investigate the contribution of the noncatalytic consumption of F to the overall conversion with hydrochloric acid as catalyst, an available kinetic model that takes the concentration of HCl into account was modified. The old model, which was only able to estimate correctly the kinetics of acid-catalyzed conversion of F with HCl at concentrations higher than 0.65 M, can now describe the kinetics of the same reaction system properly without HCl, or at any amount of this catalyst.
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Abbreviations
- C F :
-
Concentration of fumaric acid (mol l−1)
- C F0 :
-
Initial concentration of fumaric acid (mol l−1)
- C H :
-
Concentration of hydrochloric acid (mol l−1)
- C M :
-
Concentration of malic acid (mol l−1)
- C Mx :
-
Concentration of maleic acid (mol l−1)
- C W :
-
Concentration of water (mol l−1)
- E a1,α :
-
Tuned activation energy of the isomerization reaction without HCl (J kmol−1)
- E a1,β :
-
Tuned activation energy of the isomerization reaction with HCl (J kmol−1)
- E a2,α :
-
Tuned activation energy of the hydration reaction without HCl (J kmol−1)
- E a2,β :
-
Tuned activation energy of the hydration reaction with HCl (J kmol−1)
- f :
-
Objective function defined by Eq. 7
- k 1,α :
-
Forward-rate constant of the isomerization reaction R1 without HCl (s−1)
- k 1,β :
-
Forward-rate constant of the isomerization reaction R1 with HCl (M−1 s−1)
- k 10,α :
-
Tuned preexponential factor of the isomerization reaction R1 without HCl (s−1)
- k 10,β :
-
Tuned preexponential factor of the isomerization reaction R1 with HCl (M−1 s−1)
- K 1 :
-
Equilibrium constant for the isomerization reaction R1 at a temperature T
- k 2,α :
-
Forward-rate constant of the hydration reaction R2 without HCl (M−1 s−1)
- k 2,β :
-
Forward-rate constant of the hydration reaction R2 with HCl (M−2 s−1)
- k 20,α :
-
Tuned preexponential factor of the hydration reaction R2 without HCl (M−1 s−1)
- k 20,β :
-
Tuned preexponential factor of the hydration reaction R2 with HCl (M−2 s−1)
- K 2 :
-
Equilibrium constant for the hydration reaction R2 at a temperature T (M−1)
- P :
-
Reaction pressure (kPa)
- R :
-
Gas constant (J kmol−1 K−1)
- S :
-
Ratio between the concentration of malic and maleic acid, CM/CMx
- t :
-
Reaction time (s)
- T :
-
Reaction temperature (K)
- X F :
-
Overall conversion of fumaric acid
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Acknowledgements
Prof. Marcos Corazza and Prof. Fernando A. P. Voll are gratefully acknowledged for making available the facilities of the LACTA laboratory for this research.
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Mattar Knesebeck, A., Ortiz, R.W.P., Cardozo-Filho, L. et al. Isomerization and hydration of fumaric acid under catalytic and noncatalytic conditions. Reac Kinet Mech Cat 125, 521–534 (2018). https://doi.org/10.1007/s11144-018-1458-1
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DOI: https://doi.org/10.1007/s11144-018-1458-1