Population Mass Balance Model for Precipitation with Turbidity Measurements

Area of Science:

• Chemical Engineering
• Materials Science
• Physical Chemistry

Background:

• Discretized population balance theory is effective for simulating systems with solid particles.
• Modeling precipitation reactions requires understanding particle size distribution and dynamics.

Purpose of the Study:

• To introduce a novel approach for modeling precipitation reactions based on temporal product concentration evolution.
• To obtain particle size distribution, dynamics, and specific interfacial energies.
• To validate the method using calcium oxalate precipitation.

Main Methods:

• Modeling precipitation reactions via temporal evolution of product concentration.
• Utilizing turbidity measurements to follow calcium oxalate precipitation.
• Analyzing particle size distribution to identify nucleation and growth regimes.

Main Results:

• At low supersaturation, particle growth dominates; at high supersaturation, nucleation is dominant.
• Precipitation was successfully divided into nucleation, growth-driven intermediate, and saturation regimes.
• The method accurately predicts particle size distributions and specific interfacial energies.

Conclusions:

• The new modeling approach is suitable for predicting particle size distributions and specific interfacial energies in precipitation reactions.
• The temporal evolution of product concentration provides insights into precipitation dynamics.
• The method offers a valuable tool for studying solid-particle systems.