Color and Pigment Extraction Optimization
A process engineering framework for modeling the solid-liquid extraction kinetics of anthocyanins and carotenoids using pseudo-first-order models and the Beer-Lambert law.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Temperature in Kelvin (T_k)
- K
- K
Reference Temperature in Kelvin (T_ref_k)
- K
- K
Temperature-Corrected Rate Constant (k_t)
- s^-1
- s^-1
Extraction Time in Seconds (t_sec)
- s
- s
Pigment Concentration (C_t)
- mol/L
- mol/L
Measured Absorbance (A)
- unitless
- unitless
Particle Radius (r)
- m
- m
Effective Diffusivity (D_eff)
- m^2/s
- m^2/s
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This model is utilized in food and nutraceutical engineering to optimize the recovery of bioactive pigments from plant matrices. By applying Arrhenius temperature corrections and kinetic diffusion models, engineers can predict extraction yields and scale up batch reactor processes while ensuring pigment stability.
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